Cavallina Lorenzo ＣａｖａｌｌｉｎａＬｏｒｅｎｚｏ

Researcher Number	40881264
Affiliation (Current)	2025: 東北大学, 理学研究科, 助教
Affiliation (based on the past Project Information) *help	2020 – 2024: 東北大学, 理学研究科, 助教
Review Section/Research Field	Principal Investigator Transformative Research Areas, Section (II) / Basic Section 12020:Mathematical analysis-related / 0201:Algebra, geometry, analysis, applied mathematics,and related fields Except Principal Investigator Medium-sized Section 12:Analysis, applied mathematics, and related fields
Keywords	Principal Investigator 分岐解析 / 形状最適化問題 / 形状微分 / 二相 / 二相問題 / 形状間関数 / 陰関数定理 / 対称性 / 楕円型偏微分方程式 / 優決定問題 … More / 分岐理論 / 摂動論 / 勾配流 / 形状汎関数 / 自由境界問題 / 過剰決定問題 / 複合媒質 … More Except Principal Investigator 関数解析 / 発展方程式 / 定量的解析 / 漸近挙動 / 非線形拡散方程式 Less

The study of "Shape" and "Motion" by means of shape functionalsPrincipal Investigator
- Principal Investigator
  
  Cavallina Lorenzo
- Project Period (FY)
  2023 – 2024
- Research Category
  
  Grant-in-Aid for Transformative Research Areas (A)
- Review Section
  
  Transformative Research Areas, Section (II)
- Research Institution
  Tohoku University
On an overdetermined problem for composite materialsPrincipal Investigator
- Principal Investigator
  
  Cavallina Lorenzo
- Project Period (FY)
  2022 – 2025
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tohoku University
Quantitative analysis for nonlinear evolution equations of diffusion type
- Principal Investigator
  
  赤木剛朗
- Project Period (FY)
  2021 – 2026
- Research Category
  
  Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Tohoku University
Analysis of a two-phase overdetermined problem of Serrin type: from local to globalPrincipal Investigator
- Principal Investigator
  
  Cavallina Lorenzo
- Project Period (FY)
  2020 – 2022
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Review Section
  
  0201:Algebra, geometry, analysis, applied mathematics,and related fields
- Research Institution
  Tohoku University

All 2024 2023 2022 2021 2020

All Journal Article Presentation

[Journal Article] Pythagorean Theorem, Law of Sines and Law of Cosines: alternative proofs via shape derivatives2024
- Author(s)
  Cavallina Lorenzo
- Journal Title
  
  Mathematics Magazine (to appear)
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K13935
[Journal Article] Symmetry and asymmetry in a multi-phase overdetermined problem2024
- Author(s)
  Cavallina Lorenzo
- Journal Title
  
  Interfaces and Free Boundaries (to appear)
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PUBLICLY-23H04459
[Journal Article] Symmetry and asymmetry in a multi-phase overdetermined problem2024
- Author(s)
  Cavallina Lorenzo
- Journal Title
  
  Interfaces and Free Boundaries (to appear)
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K13935
[Journal Article] Nondegeneracy implies the existence of parametrized families of free boundaries2024
- Author(s)
  Cavallina Lorenzo
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 383 Pages: 1-23
- DOI
  10.1016/j.jde.2023.11.011
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K13935, KAKENHI-PROJECT-21KK0044, KAKENHI-PUBLICLY-23H04459
[Journal Article] Pythagorean Theorem, Law of Sines and Law of Cosines: alternative proofs via shape derivatives2024
- Author(s)
  Cavallina Lorenzo
- Journal Title
  
  Mathematics Magazine (to appear)
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PUBLICLY-23H04459
[Journal Article] Why are the Solutions to Overdetermined Problems Usually “As Symmetric as Possible”?2023
- Author(s)
  Cavallina Lorenzo
- Journal Title
  
  The Journal of Geometric Analysis
  
  Volume: 34 Issue: 1 Pages: 1-22
- DOI
  10.1007/s12220-023-01467-8
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K13935, KAKENHI-PROJECT-21KK0044, KAKENHI-PUBLICLY-23H04459
[Journal Article] Symmetry Breaking Solutions for a Two-Phase Overdetermined Problem of Serrin-Type2022
- Author(s)
  Cavallina Lorenzo、Yachimura Toshiaki
- Journal Title
  
  Current Trends in Analysis, its Applications and Computation Proceedings of the 12th ISAAC Congress, Aveiro, Portugal, 2019
  
  Volume: - Pages: 433-441
- DOI
  10.1007/978-3-030-87502-2_44
- ISBN
  9783030875015, 9783030875022
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K13935, KAKENHI-PROJECT-20K22298
[Journal Article] Quantitative stability estimates for a two-phase Serrin-type overdetermined problem2022
- Author(s)
  Lorenzo Cavallina, Giorgio Poggesi, Toshiaki Yachimura
- Journal Title
  
  Nonlinear Analysis
  
  Volume: 222 Pages: 112919-112919
- DOI
  10.1016/j.na.2022.112919
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13822, KAKENHI-PROJECT-22K13935, KAKENHI-PROJECT-20K22298
[Journal Article] Local analysis of a two phase free boundary problem concerning mean curvature2022
- Author(s)
  Cavallina Lorenzo
- Journal Title
  
  Indiana University Mathematics Journal
  
  Volume: 71 Issue: 4 Pages: 1411-1435
- DOI
  10.1512/iumj.2022.71.9014
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K13935, KAKENHI-PROJECT-21KK0044, KAKENHI-PROJECT-20K22298
[Journal Article] Quantitative stability estimates for a two-phase Serrin-type overdetermined problem2022
- Author(s)
  Cavallina, G. Poggesi, T. Yachimura
- Journal Title
  
  Nonlinear Analysis
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21KK0044
[Journal Article] The simultaneous asymmetric perturbation method for overdetermined free boundary problems2022
- Author(s)
  Cavallina Lorenzo
- Journal Title
  
  Nonlinear Analysis
  
  Volume: 215 Pages: 112685-112685
- DOI
  10.1016/j.na.2021.112685
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K22298, KAKENHI-PROJECT-21KK0044
[Journal Article] On an overdetermined problem for composite materials2021
- Author(s)
  Cavallina Lorenzo
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: －
- NAID
  120007166019
- Data Source
  KAKENHI-PROJECT-20K22298
[Journal Article] Local analysis of a two phase free boundary problem concerning mean curvature2020
- Author(s)
  Cavallina Lorenzo
- Journal Title
  
  Indiana University Mathematics Journal
  
  Volume: －
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K22298
[Journal Article] The Double Queen Dido’s Problem2020
- Author(s)
  Cavallina Lorenzo、Henrot Antoine、Sakaguchi Shigeru
- Journal Title
  
  The Journal of Geometric Analysis
  
  Volume: － Issue: 8 Pages: 7750-7772
- DOI
  10.1007/s12220-020-00549-1
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K22298, KAKENHI-PROJECT-18H01126
[Journal Article] Spontaneous symmetry breaking for a two-phase overdetermined problem of Serrin-type2020
- Author(s)
  Cavallina Lorenzo, Yachimura Toshiaki
- Journal Title
  
  計算工学講演会論文集 Proceedings of the Conference on Computational Engineering and Science
  
  Volume: 25
- NAID
  40022265817
- Data Source
  KAKENHI-PROJECT-20K22298
[Presentation] A characterization of radial symmetry for composite media by overdetermined level sets2024
- Author(s)
  Cavallina Lorenzo
- Organizer
  UWA Analysis Seminar, 西オーストラリア大学 (Perth)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13935
[Presentation] A characterization of radial symmetry for composite media by overdetermined level sets2024
- Author(s)
  Cavallina Lorenzo
- Organizer
  UWA Analysis Seminar, 西オーストラリア大学 (Perth)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PUBLICLY-23H04459
[Presentation] A characterization of radial symmetry for composite media by overdetermined level sets2024
- Author(s)
  Cavallina Lorenzo
- Organizer
  Geometric PDE and Applied Analysis Seminar, 沖縄科学技術大学院大学 (OIST)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13935
[Presentation] How much overdetermination is enough to get symmetry in two-phase problems2024
- Author(s)
  Cavallina Lorenzo
- Organizer
  2024 Japan-Korea Workshop on Nonlinear PDEs and Its Applications, 広島大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13935
[Presentation] How much overdetermination is enough to get symmetry in two-phase problems2024
- Author(s)
  Cavallina Lorenzo
- Organizer
  2024 Japan-Korea Workshop on Nonlinear PDEs and Its Applications, 広島大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PUBLICLY-23H04459
[Presentation] How to characterize radial symmetry in two-phase conductors by overdetermined conditions on the level sets of the torsion function2024
- Author(s)
  Cavallina Lorenzo
- Organizer
  Mt. Aoba Analysis and Geometry miniworkshop, 東北大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PUBLICLY-23H04459
[Presentation] A characterization of radial symmetry for composite media by overdetermined level sets2024
- Author(s)
  Cavallina Lorenzo
- Organizer
  Geometric PDE and Applied Analysis Seminar, 沖縄科学技術大学院大学 (OIST)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PUBLICLY-23H04459
[Presentation] How to characterize radial symmetry in two-phase conductors by overdetermined conditions on the level sets of the torsion function2024
- Author(s)
  Cavallina Lorenzo
- Organizer
  Mt. Aoba Analysis and Geometry miniworkshop, 東北大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13935
[Presentation] 等位集合における優決定条件を用いた複合媒質の球対称性の特徴づけ2024
- Author(s)
  Cavallina Lorenzo
- Organizer
  関西大学確率論研究会 2024, 関西大学
- Invited
- Data Source
  KAKENHI-PROJECT-22K13935
[Presentation] 等位集合における優決定条件を用いた複合媒質の球対称性の特徴づけ2024
- Author(s)
  Cavallina Lorenzo
- Organizer
  関西大学確率論研究会 2024, 関西大学
- Invited
- Data Source
  KAKENHI-PUBLICLY-23H04459
[Presentation] On symmetry and asymmetry in a multi-phase overdetermined problem2023
- Author(s)
  Cavallina Lorenzo
- Organizer
  京都大学 NLPDE セミナー, 京都大学
- Invited
- Data Source
  KAKENHI-PUBLICLY-23H04459
[Presentation] 多相優決定問題における対称性と非対称性について2023
- Author(s)
  Cavallina Lorenzo
- Organizer
  談話会, 東北大学
- Invited
- Data Source
  KAKENHI-PROJECT-22K13935
[Presentation] On symmetry and asymmetry in a multi-phase overdetermined problem2023
- Author(s)
  Cavallina Lorenzo
- Organizer
  京都大学 NLPDE セミナー, 京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-22K13935
[Presentation] Face 2-phase: how much overdetermination is enough to get symmetry in multi-phase problems2023
- Author(s)
  Cavallina Lorenzo
- Organizer
  1 day workshop, 慶応大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PUBLICLY-23H04459
[Presentation] Symmetry and asymmetry in a multiphase overdetermined problem2023
- Author(s)
  Cavallina Lorenzo
- Organizer
  RIMS 合宿型セミナー “Homogenization and/or nonlocal operators”, Hakobune Niseko
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PUBLICLY-23H04459
[Presentation] On an overdetermined problem in a composite medium2023
- Author(s)
  Cavallina Lorenzo
- Organizer
  研究集会「7th camp Homogenization and its related topics」東北大学
- Invited
- Data Source
  KAKENHI-PROJECT-22K13935
[Presentation] Symmetry and asymmetry in a multiphase overdetermined problem2023
- Author(s)
  Cavallina Lorenzo
- Organizer
  RIMS 合宿型セミナー “Homogenization and/or nonlocal operators”, Hakobune Niseko
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13935
[Presentation] 多相優決定問題における対称性と非対称性について2023
- Author(s)
  Cavallina Lorenzo
- Organizer
  談話会, 東北大学
- Invited
- Data Source
  KAKENHI-PUBLICLY-23H04459
[Presentation] On an overdetermined problem of Serrin-type in a two-phase composite medium with imperfect interfaces2023
- Author(s)
  Cavallina Lorenzo
- Organizer
  京都大学応用数理解析セミナーKUAMS (AIMR 数学連携グループセミナーと合同で開催), 京都大学(オンライン開催)
- Invited
- Data Source
  KAKENHI-PROJECT-22K13935
[Presentation] On an overdetermined problem of Serrin-type in a two-phase composite medium with imperfect interfaces2023
- Author(s)
  Cavallina Lorenzo
- Organizer
  京都大学応用数理解析セミナーKUAMS (AIMR 数学連携グループセミナーと合同で開催), 京都大学(オンライン開催)
- Invited
- Data Source
  KAKENHI-PROJECT-20K22298
[Presentation] Face 2-phase: how much overdetermination is enough to get symmetry in multi-phase problems2023
- Author(s)
  Cavallina Lorenzo
- Organizer
  1 day workshop, 慶応大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13935
[Presentation] On an overdetermined problem in a composite medium2023
- Author(s)
  Cavallina Lorenzo
- Organizer
  研究集会「7th camp Homogenization and its related topics」東北大学
- Invited
- Data Source
  KAKENHI-PROJECT-20K22298
[Presentation] 複合媒質における過剰決定問題の解の族について2022
- Author(s)
  Cavallina Lorenzo
- Organizer
  Saga Workshop on Partial Differential Equations
- Invited
- Data Source
  KAKENHI-PROJECT-20K22298
[Presentation] 不完全界面を有する二相複合媒質における優決定問題について2022
- Author(s)
  Cavallina Lorenzo
- Organizer
  研究集会「微分方程式の総合的研究」, 京都大学(オンライン開催)
- Invited
- Data Source
  KAKENHI-PROJECT-20K22298
[Presentation] 形状汎関数の非退化な臨界点における対称性と非対称性について2022
- Author(s)
  Cavallina Lorenzo
- Organizer
  応用解析研究会, 早稲田大学
- Invited
- Data Source
  KAKENHI-PROJECT-20K22298
[Presentation] 形状汎関数の非退化な臨界点における対称性と非対称性について2022
- Author(s)
  Cavallina Lorenzo
- Organizer
  応用解析研究会, 早稲田大学
- Invited
- Data Source
  KAKENHI-PROJECT-22K13935
[Presentation] 不完全界面を有する二相複合媒質における優決定問題について2022
- Author(s)
  Cavallina Lorenzo
- Organizer
  研究集会「微分方程式の総合的研究」, 京都大学(オンライン開催)
- Invited
- Data Source
  KAKENHI-PROJECT-22K13935
[Presentation] 複合媒質における過剰決定問題の解の族について2022
- Author(s)
  Cavallina Lorenzo
- Organizer
  Saga Workshop on Partial Differential Equations
- Invited
- Data Source
  KAKENHI-PROJECT-21KK0044
[Presentation] On an overdetermined problem for composite materials2021
- Author(s)
  Cavallina Lorenzo
- Organizer
  RIMS Workshop on Recent developments on inverse problems for partial differential equations and their applications, 京都大学(Zoom)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K22298
[Presentation] A two-phase free boundary problem concerning mean curvature2021
- Author(s)
  Cavallina Lorenzo
- Organizer
  若手研究集会「波動・振動・流れの制御と逆問題-理論と数値計算-」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K22298
[Presentation] 優決定問題におけるパラメータ付けされた解の族の構成2021
- Author(s)
  Cavallina Lorenzo
- Organizer
  広島微分方程式研究会
- Invited
- Data Source
  KAKENHI-PROJECT-20K22298
[Presentation] 優決定問題におけるパラメータ付けされた解の族の構成2021
- Author(s)
  Cavallina Lorenzo
- Organizer
  広島微分方程式研究会
- Invited
- Data Source
  KAKENHI-PROJECT-21KK0044
[Presentation] On two different two-phase overdetermined problems2020
- Author(s)
  Cavallina Lorenzo
- Organizer
  福岡大学解析セミナー, 福岡大学(Zoom)
- Invited
- Data Source
  KAKENHI-PROJECT-20K22298
[Presentation] 優決定問題における同時非対称摂動法2020
- Author(s)
  Cavallina Lorenzo
- Organizer
  応用数理解析セミナー, 東北大学
- Data Source
  KAKENHI-PROJECT-20K22298
[Presentation] Bifurcation analysis for a two-phase overdetermined problem of Serrin type2020
- Author(s)
  Cavallina Lorenzo, Yachimura Toshiaki
- Organizer
  日本応用数理学会2020 年年会D[研究部会OS] 数理設計(Zoom)
- Data Source
  KAKENHI-PROJECT-20K22298
[Presentation] Local behavior near the trivial solutions of some two-phase elliptic overdetermined problems2020
- Author(s)
  Cavallina Lorenzo
- Organizer
  UWA Zoom Analysis Seminar, 西オーストラリア大学(Zoom)
- Invited
- Data Source
  KAKENHI-PROJECT-20K22298

1. 赤木剛朗 (60360202)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
2. 中村健一 (40293120)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. 松澤寛 (80413780)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. 村川秀樹 (40432116)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 兼子裕大 (40773916)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 佐藤龍一 (20802599)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 谷地村敏明

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Cavallina Lorenzo Ｃａｖａｌｌｉｎａ Ｌｏｒｅｎｚｏ

Research Projects

Research Products

Co-Researchers

The study of "Shape" and "Motion" by means of shape functionalsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

On an overdetermined problem for composite materialsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Quantitative analysis for nonlinear evolution equations of diffusion type

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Analysis of a two-phase overdetermined problem of Serrin type: from local to globalPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Pythagorean Theorem, Law of Sines and Law of Cosines: alternative proofs via shape derivatives2024

Author(s)

Journal Title

Data Source

[Journal Article] Symmetry and asymmetry in a multi-phase overdetermined problem2024

Author(s)

Journal Title

Data Source

[Journal Article] Symmetry and asymmetry in a multi-phase overdetermined problem2024

Author(s)

Journal Title

Data Source

[Journal Article] Nondegeneracy implies the existence of parametrized families of free boundaries2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Pythagorean Theorem, Law of Sines and Law of Cosines: alternative proofs via shape derivatives2024

Author(s)

Journal Title

Data Source

[Journal Article] Why are the Solutions to Overdetermined Problems Usually “As Symmetric as Possible”?2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Symmetry Breaking Solutions for a Two-Phase Overdetermined Problem of Serrin-Type2022

Author(s)

Journal Title

DOI

ISBN

Data Source

[Journal Article] Quantitative stability estimates for a two-phase Serrin-type overdetermined problem2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Local analysis of a two phase free boundary problem concerning mean curvature2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Quantitative stability estimates for a two-phase Serrin-type overdetermined problem2022

Author(s)

Journal Title

Data Source

[Journal Article] The simultaneous asymmetric perturbation method for overdetermined free boundary problems2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On an overdetermined problem for composite materials2021

Cavallina Lorenzo ＣａｖａｌｌｉｎａＬｏｒｅｎｚｏ