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Kawashita Mishio  川下 美潮

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KAWASHITA Mishio  川下 美潮

川下 美潮  カワシタ ミシオ

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Researcher Number 80214633
Other IDs
External Links
Affiliation (Current) 2025: 広島大学, 先進理工系科学研究科(理), 教授
Affiliation (based on the past Project Information) *help 2020 – 2023: 広島大学, 先進理工系科学研究科(理), 教授
2016 – 2019: 広島大学, 理学研究科, 教授
2012 – 2015: 広島大学, 理学(系)研究科(研究院), 教授
2012: 広島大学, 大学院・理学研究科, 教授
2012: 広島大学, 広島大学, 教授 … More
2011: 広島大学, 理学研究科, 准教授
2007 – 2011: Hiroshima University, 大学院・理学研究科, 准教授
2007 – 2008: 広島大学, 理学研究科, 准教授
2005 – 2006: 広島大学, 大学院理学研究科, 助教授
2001 – 2005: HIROSHIMA UNIV., GRAD. SCHOOL OF SCI., ASSIST. PROFESSOR, 大学院・理学研究科, 助教授
2001 – 2002: 広島大学, 理学研究科, 助教授
1997 – 2000: 茨城大学, 教育学部, 助教授
1993 – 1995: 茨城大学, 教育学部, 助教授 Less
Review Section/Research Field
Principal Investigator
Basic analysis / Basic Section 12020:Mathematical analysis-related / Mathematical analysis / Basic analysis / 解析学
Except Principal Investigator
Basic analysis / Basic analysis / Global analysis / 解析学 / Geometry / Global analysis / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
Lax-Phillips / 介在物推定 / 時間依存型逆問題 / 囲い込み法 / 境界値逆問題 / 散乱理論 / 空洞推定 / scattering kernel / Wilcox / Rayleigh波 … More / 表面波 / レゾルベント / レゾナンス / レゾルベントの極 / 局所エネルギー / レーリー波 / 弾性方程式 / 空洞状態推定 / 指数減衰誤差評価 / 漸近解 / 近似解 / 漸近解による方法 / 接合境界問題 / 局所化 / 波源推定逆問題 / 二層問題 / 接合境界条件 / 光学的距離 / 複数種の波 / Rayleigh wave / scattering theory / surface waves / wave equations / Rayleigh waves / Scattering theory / Surface waves / Lax-Phillps / 波動方程式 / ポテンシャル論 / 漸近展開 / 散乱逆問題 / 熱方程式 / 函数方程式 / 漸近解析 / 角を持つ領域 / 弾性表面波 / ストンレー波 / 非等方性 / 非等方性弾性方程式 … More
Except Principal Investigator
逆問題 / 弾性方程式 / 波動方程式 / 散乱理論 / エネルギー減衰 / 偏微分方程式 / 関数方程式 / タイヒミュラー空間 / DIRICHLET TO NEUMANN MAP / RESIDUAL STRESS / INVERSE SCATTERING / INVERSE PROBLEMS / 海洋音響 / Dirichlet-Neumann写像 / 残留応力 / 探針法 / 散乱の逆問題 / 双曲型方程式 / 数理物理学 / 反射 / 漸近解 / 弾性波 / 圧縮性粘性流体 / 指数積公式 / スペクトル理論 / 磁場散乱 / 臨界指数 / 非有界領域 / 複素積分 / エルゴード理論 / 熱力学形式 / 力学系ゼータ関数 / ブラウン運動 / 波の反射 / WKB method / quantum mechanics / system of the classical mechanics / zeta function / modified Lax-Phillips conjecture / scattering matrix / wave equation / 散乱極 / 修正版ラックス-ヒリップス予想 / WKB法 / 量子力学 / 古典力学系 / ゼータ関数 / 修正版Lax-Phillips予想 / 散乱行列 / ergodic theory / mapping class group / thermodynamic formalism / dynamical zeta function / Teichmuller space / 写像類群 / asymptotics of solutions / decay / Energy / exterior domain / Wave equation / 減衰評価 / 消散項 / 外部問題 / 解の挙動 / 減衰 / エネルギー / 外部領域 / inverse problems / energy decay / hyperbolic equations / partial differential equations / reflection of waves / scattering theories / elastic equations / the wave equation / CAUCHY DATA / CONDUCTIVITY EQUATION / CRACK / WELL POSEDNESS / PIEZOELECTRICITY / INCLUSION / ACOUSTICAL SCATTERING / TRANSVERSALLY ISOTROPIC / DISCRETIZATION / RECONSTRUCTION / UNIQUENESS / oscillating-decaying solution / 熱方程式 / 圧電体 / Dirichlet-Neumann 写像 / 横等方弾性 / 離散化 / 再構成 / 一意性 / Dirchlet-Neumann写像 / convergent finite element scheme to the Stokes equation / superosition of plane waves in the half-space / numeric construction of free boundaries / energy fecay of the Rayleigh surface waves / the adjoint method / generalized boundary problems / the density-dependent Stokes problem / two-layers problem / 表面波の散乱理論 / 時間大域解 / 数値計算法 / 移動境界問題 / 非適合有限要素 / 有限要素法 / 有限要素スキームの誤差解析 / レーリー波のエネルギー伝播式 / 平面波の表示 / 表面張力 / 自由境界 / 2層流の有限要素スキーム / 随伴解法 / 収束有限要素スキーム / 非均質ストークス方程式 / DIRAC EQUATION / PROBE MEHOD / LAYER STRIPPING / ELASTIC EQUATION / layer stripping method / Carleman estimate / 弾性波の散乱 / 心電図 / 再生核 / 移流項 / 境界値逆問題 / Dirac方程式 / layer stripping / Hyperbolic Equations / Mathematical Physics / Energy Decay / Reflection / Asymptotic Solutions / Scattering Theory / Wave Equations / Elastic Waves / 双曲系方程式 / 全反射 / 表面波 / Lp theory / Oberbeck-Boussinesq equation / K-P equation / compressible fluid mechanics / Navier-Stokes equation / dispersive equations / Schrodinger equations / Nonlinear PDE / 解析性 / テプリッツ作用素 / 輻射気体運動方程式 / オーバーペック・ブシネスリ近似 / 圧縮性粘性流年 / ナビエストークス方程式 / シュレディングー方程式 / 非線形備微分方程式 / L-p理論 / オーバーベック-ブシネスク / KP方程式 / ナヴィエ-ストークス方程式 / 分散系方程式 / シュレディンガー方程式 / 非線形偏微分方程式 / scattering amplitudes / scattering by magnetic fields / asymptotic distribution of eigenvalues / Pauli operator / Schrodinger semigroup / exponential product formula / 非一様磁場 / 固有値分布 / レゾルベント / 散乱振幅 / 固有値漸近分布 / パウリ作用素 / シュレディンガー半群 / 解の構造 / 光トモグラフィー / 粘弾性 / 非線形波動方程式 / レーリー波 / 粘性係数 / 弾性係数 / 断層同定 / 安定性 / MRE / 粘弾性方程式 / 応用解析 / 散乱問題 / 弾性波動方程式 / 散乱波 / シュレディンガー半群の基本解 / 準古典漸近解析 / レゾナンス / アハラノフ・ボーム効果 / シュレディンガー作用素 / スペクトル散乱理 / 関数方程式の大域理論 / 減衰率 / 局所エネルギー / 爆発 / 大域存在 / 摩擦 / 有限伝播速度 / ポテンシャル / 摩擦項 / 非線形問題 / 劣臨界 / 変数係数 / 摩擦係数 / 散乱 / 正則1次微分 / 素数定理 / Rauzy induction / 連分数変換 / 区間入換え変換 / ディリクレ形式 / 生成作用素 / 中心極限定理 / 区間入れ換え変換 / タイヒミュラー測地流 / サーストンコンパクト化 / 確率解析 / 確立解析 / ガウス曲率 / Simon予想 / 極小部分多様体 / 球面 / elementary abelian p-group / 周期module / Extra-special p-group / p-群 / 群のコホモロジー / モード変換 / 特異点 / 不連続解 / 散乱核 / 散乱論 / 漸近展開 Less
  • Research Projects

    (30 results)
  • Research Products

    (91 results)
  • Co-Researchers

    (65 People)
  •  逆問題における近似解に対する指数減衰型誤差評価法の開発Principal Investigator

    • Principal Investigator
      川下 美潮
    • Project Period (FY)
      2023 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Hiroshima University
  •  Possibility of localization methods for inverse problems of time dependent problemsPrincipal Investigator

    • Principal Investigator
      Kawashita Mishio
    • Project Period (FY)
      2019 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Hiroshima University
  •  Study on boundary inverse problems for time dependent problems with different kinds of wavesPrincipal Investigator

    • Principal Investigator
      Kawashita Mishio
    • Project Period (FY)
      2016 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Mathematical analysis
    • Research Institution
      Hiroshima University
  •  Development for inverse boundary value problems using asymptotic analysis of resolventsPrincipal Investigator

    • Principal Investigator
      Kawashita Mishio
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Mathematical analysis
    • Research Institution
      Hiroshima University
  •  Study of Inverse Problems for Family of Elasticity Equations

    • Principal Investigator
      NAKAMURA Gen
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
  •  Development of Inverse problems via asymptotic analysis -from the point of view of scattering theoryPrincipal Investigator

    • Principal Investigator
      KAWASHITA Mishio
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hiroshima University
  •  Spectral asymptotic analysis for Schrodinger operators

    • Principal Investigator
      TAMURA Hideo
    • Project Period (FY)
      2009 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Okayama University
  •  Development of representation of elastic waves and investigation of their fundamental properties

    • Principal Investigator
      SOGA Hideo
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Ibaraki University
  •  Ergodic-theoretical study of dynamical systems and stochastic processes on moduli space of curves

    • Principal Investigator
      MORITA Takehiko
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Hiroshima University
  •  Mathematical Analysis for Inverse Scattering Problems of Elastic Waves

    • Principal Investigator
      SOGA Hideo
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Ibaraki University
  •  Method of analysis for scattering of elastic surface waves on boundaries with cornersPrincipal Investigator

    • Principal Investigator
      KAWASHITA Mishio
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hiroshima University
  •  Energy estimates for hyperbolic equations in unbounded domains and their applications

    • Principal Investigator
      IKEHATA Ryo
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hiroshima University
  •  タイヒミュラー空間上のブラウン運動と曲線のモジュライ空間の確率解析

    • Principal Investigator
      MORITA Takehiko
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Hiroshima University
  •  Ergodic-theoretical study of the distribution of Teichmuller closed geodesics and the dynamical zeta functions

    • Principal Investigator
      MORITA Takehiko
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Hiroshima University
  •  Analysis of various amounts charactering scattering phenomena for the elastic surface wavesPrincipal Investigator

    • Principal Investigator
      KAWASHITA Mishio
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hiroshima University
  •  On distribution of scattering poles for several convex bodies

    • Principal Investigator
      IKAWA Mitsuru
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Kyoto University
  •  Scattering theory for the elastic surface wavesPrincipal Investigator

    • Principal Investigator
      KAWASHITA Mishio
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      HIROSHIMA UNIVERSITY
  •  A study on asymptotic behavior of solutions for evolution equations

    • Principal Investigator
      IKEHATA Ryo
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      HIROSHIMA UNIVERSITY
  •  Analysis of scattering waves by perturbed portions

    • Principal Investigator
      SOGA Hideo
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      IBARAKI UNIVERSITY
  •  弾性表面波の拘束現象とレゾナンスPrincipal Investigator

    • Principal Investigator
      川下 美潮
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Basic analysis
    • Research Institution
      Hiroshima University
      Ibaraki University
  •  RECONSTRUCTION PROCEDURE FOR INVERSE PROBLEMS

    • Principal Investigator
      NAKAMURA Gen
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      HOKKAIDO UNIVERSITY
      Gunma University
  •  The research on homogenization, elasitic problems and the algorithms for numerical simulations of flows of liquids and development

    • Principal Investigator
      KAIZU Satoshi
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      IBARAKI UNIVERSITY
  •  Analysis of special waves in elastic bodies

    • Principal Investigator
      SOGA Hideo
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Ibaraki University
  •  MATHEMATICAL ANALYSIS FOR INVERSE PROBLEMS IN CONTINUUM MECHANICS

    • Principal Investigator
      NAKAMURA Gen
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Gunma University
  •  非等方弾性体におけるレーリー波に関する解析の研究Principal Investigator

    • Principal Investigator
      川下 美潮
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Ibaraki University
  •  Spectral and Scattering Theory and its Application

    • Principal Investigator
      TAMURA Hideo
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Okayama University
      Ibaraki University
  •  Research for the Lp theory of the solutions to nonlinear partial differential equations

    • Principal Investigator
      OGAWA Takayoshi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      KYUSHU UNIVERSITY
      Nagoya University
  •  極小部分多様体の幾何学の研究

    • Principal Investigator
      阪本 邦夫
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Ibaraki University
  •  有限P群のコホモロジー及びBP-理論の研究

    • Principal Investigator
      柳田 伸顕
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Ibaraki University
  •  弾性方程式の散乱核の特異点に関する漸近表示

    • Principal Investigator
      SOGA Hideo
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Ibaraki University

All 2024 2023 2022 2021 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2007 2006 2005 2004 Other

All Journal Article Presentation

  • [Journal Article] Enclosure method for inverse problems with the Dirichlet and Neumann combined case2023

    • Author(s)
      Mishio Kawashita and Wakako Kawashita
    • Journal Title

      the proceedings of IMI workshop, "Practical inverse problems and their prospects". in Book series "Mathematics for Industry"

      Volume: 37

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03565
  • [Journal Article] Asymptotics of some function corresponding to refraction phenomena arising in inverse problems of wave equation of flat two layer medium2021

    • Author(s)
      Mishio Kawashita and Wakako Kawashita
    • Journal Title

      RIMS Koukyuroku

      Volume: 2195 Pages: 42-63

    • NAID

      120007165864

    • Open Access
    • Data Source
      KAKENHI-PROJECT-19K03565
  • [Journal Article] On finding a buried obstacle in a layered medium via the time domain enclosure method in the case of possible total reflection phenomena2019

    • Author(s)
      Ikehata, M., Kawashita, M. and Kawashita, W.
    • Journal Title

      Inverse Problems and Imaging

      Volume: 13 Issue: 5 Pages: 959-981

    • DOI

      10.3934/ipi.2019043

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05331, KAKENHI-PROJECT-19K03565, KAKENHI-PROJECT-18H01126
  • [Journal Article] Asymptotic behavior of the solutions for the Laplace equation with a large spectral parameter and the inhomogeneous Robin type conditions2018

    • Author(s)
      Masaru Ikehata and Mishio Kawashita
    • Journal Title

      Osaka Journal of Mathematics

      Volume: 55 Pages: 117-163

    • NAID

      120006382759

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16K05232
  • [Journal Article] On finding a buried obstacle in a layered medium via the time domain enclosure method2018

    • Author(s)
      Ikehata, M. and Kawashita, M.
    • Journal Title

      Inverse Problems and Imaging

      Volume: 12 Issue: 5 Pages: 1173-1198

    • DOI

      10.3934/ipi.2018049

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05331, KAKENHI-PROJECT-18H01126, KAKENHI-PROJECT-16K05232
  • [Journal Article] Estimates of the integral kernels arising from inverse problems for a three-dimensional heat equation in thermal imaging2014

    • Author(s)
      M.Ikehata and M. Kawashita
    • Journal Title

      Kyoto J. Math.

      Volume: 54 Pages: 1-50

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400170
  • [Journal Article] An inverse problem for a three-dimensional heat equation in thermal imaging and the enclosure method2014

    • Author(s)
      Ikehata, M. and Kawashita, M.
    • Journal Title

      Inverse Problems and Imaging

      Volume: 8 Issue: 4 Pages: 1073-1116

    • DOI

      10.3934/ipi.2014.8.1073

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400155, KAKENHI-PROJECT-25400170, KAKENHI-PROJECT-26287020
  • [Journal Article] Weighted energy estimates for wave equations in exterior domains2011

    • Author(s)
      M. Kawashita and H. Sugimoto
    • Journal Title

      Forum Math

      Volume: 23 Pages: 1217-1258

    • NAID

      120005147879

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540161
  • [Journal Article] Weighted energy estimates for wave equations in exterior domains2011

    • Author(s)
      M. Kawashita and H. Sugimoto
    • Journal Title

      Forum Math

      Volume: 23 Pages: 1217-1258

    • NAID

      120005147879

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540194
  • [Journal Article] Local energy decay for wave equations in exterior domains with regular or fast decaying dissipations2011

    • Author(s)
      M. Kawashita and K. Suzuki
    • Journal Title

      SUT J. Math

      Volume: 47 No.2 Pages: 143-159

    • NAID

      120006397952

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540161
  • [Journal Article] Local energy decay for wave equations in exterior domains with regular or fast decaying dissipations2011

    • Author(s)
      M. Kawashita and K. Suzuki
    • Journal Title

      SUT Journal of Mathematics

      Volume: 47 Pages: 143-159

    • NAID

      120006397952

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540194
  • [Journal Article] On the reconstruction of inclusions in a heat conductive body from dynamical boundary data over a finite time interval2010

    • Author(s)
      M. Ikehata and M. Kawashita
    • Journal Title

      Inverse Problems

      Volume: 26

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540194
  • [Journal Article] On the reconstruction of inclusions in a heat conductive body from dynamical boundary data over a finite time interval2010

    • Author(s)
      M.Ikehata, M.Kawashita
    • Journal Title

      Inverse Problem

      Volume: 26 Pages: 95004-95004

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540194
  • [Journal Article] The enclo sure method for the heat equation.2009

    • Author(s)
      Ikehata, M, Kawashita, M
    • Journal Title

      Inverse Problems 25,no.7

      Pages: 1-10

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340038
  • [Journal Article] The enclosure method for the heat equations2009

    • Author(s)
      M. Ikehata, M. Kawashita
    • Journal Title

      Inverse problem 25

      Pages: 75005-75005

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540183
  • [Journal Article] The enclosure method for the heat equations2009

    • Author(s)
      M.Ikehata, M.Kawashita
    • Journal Title

      Inverse problem 25

      Pages: 75005-75005

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540183
  • [Journal Article] Scattering theory for the elastic wave equation in perturbed half-spaces2006

    • Author(s)
      M.Kawashita, W.Kawashita, H.Soga
    • Journal Title

      Trans. Amer. Math. Soc 358-12

      Pages: 5319-5350

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540156
  • [Journal Article] Scattering theory for the elastic wave equation in perturbed half space2006

    • Author(s)
      M.Kawashita
    • Journal Title

      Trans.Amer.Math.Soc. 358-12

      Pages: 5319-5350

    • Data Source
      KAKENHI-PROJECT-16340048
  • [Journal Article] Scaffering theory for the elastic wave equation in perturbed half-spaces2006

    • Author(s)
      M.Kawashita
    • Journal Title

      Trans.Amer.Math Soc. 358-12

      Pages: 5319-5350

    • Data Source
      KAKENHI-PROJECT-16654029
  • [Journal Article] Scattering theory for the elastic wave equation in perturbed half-spaces2006

    • Author(s)
      M.Kawashita
    • Journal Title

      Trans. Amer. Math. Soc. 358・12

      Pages: 5319-5350

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540156
  • [Journal Article] Scattering theory for the elastic wave equation in perturbed half-spaces2006

    • Author(s)
      M.Kawashita
    • Journal Title

      Trans. Amer. Math. Soc. 358-12

      Pages: 5319-5350

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340048
  • [Journal Article] Scattering theory for the elastic wave equation in perturbed half-spaces and representation of the scattering kernel2006

    • Author(s)
      M.Kawashita, W.Kawashita, H.Soga
    • Journal Title

      Hyperbolic problems, Theory, numerics and applications II, F. Asakura et al. (ed.), Yokohama Publishers, Yokohama

      Pages: 93-100

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540156
  • [Journal Article] Scattering theory for the elastic wave equation in perturbed half-spaces and representation of the scattering kernel2006

    • Author(s)
      M.Kawashita
    • Journal Title

      Hyperbolic problems, Theory, numerics and applications II (F. Asakura et.al. (ed.))

      Pages: 93-100

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540156
  • [Journal Article] Scattering theory for the elastic wave equation in perturbed half-spaces2006

    • Author(s)
      M.Kawashita
    • Journal Title

      Trans. Amer. Math. Soc 358・12

      Pages: 5319-5350

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340048
  • [Journal Article] Scattering theory for the elastic wave equation in perturbed half-spaces and representation of the scattering kernel2006

    • Author(s)
      M.Kawashita
    • Journal Title

      Hyperbolic problems, Theory, numerics and applications Il, f. Asakura et. al. (ed.)

      Pages: 93-100

    • Data Source
      KAKENHI-PROJECT-16540156
  • [Journal Article] Analyticity of the resolvent-for elastic waves in a perturbed isotropic half space2005

    • Author(s)
      M.Kawashita
    • Journal Title

      Math.Nachr. 278・10

      Pages: 1163-1179

    • Data Source
      KAKENHI-PROJECT-16540156
  • [Journal Article] The analyticity of the resolvent for elastic waves in a perturbed isotropic half space2005

    • Author(s)
      M.Kawashita
    • Journal Title

      Math. Nachr. 278・10

      Pages: 1163-1179

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340048
  • [Journal Article] The analyticity of the resolvent for elastic waves in a perturbed isotropic half space2005

    • Author(s)
      M.Kawashita
    • Journal Title

      Math. Nachr. 278-10

      Pages: 1163-1179

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340048
  • [Journal Article] Analyticity of the Resolvent for Elastic Waves in a Perturbed Isotropic Half Space2005

    • Author(s)
      M.Kawashita
    • Journal Title

      Math. Nachr. 278・10

      Pages: 1163-1179

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540156
  • [Journal Article] Analyticity of the Resolvent for Elastic Waves in a Perturbed Isotropic Half Space2005

    • Author(s)
      M.Kawashita
    • Journal Title

      Math. 278

      Pages: 1163-1179

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540189
  • [Journal Article] Analyticity of the Resolvent for Elastic Waves in a Perturbed Isotropic Half Space2005

    • Author(s)
      M.Kawashita
    • Journal Title

      Math.Nachr. 278

      Pages: 1163-1179

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540189
  • [Journal Article] Analyticity of the resolvent for elastic waves in a isotropic half space2005

    • Author(s)
      M.Kawashita
    • Journal Title

      Math.Nachr. 278・10

      Pages: 1163-1179

    • Data Source
      KAKENHI-PROJECT-16654029
  • [Journal Article] Analyticity of the Resolvent for Elastic Waves in a Perturbed Isotropic Half Space2005

    • Author(s)
      M.Kawashita, W.Kawashita
    • Journal Title

      Math. Nachr 278-10

      Pages: 1163-1179

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540156
  • [Journal Article] Analyticity of the resolvent for elastic waves in a perturbed isotropic half space2005

    • Author(s)
      M.Kawashita
    • Journal Title

      Math.Nachr 278・10

      Pages: 1163-1179

    • Data Source
      KAKENHI-PROJECT-16340048
  • [Journal Article] Non decay of the total energy for the wave equation with dissipative term of spatial anisotropy2004

    • Author(s)
      M.Kawashita
    • Journal Title

      Nagoya J.Math. 174

      Pages: 115-126

    • Data Source
      KAKENHI-PROJECT-16340048
  • [Journal Article] Non decay of the total energy for the wave equation with the dissipative term of spatial anisotropy2004

    • Author(s)
      M.Kawashita, H.Nakazawa, H.Soga
    • Journal Title

      Nagoya J.Math 174

      Pages: 115-126

    • Data Source
      KAKENHI-PROJECT-16540189
  • [Journal Article] Non decay of the total energy for the wave equation with the dissipative term of spatial anisotropy2004

    • Author(s)
      M.Kawashita, H.Nakazawa, H.Soga
    • Journal Title

      Nagoya J. Math 174

      Pages: 115-126

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540156
  • [Journal Article] Non decay of the total energy for the wave equation with the dissipative term of spatial anisotropy2004

    • Author(s)
      M.Kawashita
    • Journal Title

      Nagoya J. Math. 174

      Pages: 115-126

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540156
  • [Journal Article] Non decay of the total energy for the wave equation with the dissipative term of spatial anisotropy2004

    • Author(s)
      M.Kawashita
    • Journal Title

      Nagoya J.Math. 174

      Pages: 115-125

    • Data Source
      KAKENHI-PROJECT-16540156
  • [Journal Article] Non decay of the total energy the wave equation with dissipative term of spatial anisotropy2004

    • Author(s)
      M.Kawashita
    • Journal Title

      Nagoya J. Math. 174

      Pages: 115-126

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340048
  • [Journal Article] Non decay of the total energy for the wave equation with dissipative term of spatial anisotropy2004

    • Author(s)
      M.Kawashita
    • Journal Title

      Nagoya J. Math. 174

      Pages: 115-126

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340048
  • [Journal Article] Scattering theory for the elastic wave equation in perturbed half-spaces

    • Author(s)
      M.Kawashita
    • Journal Title

      Transaction AMS (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540189
  • [Journal Article] Scattering theory for the elastic wave equation in perturbed half-spaces

    • Author(s)
      M.Kawashita
    • Journal Title

      Transaction AMS (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540189
  • [Journal Article] Singular support of the scattering kernel for the Rayleigh wave in perturbed half-spaces

    • Author(s)
      M. Kawashita, H. Soga
    • Journal Title

      Methods and Applications of Analysis (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540183
  • [Journal Article] Weighted energy estimates for wave equations in exterior domains

    • Author(s)
      M. Kawashita, H. Sugimoto
    • Journal Title

      orum Math (掲載決定)

    • NAID

      120005147879

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540183
  • [Journal Article] Estimates of the integral kernels arising inverse problems for a three-dimensional heat equation in thermal imaging

    • Author(s)
      M. Ikehata and M. Kawashita
    • Journal Title

      Kyoto Journal of Mathematics

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540194
  • [Journal Article] Weighted energy estimates for wave equations in exterior domains

    • Author(s)
      M.Kawashita, H.Sugimoto
    • Journal Title

      Forum Mathematicum (掲載決定)

    • NAID

      120005147879

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540183
  • [Journal Article] Singular support of the scattering kernel for the Rayleigh wave in perturbed half-spaces

    • Author(s)
      M.Kawashita, H.Soga
    • Journal Title

      Methods and Applications of Analysis (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540183
  • [Journal Article] Scattering theory for the elastic wave equation in perturbed half-spaces

    • Author(s)
      M.Kawashita
    • Journal Title

      Transaction AMS (to appear)

    • Data Source
      KAKENHI-PROJECT-16540189
  • [Presentation] Inverse problems for media with multiple types of cavities2024

    • Author(s)
      川下美潮
    • Organizer
      第41回 九州における偏微分方程式研究集会
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03184
  • [Presentation] Inverse problems for media with multiple types of cavities2024

    • Author(s)
      川下美潮
    • Organizer
      第41回 九州における偏微分方程式研究集会
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03565
  • [Presentation] 複数種の穴を持つ媒質についての波動方程式による逆問題における指示関数の漸近挙動について2023

    • Author(s)
      川下美潮・川下和日子
    • Organizer
      日本数学会2023年度秋期総合分科会一般講演
    • Data Source
      KAKENHI-PROJECT-19K03565
  • [Presentation] 複数種の穴を持つ媒質についての波動方程式による逆問題における指示関数の漸近挙動について2023

    • Author(s)
      川下美潮・川下和日子
    • Organizer
      日本数学会2023年度秋期総合分科会一般講演
    • Data Source
      KAKENHI-PROJECT-23K03184
  • [Presentation] Dirichlet 境界と Neumann 境界が混在する媒質における波動方程式の逆問題に現れる指示関数の漸近挙動について2023

    • Author(s)
      川下美潮・川下和日子
    • Organizer
      Takamatsu Workshop on Partial Differential Equations
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K03565
  • [Presentation] Inverse problems for wave equations with the Dirichlet and Neumann cavities2022

    • Author(s)
      Mishio Kawashita
    • Organizer
      Practical inverse problems and their prospects
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03565
  • [Presentation] Inverse problems for wave equations with the Dirichlet and Neumann cavities2022

    • Author(s)
      Mishio Kawashita
    • Organizer
      Theory and practice in inverse problems
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03565
  • [Presentation] Finding obstacles in the below side of two layered media by the enclosure method2021

    • Author(s)
      川下美潮
    • Organizer
      第12回 名古屋微分方程式研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K03565
  • [Presentation] Asymptotics of some function corresponding to refraction phenomena arising in inverse problems for wave equations in at two-layered medium2019

    • Author(s)
      川下美潮
    • Organizer
      スペクトル・散乱理論とその周辺(RIMS 共同研究(公開型))
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03565
  • [Presentation] Finding obstacles in a two-layered medium by the enclosure method2018

    • Author(s)
      Mishio Kawashita
    • Organizer
      Inverse Problems for Partial Differential Equations In honor of Professor Masaru Ikehata on the occasion of his 60th Birthday
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05232
  • [Presentation] 囲い込み法による接合境界面の下側にある異物検出について2018

    • Author(s)
      川下 美潮
    • Organizer
      松山解析セミナー 2018
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05232
  • [Presentation] 囲い込み法による平坦な接合境界の下側にある介在物の検出についてI2018

    • Author(s)
      川下 美潮
    • Organizer
      Okayama Workshop on Partial Differential Equations
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05232
  • [Presentation] 囲い込み法による平坦な接合境界の下側にある介在物の検出についてII2018

    • Author(s)
      川下 美潮
    • Organizer
      Okayama Workshop on Partial Differential Equations
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05232
  • [Presentation] 囲い込み法による平坦な接合境界面の下側にある異物検出2018

    • Author(s)
      川下 美潮
    • Organizer
      保存則をもつ偏微分方程式の解の正則性,特異性および漸近挙動の研究
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05232
  • [Presentation] The enclosure method for the time dependent problems and the shortest lengths2018

    • Author(s)
      Mishio Kawashita
    • Organizer
      International Workshop on Inverse Problems for Partial Differential Equations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05232
  • [Presentation] Asymptotics of the function corresponding to refracted waves for the flat transmission boundary and the enclosure method2017

    • Author(s)
      Mishio Kawashita
    • Organizer
      RIMS Workshop on Inverse problems for partial differential equations and related areas
    • Place of Presentation
      京都大学数理解析研究所 420号室
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05232
  • [Presentation] レゾルベントと囲い込み法による逆問題2017

    • Author(s)
      川下 美潮
    • Organizer
      第65回岐阜数理科学セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05232
  • [Presentation] 消散型波動方程式の局所エネルギー2017

    • Author(s)
      川下美潮
    • Organizer
      現象解析特別セミナー第11回
    • Place of Presentation
      茨城大学教育学部B棟2階B205
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05232
  • [Presentation] 平坦な接合境界面を持つ媒質を伝わる波を用いた介在物推定問題の囲い込み法による解析について2017

    • Author(s)
      川下 美潮
    • Organizer
      第 649 回『 応 用 解 析 』 研 究 会
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05232
  • [Presentation] Decaying properties of the total and local energies for the wave equations with dissipations2016

    • Author(s)
      Mishio Kawashita
    • Organizer
      The 7 th Pacific RIM Conference on Mathematics 2016
    • Place of Presentation
      Room 406, Department of Mathematical Sciences, Seoul National University, Korea
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05232
  • [Presentation] Decaying properties of the total and local energies for the wave equations with dissipations2016

    • Author(s)
      Mishio Kawashita
    • Organizer
      Seminarie d'analyse, Universite de Nantes
    • Place of Presentation
      Salle des seminaries, Laboratoire de Mathematiques, Universite de Nantes, France
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05232
  • [Presentation] 複数の凸な空洞をもつ領域上の熱方程式に対する囲い込み法2015

    • Author(s)
      川下美潮
    • Organizer
      ひこね解析セミナー
    • Place of Presentation
      彦根勤労福祉会館
    • Year and Date
      2015-06-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400170
  • [Presentation] 消散項付き波動方程式の解のエネルギー減衰について2014

    • Author(s)
      川下 美潮
    • Organizer
      信州大学偏微分方程式研究集会
    • Place of Presentation
      信州大学 理学部
    • Year and Date
      2014-06-13
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400170
  • [Presentation] 消散項付き波動方程式の解のエネルギー減衰について2014

    • Author(s)
      川下 美潮
    • Organizer
      Seminar on Nonlinear Analysis at O-okayama
    • Place of Presentation
      東京工業大学 情報理工学研究科
    • Year and Date
      2014-12-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400170
  • [Presentation] 消散項付き波動方程式の解のエネルギー減衰について2014

    • Author(s)
      川下美潮
    • Organizer
      現象解析特別セミナー第5回
    • Place of Presentation
      茨城大学教育学部
    • Data Source
      KAKENHI-PROJECT-25400170
  • [Presentation] Decaying properties of the total and local energies for the wave2014

    • Author(s)
      川下美潮
    • Organizer
      第31回九州における偏微分方程式研究集会
    • Place of Presentation
      福岡大学 メディカルホール
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400170
  • [Presentation] Sufficient conditions for decaying properties of local energy for the dissipative wave equations2014

    • Author(s)
      川下美潮
    • Organizer
      第6回 名古屋微分方程式研究集会
    • Place of Presentation
      名古屋大学 多元数理研究科
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400170
  • [Presentation] Energy decay properties for dissipative wave equations in exterior domains2013

    • Author(s)
      川下 美潮
    • Organizer
      非線形波動方程式とその周辺に関する研究集会
    • Place of Presentation
      北海道大学理学部
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540194
  • [Presentation] Energy decay properties for dissipative wave equations in exterior domains2013

    • Author(s)
      川下美潮
    • Organizer
      非線形波動方程式とその周辺に関する研究集会
    • Place of Presentation
      北海道大学
    • Year and Date
      2013-02-02
    • Data Source
      KAKENHI-PROJECT-22540194
  • [Presentation] Enclosure methods for the heat equations2012

    • Author(s)
      川下 美潮
    • Organizer
      TAIWAN-JAPAN Joint Conference on PDE and Analysis
    • Place of Presentation
      國立臺灣大學 數學系
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540194
  • [Presentation] The enclosure method for the heat equations in bounded domains with cavities2012

    • Author(s)
      川下美潮
    • Organizer
      武漢大学学術報告
    • Place of Presentation
      中華人民共和国武漢大学数学統計学院(招待講演)
    • Year and Date
      2012-03-09
    • Data Source
      KAKENHI-PROJECT-22540194
  • [Presentation] 熱方程式に対する囲い込み法とレゾルベントの漸近挙動2012

    • Author(s)
      川下美潮
    • Organizer
      2012年日本数学会年会函数方程式論分科会特別講演
    • Place of Presentation
      東京理科大学
    • Year and Date
      2012-03-28
    • Data Source
      KAKENHI-PROJECT-22540194
  • [Presentation] Estimates of the integral kernels for the boundary integral operators2012

    • Author(s)
      川下 美潮
    • Organizer
      偏微分方程式の逆問題解析とその周辺に関する研究
    • Place of Presentation
      京都大学 数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540194
  • [Presentation] The enclosure method for the heat equations in bounded domains with cavities2012

    • Author(s)
      川下美潮
    • Organizer
      武漢大学学術報告
    • Place of Presentation
      中華人民共和国武漢大学数学統計学院
    • Year and Date
      2012-03-09
    • Data Source
      KAKENHI-PROJECT-22540194
  • [Presentation] Enclosure methods for the heat equations2012

    • Author(s)
      川下美潮
    • Organizer
      TAIWAN-JAPAN Joint Conference on PDE and Analysis
    • Place of Presentation
      國立臺灣大學 數學系 臺灣
    • Year and Date
      2012-12-27
    • Data Source
      KAKENHI-PROJECT-22540194
  • [Presentation] Estimates of the integral kernels for the boundary integral operators2012

    • Author(s)
      川下美潮
    • Organizer
      偏微分方程式の逆問題解析とその周辺に関する研究
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2012-11-21
    • Data Source
      KAKENHI-PROJECT-22540194
  • [Presentation] 熱方程式に対する囲い込み法とレゾルベントの漸近挙動2012

    • Author(s)
      川下美潮
    • Organizer
      2012年日本数学会年会函数方程式論分科会特別講演
    • Place of Presentation
      東京理科大学(招待講演)
    • Year and Date
      2012-03-28
    • Data Source
      KAKENHI-PROJECT-22540194
  • [Presentation] Asymptotic behaviour of the resolvent and enclosure method for the heat equations in bounded domains with a cavity2011

    • Author(s)
      川下美潮
    • Organizer
      幾何学的偏微分方程式における保存則と 正則性特異性の研究
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2011-06-08
    • Data Source
      KAKENHI-PROJECT-22540194
  • [Presentation] Asymptotic behaviour of the resolvent and enclosure method for the heat equations in bounded domains with a cavity2011

    • Author(s)
      川下美潮
    • Organizer
      幾何学的偏微分方程式における保存則と正則性特異性の研究
    • Place of Presentation
      京都大学数理解析研究所(招待講演)
    • Year and Date
      2011-06-08
    • Data Source
      KAKENHI-PROJECT-22540194
  • [Presentation] Scattering for the Rayleigh Waves in Perturbed Half-Spaces2010

    • Author(s)
      Mishio Kawashita
    • Organizer
      AMS 2010 Spring Southeastern Sectional Meeting
    • Place of Presentation
      Lexington, KY、USA
    • Year and Date
      2010-03-27
    • Data Source
      KAKENHI-PROJECT-19540183
  • [Presentation] Scattering for the Rayleigh waves in perturbed half-spaces2010

    • Author(s)
      Kawashita Mishio
    • Organizer
      AMS 2010 Spring Southeastern Sectional Meeting
    • Place of Presentation
      Lexington, KY, USA
    • Year and Date
      2010-03-27
    • Data Source
      KAKENHI-PROJECT-19540183
  • [Presentation] Rayleigh波の散乱逆問題について2007

    • Author(s)
      川下美潮
    • Organizer
      2007年度日本数学会秋季総合分科会
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-24
    • Data Source
      KAKENHI-PROJECT-19540183
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