Rchr
J-GLOBAL ID:201501030922652084
Update date: Jan. 06, 2025 Miyamoto Yasuhito
ミヤモト ヤスヒト | Miyamoto Yasuhito
Affiliation and department: Homepage URL (1): https://kaken.nii.ac.jp/d/r/90374743.ja.html Research field (2):
Mathematical analysis
, Basic analysis
Research keywords (30):
楕円型方程式
, 大域的分岐構造
, 放物型方程式
, 分岐理論
, 非線形楕円型方程式
, 第2固有値
, ホットスポット予想
, 放物型方程式系
, Gierer-Meinhardt系
, 非線形現象
, 大域的な分岐解の枝
, 非線形解析
, Chafee-Infante型問題
, フェーズフィールドモデル
, 優臨界
, ノイマン問題
, 対称性破壊分岐
, 動的パターン
, 関数方程式
, グリーン関数
, 解析学
, 半小摂動
, 局在パターン
, 非局所効果
, 保存性のある反応拡散系
, 超伝導の数理モデル
, 退化分岐点
, 解の安定性
, 熱核
, 線形化固有値問題
Research theme for competitive and other funds (13): - 2024 - 2029 楕円型方程式の精密解析と定性理論の新展開
- 2019 - 2024 Systematical geometric analysis and asymptotic analysis for evolution equations
- 2019 - 2024 優臨界・臨界・劣臨界楕円型方程式の解構造の総合的研究
- 2016 - 2020 Studies on the qualitative theory and singularities of nonlinear partial differential equations
- 2016 - 2019 The pursuit of new phenomena and methods for supercritical elliptic PDEs
- 2015 - 2019 Global / Geometric structure of solutions to elliptic PDE's via higher-order information of associated variational functionals
- 2014 - 2018 Geometry of solutions of partial differential equations and the inverse problems accompanied by it
- 2018 - 2018 Qualitative study on model equations arising in mathematical biology from a viewpoint of the bifurcation theory
- 2012 - 2015 Solution structures of nonlinear elliptic PDEs and new perspective of qualitative theory
- 2010 - 2014 Mathematical studies for nonlocal effect on emergence of localized patterns in dissipative systems and applications
- 2009 - 2011 Study on the structure of nonnegative solutions for parabolic equations and the perturbation theory of elliptic operators
- 2009 - 2011 Study on stationary patterns and dynamics of parabolic partial differential equations arising in chemistry and biology
- 2007 - 2008 物理・化学・生物学に現れるモデル方程式の無限次元力学系の視点による解析
Show all
Papers (57): -
Mostafa Fazly, Yasuhito Miyamoto. Exact solutions and classification of linearized eigenvalue problems for one-dimensional Gross-Pitaevskii system. Journal of Mathematical Physics. 2025
-
Yasuhito Miyamoto, Hayato Nakamura, Keisuke Nishigaki. Exact periods and exact critical values for Hopf bifurcations from multi-peak solutions of the shadow Gierer-Meinhardt model in one spatial dimension. Journal of Differential Equations. 2024. 413. 34-69
-
Yasuhito Miyamoto, Kimie Nakashima. Asymptotic formula for the Morse index of radial solutions on expanding annuli: Allen-Cahn equation and scalar filed equation. Calculus of Variations and Partial Differential Equations. 2024. 64. 1
-
Marius Ghergu, Yasuhito Miyamoto. The Gel’fand Problem on Expanding Tubular Domains in $$\mathbb {R}^2$$: Existence and the Morse Index of Solutions. The Journal of Geometric Analysis. 2024. 35. 1
-
Yasuhito Miyamoto, Yūki Naito. A bifurcation diagram of solutions to semilinear elliptic equations with general supercritical growth. Journal of Differential Equations. 2024. 406. 318-337
more... MISC (12): -
宮本 安人. Exact Morse index of radial solutions for semilinear elliptic equations with critical exponent on annuli-常微分方程式の定性的理論とその現象解析への応用. 数理解析研究所講究録. 2023. 2244. 11-20
-
宮本 安人. 優臨界楕円型方程式の球対称解の構造-偏微分方程式の解の幾何的様相. 数理解析研究所講究録. 2022. 2212. 2212. 54-68
-
Miyamoto Yasuhito, Naito Yuki. Structure of positive solutions for semilinear elliptic equations with supercritical growth (Shapes and other properties of the solutions of PDEs). 2016. 2006. 20-29
-
Miyamoto Yasuhito. TOWARD THE CLASSIFICATION OF THE STRUCTURE OF THE POSITIVE SOLUTIONS FOR SUPERCRITICAL ELLIPTIC EQUATIONS IN A BALL (Regularity and Singularity for Geometric Partial Differential Equations and Conservation Laws). RIMS Kokyuroku. 2015. 1969. 1969. 12-20
-
Miyamoto Yasuhito. STRUCTURE OF THE POSITIVE RADIAL SOLUTIONS FOR A SUPERCRITICAL NEUMANN PROBLEM IN A BALL (Progress in Qualitative Theory of Ordinary Differential Equations). RIMS Kokyuroku. 2014. 1901. 1901. 92-98
more... Books (3): - 数学の現在
東京大学出版会 2016 ISBN:9784130653114
- 偏微分方程式の解の形状と諸性質
京都大学数理解析研究所 2015
- On connecting orbits of semilinear parabolic equations on S[1] = S[1]上の半線形放物型方程式のヘテロクリニック軌道について
東京大学数理科学研究科 2004
Professional career (1): Work history (7): - 2022/04 - 現在 The University of Tokyo Graduate School of Mathematical Sciences Professor
- 2013/04 - 2022/03 The University of Tokyo Graduate School of Mathematical Sciences
- 2012/04 - 2013/03 Keio University Faculty of Science and Technology
- 2007/11 - 2012/03 Tokyo Institute of Technology Graduate School of Science and Engineering
- 2007/04 - 2007/10 日本学術振興会 特別研究員PD
- 2006/04 - 2007/03 Kyoto University Research Institute for Mathematical Sciences
- 2004/04 - 2006/03 Hokkaido University
Show all
Association Membership(s) (2): Return to Previous Page