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J-GLOBAL ID:201501030922652084   Update date: Jan. 06, 2025

Miyamoto Yasuhito

ミヤモト ヤスヒト | Miyamoto Yasuhito
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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
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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
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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):
  • 数理科学 (東京大学大学院数理科学研究科)
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
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Association Membership(s) (2):
日本応用数理学会 ,  日本数学会
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