AKAMATSU Toyohiro 赤松豊博

… Alternative Names

赤松豊博アカマツトヨヒロ

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Researcher Number	00112772
Other IDs
Affiliation (based on the past Project Information) *help	1997 – 2007: 東海大学, 理学部, 教授 1994 – 1995: 東海大学, 理学部, 教授
Review Section/Research Field	Except Principal Investigator 解析学 / Global analysis / Global analysis / Algebra
Keywords	Except Principal Investigator periodic solution / 波動方程式 / quasiperiodic solution / Diophantine inequality / 弦の振動 / 準周期解 / 漸近挙動 / damped wave equation / cut locus / suspended string … More / Suspended string equation / almost periodic solution / nonlinear wave equation / 概周期解 / 周期解 / energy nondecay / 回転指数 / Reduction Theorem / Diophantine近似 / Lissajous境界条件 / ディオファントス近似不等式 / 一次元波動方程式 / 凝集点 / 爆発点 / 半線形楕円型 / hypoellipticity / Tononogov's theorem / oscillating boundary / asymptotic behavior / odd data problem / scattering theory / local energy decay / L^p-estimates / time-dependent dissipation / Wave equation / L^p-L^q estimates / 準楕円型偏微分作用素 / Topongovの比較定理 / 測地線 / 時間大域解 / 臨界指数 / 消散項を有する波動方程式 / 準楕円性 / Toponogovの比較定理 / 最小跡 / 吊り下げられた紐の方程式 / 境界変動問題 / 奇関数問題 / 消散型波動方程式 / cusp / Diophantine approximation / Klein-Gordon equation / 吊り下げられた弦の方程式 / Bassel 関数 / 球対称領域 / 連分数 / Suspended String / Diophantine Condition / 自由振動 / Schauderの不動点定理 / 重みをもつSobolev型空間 / 重い振動弦の方程式 / Diophantine不等式 / カスプ / Klein-Gordon方程式 / 非線形波動方程式 / linear wave equation / time-quasiperiodic noncylindrical domain / time-periodic noncylindrical domain / 球対称ラプラシアン / 一次元力学系 / ベッセル関数の零点 / ディオファントス不等式 / 時間周期解 / 境界値問題 / 弱Poincare条件 / Siegel条件 / Diophantine条件 / 吊り下げられた弦 / 線形波動方程式 / 非線型波動方程式 / 時間準周期的非柱状領域 / 時間周期的非柱状領域 / classical solutions / local energy dacay / dissipative term / wave equations / exterior domains / 局所エネルギー / エネルギー減衰 / 古典解 / 局所エネルギー減衰 / エネルギー非減衰 / 摩擦項 / 外部領域 / rotation number / reduction theorem / periodic boundary condition / noncylindrical domain / wave equation / Vibration of string / 準同期解 / 弦の挙動 / 円形膜の振動 / リサージュ境界条件 / ディオフォントス不等式 / 周期境界条件 / 非柱状領域 / Lissajous boundary condition / one-dimensional wave equation / Lefschetz condition / general element / Artinian Gorenstein algebra / Artinian complete intersection / 生成系 / Hessian / Catalecticant / Hard Lefschetz / ゴレンスタイン環 / アルチン環 / 可換代数 / Denjoy-Herman-Yoccoz理論 / 周期的に動く境界条件 / 1次元波動方程式 / O次元ゴレンスタイン環 / O次元完全交差環 / Lissajuus境界条件 / レフシェツ条件 / 一般元 / 0次元ゴレンスタイン環 / 0次元完全交差環 / 非線形シュレ-ディンガー / 半線型熱方程式 / 非線形シュレディンガー / 半線形熱方程式 / 木田公式 / 岩澤不変量 / 相対類数 / 総実代数体 / CM-体 Less

Study of asymptotic behaviors to wave equations
- Principal Investigator
  
  NARAZAKI Takashi, 松山登喜夫
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tokai University
The global behavior of solutions of evolution equations in noncylindrical domain with time-moving boundaries
- Principal Investigator
  
  YAMAGUCHI Masaru
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tokai University
Research on the Behavior of Solutions Evolution Equations in Time-Almost Periodic Noncylindrical Domains
- Principal Investigator
  
  YAMAGUCHI Masaru
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  TOKAI UNIVERSITY
Asymptotic behavior of solutions for wave equations in exterior domains
- Principal Investigator
  
  MATSUYAMA Tokio
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  TOKAI UNIVERSITY
Behavior of solutions of IBVP witrh periodically moving boundary conditions of evolution equations
- Principal Investigator
  
  YAMAGUCHI Masaru
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokai University
数理物理に現れる偏微分方程式の解の形の研究
- Principal Investigator
  
  伊藤達夫
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokai University
岩澤理論に関連した代数体の研究
- Principal Investigator
  
  堀江邦明
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokai University
数理物理に現れる偏微分方程式の解の形の研究
- Principal Investigator
  
  ITOH Tatuo
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokai University
Commutative Artinian Algebras
- Principal Investigator
  
  YAMAGUCHI Masaru, WATANABE Junzo
- Project Period (FY)
  1994 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokai University

All 2006

All Journal Article

[Journal Article] Hypoellipticity of a second order operator with a principal symbol changing sign across a smooth hypersurface2006
- Author(s)
  赤松豊博
- Journal Title
  
  Journal of the Mathematical Society of Japan 58・4
  
  Pages: 1037-1077
- NAID
  10018380803
- Data Source
  KAKENHI-PROJECT-16540205
[Journal Article] Hypoellipticity of a second order operator with a principal symbol changing sign across a smooth hypersurface2006
- Author(s)
  T, Akamatsu
- Journal Title
  
  J. Math. Soc. Japan 58-4
  
  Pages: 1037-1077
- NAID
  10018380803
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540205
[Journal Article] Hypoellipticity of a second order operator with a principal symbol changing sign across a smooth hypersurface2006
- Author(s)
  T.Akamatsu
- Journal Title
  
  J.Math.Soc.Japan 58
  
  Pages: 1037-1077
- NAID
  10018380803
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16540205

1. YAMAGUCHI Masaru (10056252)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
2. TANAKA Minoru (10112773)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
3. ITOH Tatuo (20151516)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
4. NARAZAKI Takashi (70119692)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
5. MATSUYAMA Tokio (70249712)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
6. SUGITA Kimio (60056083)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. WATANABE Junzo (40022727)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. 堀江邦明 (20201759)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. 氏家勝巳 (50055852)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. 土井誠 (20049729)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. 吉田節三 (60055770)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. IZUMISAWA Masataka (50108445)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. WATANABE Keiichi (10087083)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

AKAMATSU Toyohiro 赤松 豊博

赤松 豊博 アカマツ トヨヒロ

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[Journal Article] Hypoellipticity of a second order operator with a principal symbol changing sign across a smooth hypersurface2006

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[Journal Article] Hypoellipticity of a second order operator with a principal symbol changing sign across a smooth hypersurface2006

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[Journal Article] Hypoellipticity of a second order operator with a principal symbol changing sign across a smooth hypersurface2006

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Description

Data Source

AKAMATSU Toyohiro 赤松豊博

赤松豊博アカマツトヨヒロ