Yasuhito Miyamoto

Profile Information

Affiliation: Graduate School of Mathematical Sciences, The University of Tokyo

Degree: 数理科学(東京大学大学院数理科学研究科)

Researcher number: 90374743
ORCID ID: https://orcid.org/0000-0002-7766-1849
J-GLOBAL ID: 201501030922652084
researchmap Member ID: B000243772

External link: https://kaken.nii.ac.jp/d/r/90374743.ja.html

Research Interests

Research Areas

Research History

Apr, 2022 - Present

Professor, Graduate School of Mathematical Sciences, The University of Tokyo
Apr, 2013 - Mar, 2022

Graduate School of Mathematical Sciences, The University of Tokyo
Apr, 2012 - Mar, 2013

Faculty of Science and Technology, Keio University
Nov, 2007 - Mar, 2012

Graduate School of Science and Engineering, Tokyo Institute of Technology
Apr, 2007 - Oct, 2007

特別研究員PD, 日本学術振興会
Apr, 2006 - Mar, 2007

Research Institute for Mathematical Sciences, Kyoto University
Apr, 2004 - Mar, 2006

Hokkaido University

Papers

Stability and bifurcation diagram for a shadow Gierer–Meinhardt system in one spatial dimension

Yuki Kaneko, Yasuhito Miyamoto, Tohru Wakasa

Nonlinearity, 37(5) 055011-055011, Apr 2, 2024 Peer-reviewed
Exact Morse index of radial solutions for semilinear elliptic equations with critical exponent on annuli

Yasuhito Miyamoto

Mathematische Zeitschrift, 304(4), Jul 24, 2023 Peer-reviewed
Asymptotic formulas of the eigenvalues for the linearization of a one-dimensional sinh-Poisson equation

Shuya Aizawa, Yasuhito Miyamoto, Tohru Wakasa

Journal of Elliptic and Parabolic Equations, 9(2) 1043-1070, Jul 4, 2023 Peer-reviewed
Singular solutions for semilinear elliptic equations with general supercritical growth

Yasuhito Miyamoto, Yūki Naito

Annali di Matematica Pura ed Applicata, 202(1) 341-366, Feb, 2023 Peer-reviewed
Asymptotic formulas of the eigenvalues for the linearization of the scalar field equation

Yasuhito Miyamoto, Haruki Takemura, Tohru Wakasa

Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2023 Peer-reviewed
Solvability for time‐fractional semilinear parabolic equations with singular initial data

Marius Ghergu, Yasuhito Miyamoto, Masamitsu Suzuki

Mathematical Methods in the Applied Sciences, 46(6) 6686-6704, Dec 9, 2022 Peer-reviewed
Radial single point rupture solutions for a general MEMS model

Marius Ghergu, Yasuhito Miyamoto

Calculus of Variations and Partial Differential Equations, 61(2), Apr, 2022 Peer-reviewed
RADIAL REGULAR AND RUPTURE SOLUTIONS FOR A PDE PROBLEM WITH GRADIENT TERM AND TWO PARAMETERS

Marius Ghergu, Yasuhito Miyamoto

Proceedings of the American Mathematical Society, 150(4) 1697-1709, 2022 Peer-reviewed
The compactness of minimizing sequences for a nonlinear Schrödinger system with potentials

Norihisa Ikoma, Yasuhito Miyamoto

Communications in Contemporary Mathematics, 25(02), Dec 17, 2021 Peer-reviewed
Polyharmonic inequalities with nonlocal terms

Marius Ghergu, Yasuhito Miyamoto, Vitaly Moroz

Journal of Differential Equations, 296 799-821, Sep 25, 2021 Peer-reviewed
A doubly critical semilinear heat equation in the L¹ space

Yasuhito Miyamoto

Journal of Evolution Equations, 21(1) 151-166, Mar, 2021 Peer-reviewed
Stability for stationary solutions of a nonlocal Allen-Cahn equation

Yasuhito Miyamoto, Tatsuki Mori, Tohru Tsujikawa, Shoji Yotsutani

Journal of Differential Equations, 275 581-597, Feb 25, 2021 Peer-reviewed
Fractional semilinear heat equations with singular and nondecaying initial data

Théo Giraudon, Yasuhito Miyamoto

Revista Matematica Complutense, 35(2) 415-445, 2021 Peer-reviewed
Intersection properties for singular radial solutions of quasilinear elliptic equations with Hardy type potentials

Koichi Ikeda, Yasuhito Miyamoto, Keisuke Nishigaki

Complex Variables and Elliptic Equations, 67(11) 2795-2808, 2021 Peer-reviewed
Nonlinear Inequalities with Double Riesz Potentials

Marius Ghergu, Zeng Liu, Yasuhito Miyamoto, Vitaly Moroz

Potential Analysis, 59(1) 97-112, 2021 Peer-reviewed
Fundamental properties and asymptotic shapes of the singular and classical radial solutions for supercritical semilinear elliptic equations

Yasuhito Miyamoto, Yuki Naito

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 27(6), Oct, 2020 Peer-reviewed
Stable standing waves of nonlinear Schrodinger equations with potentials and general nonlinearities

Norihisa Ikoma, Yasuhito Miyamoto

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 59(2), Feb, 2020 Peer-reviewed
Weakly coupled reaction-diffusion systems with rapidly growing nonlinearities and singular initial data

Yasuhito Miyamoto, Masamitsu Suzuki

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 189, Dec, 2019 Peer-reviewed
Exact eigenvalues and eigenfunctions for a one-dimensional Gel'fand problem

Yasuhito Miyamoto, Tohru Wakasa

JOURNAL OF MATHEMATICAL PHYSICS, 60(2), Feb, 2019 Peer-reviewed
The Emden-Fowler equation on a spherical cap of S-n

Atsushi Kosaka, Yasuhito Miyamoto

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 178 110-132, Jan, 2019 Peer-reviewed

Misc.

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

宮本安人

数理解析研究所講究録, (2244) 11-20, Feb, 2023
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

宮本安人

数理解析研究所講究録, 2212(2212) 54-68, Feb, 2022
Structure of positive solutions for semilinear elliptic equations with supercritical growth (Shapes and other properties of the solutions of PDEs)

Miyamoto Yasuhito, Naito Yuki

(2006) 20-29, Nov, 2016
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)

Miyamoto Yasuhito

RIMS Kokyuroku, 1969(1969) 12-20, Nov, 2015
STRUCTURE OF THE POSITIVE RADIAL SOLUTIONS FOR A SUPERCRITICAL NEUMANN PROBLEM IN A BALL (Progress in Qualitative Theory of Ordinary Differential Equations)

Miyamoto Yasuhito

RIMS Kokyuroku, 1901(1901) 92-98, Jun, 2014
A PLANAR CONVEX DOMAIN CAN HAVE MANY ISOLATED "HOT SPOTS" ON THE BOUNDARY (Spectral and Scattering Theory and Related Topics)

Miyamoto Yasuhito

RIMS Kokyuroku, 1891(1891) 116-121, Apr, 2014
トクシュウブンルイスル《スウリカガク》 : ナゼワケテカンガエルノカ

ミヤモトヤスヒト

51(10) 21-28, Oct, 2013
ISOLATED "HOT SPOTS" ON THE BOUNDARY OF A PLANAR CONVEX DOMAIN (Geometry of solutions of partial differential equations)

Miyamoto Yasuhito

RIMS Kokyuroku, 1850(1850) 58-65, Sep, 2013
Global branches of solutions to a semilinear elliptic Neumann problem (Problems in the calculus of variations and related topics)

Miyamoto Yasuhito

RIMS Kokyuroku, 1628(1628) 22-27, Feb, 2009
The Nonlinear "Hot Spots" Conjecture and Pattern Formation

Miyamoto Yasuhito

Bulletin of the Japan Society for Industrial and Applied Mathematics, 19(1) 16-27, 2009
Singularities arising in Nonlinear Problems 2007(Conference Report)

Miyamoto Yasuhito

Bulletin of the Japan Society for Industrial and Applied Mathematics, 18(2) 159-160, 2008
On stable patterns for reaction-diffusion equations and systems (Workshops on "Pattern Formation Problems in Dissipative Systems" and "Mathematical Modeling and Analysis for Nonlinear Phenomena")

MIYAMOTO Yasuhito

RIMS Kokyuroku Bessatsu, 3 59-82, Nov, 2007 Peer-reviewed

Books and Other Publications

数学の現在

斎藤, 毅, 河東, 泰之, 小林, 俊行

東京大学出版会, May, 2016 (ISBN: 9784130653114)
偏微分方程式の解の形状と諸性質

宮本, 安人, 岡部真也, 京都大学数理解析研究所

京都大学数理解析研究所, Nov, 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

宮本, 安人

東京大学数理科学研究科, Mar, 2004

Professional Memberships

2009 - Present

日本応用数理学会
2004 - Present

日本数学会

Research Projects

Systematical geometric analysis and asymptotic analysis for evolution equations

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (S), Grant-in-Aid for Scientific Research (S), Japan Society for the Promotion of Science, Jun, 2019 - Mar, 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

科学研究費助成事業基盤研究(B), 基盤研究(B), 日本学術振興会, Apr, 2019 - Mar, 2024

宮本安人, 内藤雄基, 生駒典久, 石毛和弘
Studies on the qualitative theory and singularities of nonlinear partial differential equations

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A), Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, Apr, 2016 - Mar, 2020

Matano Hiroshi
The pursuit of new phenomena and methods for supercritical elliptic PDEs

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2016 - Mar, 2019

Miyamoto Yasuhito, Naito Yuki, Wakasa Tohru, Kosaka Atsushi, Takahashi Kazune
Global / Geometric structure of solutions to elliptic PDE's via higher-order information of associated variational functionals

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2015 - Mar, 2019

Takahashi Futoshi
Geometry of solutions of partial differential equations and the inverse problems accompanied by it

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2014 - Mar, 2018

SAKAGUCHI SHIGERU, ISHIGE Kazuhiro, MIKAMI Toshio, MISAWA Masashi, CAVALLINA Lorenzo
Qualitative study on model equations arising in mathematical biology from a viewpoint of the bifurcation theory

Grants-in-Aid for Scientific Research Fund for the Promotion of Joint International Research (Fostering Joint International Research), Fund for the Promotion of Joint International Research (Fostering Joint International Research), Japan Society for the Promotion of Science, 2018 - 2018

Miyamoto Yasuhito, Hilhorst Danielle, Bataillon Chirstian, Bouguezzi Meriem, Lequien Florence, Rouillard Fabien, Scheid Jean-Francois, Matano Hiroshi
Solution structures of nonlinear elliptic PDEs and new perspective of qualitative theory

Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B), Grant-in-Aid for Young Scientists (B), Japan Society for the Promotion of Science, Apr, 2012 - Mar, 2015

MIYAMOTO Yasuhito
Mathematical studies for nonlocal effect on emergence of localized patterns in dissipative systems and applications

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2010 - Mar, 2014

MORITA Yoshihisa, JIMBO Shuichi, OGAWA Toshiyuki, MIYAMOTO Yasuhito, MACHIDAQ Masahiko, ISHIHARA Shuji
Study on the structure of nonnegative solutions for parabolic equations and the perturbation theory of elliptic operators

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2009 - 2011

MURATA Minoru, SHIGA Hiroshige, UCHIYAMA Kouhei, MIYAMOTO Yasuhito
Study on stationary patterns and dynamics of parabolic partial differential equations arising in chemistry and biology

Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B), Grant-in-Aid for Young Scientists (B), Japan Society for the Promotion of Science, 2009 - 2011

MIYAMOTO Yasuhito
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

科学研究費助成事業特別研究員奨励費, 特別研究員奨励費, 日本学術振興会, 2007 - 2008

宮本安人

Profile Information

Research Interests

Research Areas

Research History

Papers

Misc.

Books and Other Publications

Professional Memberships

Research Projects

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