Taiga Kumagai / 熊谷大雅

(with I. Watanabe)
Markov Chain Approximation for Hamilton-Jacobi-Bellman Equation with Reflecting Boundary,
Submitted for publication, 2025.

published (peer-reviewed):

(with H. Ishii)
Nonlinear Neumann problems for fully nonlinear elliptic PDEs on a quadrant,
SIAM J. Math. Anal. 54 (2022), no. 6, 5854--5887,
Article link, arXiv:2108.13107.

(with H. Ishii)
Averaging of Hamilton-Jacobi equations along divergence-free vector fields,
Discrete Conti. Dyn. Sys. Ser. A. 41 (2021), no. 4, 1519--1542,
Article link, arXiv:1912:09153.

An asymptotic analysis for Hamilton-Jacobi equations with large Hamiltonian drift terms,
Adv. Calc. Var. 14 (2021), no. 1, 63--81,
Article link, arXiv:1705:01933.

A perturbation problem involving singular perturbations of domains for Hamilton-Jacobi equations,
Funkcial. Ekvac 61 (2018), no. 3, 377--427,
Article link, arXiv:1607.02224.

2023

[招待] 角のある領域上における完全非線形楕円型方程式に対する非線形ノイマン境界値問題について,
第4回大学若手微分方程式セミナー, 大同大学, 8月30日（口頭）

2021

[招待] Averaging of Hamilton-Jacobi equations over Hamiltonian flows,
高専間ネットワークによる微分方程式研究会, オンライン, 3月23日（口頭）

2020

[招待] Averaging of Hamilton-Jacobi equations with large Hamiltonian drift terms,
Elliptic and Parabolic Zoom Seminar, オンライン, 11月14日（口頭）

[招待] An averaging result for a class of Hamilton-Jacobi equations
京都大学NLPDEセミナー, オンライン, 7月3日（口頭）

2019

[Invited] 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, Fudan University, China, July 5（oral）

[Invited] On some singular perturbation problem for nonconvex Hamilton-Jacobi equations,
VI° Italian-Japanese Workshop "Geometric properties for parabolic and elliptic PDEs, Palazzone di Cortona, Italy, May 21（oral）

[招待] On some nonconvex Hamilton-Jacobi equations with large Hamiltonian drift terms,
偏微分方程式の最大値原理とその周辺3, 北海道大学, 3月4日（口頭）

[Invited] An asymptotic analysis for some nonconvex Hamilton-Jacobi equations,
Conference on PDEs, Dynamical Systems and Probability, Tsuda University, Japan, Feb. 21（oral）

[Invited] Some convergence result for nonconvex Hamilton-Jacobi equations and ode systems on graphs,
The 20th Northeastern Symposium on Mathematical Analysis, Tohoku University, Japan, Feb. 19（oral）

2018

ハミルトン系の最適制御から現れるハミルトン・ヤコビ方程式の解の漸近挙動について,
数学・数理科学専攻若手研究者のための異分野・異業種研究交流会2018, 明治大学, 11月17日（ポスター）

[Invited] Hamilton-Jacobi equations with large Hamiltonian drift terms,
The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, National Taiwan University, Taiwan, July 5（oral）

[招待] ハミルトンベクトル場で決まる大きな移流項を持つハミルトン・ヤコビ方程式の解の漸近挙動について,
第56回東工大数理解析セミナー, 東京工業大学, 7月22日（口頭）

2017

Asymptotics of the solutions of Hamilton-Jacobi equations with large drift term,
日本数学会2017年度秋季総合分科会, 山形大学, 9月13日（口頭）

[Invited] Hamilton-Jacobi equations with large drift term and ode systems on graphs,
Viscosity solution approach to asymptotic problems in front propagation, dynamical system and related topics, RIMS, Kyoto University, Japan, July 3（oral）

[Invited] A class of Hamilton-Jacobi equations and ode systems on graphs,
The 14-th Japanese-German International Workshop on Mathematical Fluid Dynamics, Waseda University, Japan, Mar. 10（oral）

2016

[Invited] A perturbation problem involving singular perturbations of domains for Hamilton-Jacobi equations,
IRGT Seminar, Technische Universität Darmstadt, Germany, Dec. 8（oral）
[Invited] A perturbation problem involving singular perturbations of domains for Hamilton-Jacobi equations,
The 13-th Japanese-German International Workshop on Mathematical Fluid Dynamics, Technische Universität Darmstadt, Germany, Nov. 30（oral）
[Invited] A perturbation problem involving singular perturbations of domains for Hamilton-Jacobi equations,
Workshop on Hamilton-Jacobi equations, Fudan University, China, July 28（oral）
A perturbation problem involving singular perturbations of domains for Hamilton-Jacobi equations,
HJ2016: Hamilton-Jacobi Equations: new trends and applications, poster, INSA Rennes, France, May 31（poster）

2015

[Invited] A perturbation problem involving singular perturbations of domains for Hamilton-Jacobi equations,
Asymptotic Problems for Partial Differential Equations and Viscosity Solutions, RIMS, Kyoto University, Japan, Dec. 2（oral）

領域退化を伴うHamilton-Jacobi方程式に対する特異摂動問題,
第37回発展方程式若手セミナー, 小樽朝里クラッセホテル, 北海道, 8月24日（口頭）

[Invited] A perturbation problem involving singular perturbations of domains for Hamilton-Jacobi equations,
Summer School on multiscale and geometric analysis, Hokkaido University, July 29（oral）

2014

Title:
[English] A study of Hamilton-Jacobi equations with large Hamiltonian drift terms
[Japanese] ハミルトンベクトル場で決まる大きな移流項を持つハミルトン・ヤコビ方程式の研究