Kumagai Taiga

クマガイタイガ | Kumagai Taiga

Affiliation and department：
Job title： Lecturer
Homepage URL (1)： https://sites.google.com/view/taiga-kumagai-jp

Research field (1)： Mathematical analysis

Research keywords (4)： Partial Differential Equations , theory of viscosity solutions , Hamilton-Jacobi equations , Optimal Control

Research theme for competitive and other funds (4)：

2022 - 2023 グラフ上の完全非線形微分方程式と漸近問題
2020 - 2023 Advancement in viscosity solution theory: asymptotic and boundary value problems
2018 - 2019 ハミルトンベクトル場で決まる大きな移流項を持つ非線形偏微分方程式に対する漸近問題
2017 - 2018 退化楕円型方程式に対する領域退化を伴う特異摂動問題の研究

Papers (4)：

Hitoshi Ishii, Taiga Kumagai. Nonlinear Neumann problems for fully nonlinear elliptic PDEs on a quadrant. SIAM Journal on Mathematical Analysis. 2022. 54. 6. 5854-5887
Hitoshi Ishii, Taiga Kumagai. Averaging of Hamilton-Jacobi equations along divergence-free vector fields. Discrete and Continuous Dynamical Systems-Series A. 2021. 41. 4. 1519-1542
Taiga Kumagai. An asymptotic analysis for Hamilton-Jacobi equations with large Hamiltonian drift terms. Advances in Calculus of Variations. 2021. 14. 1. 63-81
Taiga Kumagai. A perturbation problem involving singular perturbations of domains for Hamilton-Jacobi equations. Funkcialaj Ekvacioj. 2018. 61. 3. 377-427

MISC (1)：

Lectures and oral presentations (25)：

角のある領域上における完全非線形楕円型方程式の非線形ノイマン境界値問題について
(第4回大同大学若手微分方程式セミナー 2023)
Averaging of Hamilton-Jacobi equations over Hamiltonian flows
(2021)
An averaging result for a class of Hamilton-Jacobi equaitons
(京都大学NLPDEセミナー 2020)
ある漸近問題に対する粘性解について
(日本橋確率論セミナー 2019)
Asymptotics of solutions to some non-convex Hamilton-Jacobi equations with large Hamiltonian drift terms
(New trends in Hamilton-Jacobi: PDE, Control, Dynamical Systems and Geometry 2019)

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Education (2)：

2013 - 2018 Waseda University Graduate School of Fundamental Science and Engineering
2009 - 2013 Waseda University School of Education

Professional career (1)：

Work history (7)：

2022/10 - 現在 National Institute of Technology (KOSEN), Maizuru College Natural Science Lecturer
2020/04 - 2022/09 Maizuru National College of Technology Natural Science Assistant Professor
2019/12 - 2020/03 Kogakuin University Academic Support Center Lecturer
2019/04 - 2020/03 Hitotsubashi University Mori Arinori Center for Higher Education and Global Mobility
2018/06 - 2020/03 Tokyo Institute of Technology School of Science Research Fellow

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Association Membership(s) (1)：

THE MATHEMATICAL SOCIETY OF JAPAN

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