Yoshihisa Miyanishi

Profile Information

Affiliation: Faculty of Science Department of Mathematics, Shinshu University

Contact information: miyanishimath.shinshu-u.ac.jp
Researcher number: 20740236
ORCID ID: https://orcid.org/0000-0002-8252-4267
J-GLOBAL ID: 201801001819866311
researchmap Member ID: B000323623

External link: http://math.shinshu-u.ac.jp/~miyanishi/indexEN.html

Research Interests

Research Areas

Natural sciences / Basic analysis / Global Analysis

Research History

Apr, 2022 - Present

Visiting Associate Professor, The Open University of Japan
Apr, 2021 - Present

Associate Professor, Department of Mathematical Sciences, Faculty of Science, Shinshu University
Nov, 2020 - Mar, 2021

The Open University of Japan
Aug, 2020 - Mar, 2021

Center for Research and Development Strategy
Apr, 2020 - Mar, 2021

specially appointed lecturer, Center for Mathematical Modeling and Data Science, Osaka University
Apr, 2015 - Mar, 2020

Osaka University
Oct, 2013 - Mar, 2015

Osaka University
Apr, 2004 - Jan, 2008

Study Centers, The Open University of Japan
Apr, 2006 - Mar, 2007

Tokyo institute of technology
Sep, 2004 - Mar, 2006

College of Engineering, Kanto Gakuin University
Apr, 2001 - Mar, 2006

College of Engineering, Shibaura Institute of Technology
Apr, 2000 - Mar, 2006

Faculty of Engineering, Shonan Institute of Technology

Committee Memberships

Aug, 2021 - Present

ICIAM2023 Local Scientific Program Committee, ICIAM

Papers

Spectral structure of the Neumann-Poincare operator on thin ellipsoids and flat domains

Kazunori Ando, Hyeonbae Kang, Sanghyuk Lee, Yoshihisa Miyanishi

SIAM Journal on Mathematical Analysis, 54(6), Nov, 2022 Peer-reviewedLast author
Weyl’s law for the eigenvalues of the Neumann–Poincare operators in three dimensions: Willmore energy and surface geometry

Yoshihisa Miyanishi

Advances in Mathematics, 406, Sep, 2022 Lead authorLast authorCorresponding author
Spectral structure of the Neumann–Poincaré operator on thin domains in two dimensions

Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi

Journal d'Analyse Mathématique, 146(2) 791-800, Jun 3, 2022 Peer-reviewedLast author
Spectral Properties of the Neumann–Poincaré Operator in 3D Elasticity

Yoshihisa Miyanishi, Grigori Rozenblum

International Mathematics Research Notices, 2021(11) 8715-8740, May 24, 2021 Lead authorCorresponding author
Surface localization of plasmons in three dimensions and convexity

Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi, Takashi Nakazawa

SIAM Journal on Applied Mathematics, 81(3) 1020-1033, Mar, 2021 Peer-reviewedCorresponding author
Spectral analysis of Neumann-Poincare operator

Kazunori Ando, Hyoenbae Kang, Yoshihisa Miyanishi, Mihai Putinar

Revue Roumaine Math. Pures Appl., Jun, 2020 Peer-reviewed
Convergence rate for eigenvalues of the elastic Neumann-Poincaré operator in two dimensions

Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi

Journal de Mathématiques Pures et Appliquées, Mar, 2020 Peer-reviewedLast authorCorresponding author
Spectral structure of the Neumann--Poincare operator on tori

K. Ando, Yong-Wang Ji, H. Kang, D. Kawagoe, Yoshihisa Miyanishi

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Jun, 2019 Peer-reviewedLast author
14

Eigenvalues of the Neumann-Poincare operator in dimension 3: Weyl's law and geometry

Yoshihisa Miyanishi, Grigori Rosenblum

St. Petersburg Mathematical Journal, 2019 Peer-reviewedLead author
Spectral Structure of Elastic Neumann-Poincaré Operators

Yoshihisa Miyanishi, Kazunori Ando, Hyeonbae Kang

Journal of Physics: Conference Series, 965(1), Feb 15, 2018 Peer-reviewedLast authorCorresponding author
The First Hadamard variation of Neumann-Poincare eigenvalues on the sphere

Y. Miyanishi, K. Ando, H. Kang, E. Ushikoshi

Proc. Amer. Math. Soc., 2018 Peer-reviewedCorresponding author
Exponential decay estimates of the eigenvalues for the Neumann-Poincare operator on analytic boundaries in two dimensions

K. Ando, H. Kang, Y. Miyanishi

Journal of Integral Equations and Applications, 2018 Peer-reviewedLast author
EIGENVALUES AND EIGENFUNCTIONS OF DOUBLE LAYER POTENTIALS

Yoshihisa Miyanishi, Takashi Suzuki

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 369(11) 8037-8059, Nov, 2017 Peer-reviewedLead authorCorresponding author
Elastic Neumann-Poincar?e operators in three dimensions: Polynomial compactness and spectral structure

Y. Miyanishi, K. Ando, H. Kang

Int. Math. Res. Notices, 2017 Peer-reviewedLast authorCorresponding author
Low energy approximations of the Feynman path integral for Schrodinger evolution operators

Yoshihisa Miyanishi

Mar, 2014 Peer-reviewedLead authorLast authorCorresponding author
Remarks on low-energy approximations for Feynman path integration on the sphere

Yoshihisa Miyanishi

Adv. Math. Appl. Anal., 9(1) 41-61, 2014 Peer-reviewedLead authorLast authorCorresponding author
A remark on the eigenvalue distribution of Laplacian in quasi-bounded domains

宮西吉久

東京工業大学, Mar, 1996 Peer-reviewedLead authorLast authorCorresponding author

Misc.

The spectral theory of the Neumann–Poincare operator on convex domains

Yoshihisa Miyanishi

RIMS Kokyuroku, 2235, To appear, Dec, 2022 Invited
Notes on spectral clusters for semiclassical Schr}odinger operators

Yoshihisa Miyanishi

RIMS Kokyuroku, 2023 29-34, 2016 Invited
A remark on Laplace Eigenfunctions on M3A

Yoshihisa Miyanishi

89 135-138, 2006
A remark on the equi-distribution of generalized eigenfunctions

Yoshihisa Miyanishi

104 61-68, 2005
A REMARK ON THE NON-SCARRING OF $-\triangle u_j=\lambda_j u_{j \cdot}$ (Microlocal Analysis of the Schrodinger Equation and Related Topics)

Miyanishi Yoshihisa

RIMS Kokyuroku, 1176 18-25, Nov, 2000
SEMICLASSICAL ERGODICITY AND THE RELATED PROBLEMS (Spectral and Scattering Theory and Its Related Topics)

Miyanisi Yosihisa

RIMS Kokyuroku, 1156 27-34, May, 2000
Riemannian manifolds with uniformly bounded eigenfunctions

Yoshihisa Miyanishi

43-47, 2000
Quantum ergodicity and the related problems

Yoshihisa Miyanishi

132-138, 1998
固有関数漸近挙動と古典エルゴード性 : 一般 HAMILTON系が ERGODICである為の半古典固有関数に対する必要十分条件(スペクトル・散乱理論とその周辺)

宮西吉久

数理解析研究所講究録, 994 138-154, May, 1997

Books and Other Publications

データサイエンスリテラシー : モデルカリキュラム準拠

数理人材育成協会 (Role: Contributor, 第2章から第4章)

培風館, Nov, 2021 (ISBN: 9784563016135)
解析入門―例を中心として

宮西吉久

学術図書出版社, May, 2006 (ISBN: 4873618347)

Presentations

Spectral asymptotics for some operators and related applications

Yoshihisa Miyanishi

スペクトル・散乱待兼山シンポジウム, Jan 7, 2023 Invited
Weyl's law for the Neumann–Poincaré operator and unsolved problems

Yoshihisa Miyanishi

Inha University seminar, Aug 30, 2022 Invited
Some remarks on fundamental solutions in Colombeau algebras

Yoshihisa Miyanishi

2022 年夏の作用素論シンポジウム(愛媛), Aug 27, 2022
Spectral structure of double layer potentials on thin domains

Yoshihisa Miyanishi

Feb 12, 2022
The spectral theory of the Neumann--Poincaré operator on convex domains

Yoshihisa Miyanishi

2021 Mathematical aspects of quantum fields and related topics, Dec 7, 2021 Invited
The spectral theory of the Neumann--Poincaré operator on various domains and its applications to PDE

Yoshihisa Miyanishi

Nov 12, 2021 Invited
Full Quantization and the Spectral Theory on the Two-Dimensional Torus

Yoshihisa Miyanishi

Sep 4, 2021
Global Analysis: Spectral theory of linear operators and the related problems

Yoshihisa Miyanishi

Jul 20, 2021 Invited
Surface localization of plasmons in three dimensions and convexity

Yoshihisa Miyanishi

International Conference on Partial Differential Equations Related to Material Science, May 8, 2021 Invited
Surface localization of plasmons in three dimensions and convexity

Yoshihisa Miyanishi

Sep 9, 2020 Invited
Applications of Neumann-Poincaré operators: non-cloaking by anomalous localized resonance for the electro-static system in threedimensional smooth convex domains.

Yoshihisa Miyanishi

Conference in Spectral Theory and Mathematical Physics, Feb 4, 2020 Invited
Spectral theory of Neumann--Poincaré operators

Yoshihisa Miyanishi

Nov 16, 2019 Invited
Spectral theory of layer potentials in three dimensions: Weyl's law and surface geometry

Yoshihisa Miyanishi

Oct 13, 2019
The spectral Theory of the Neumann--Poincare Operator and its Applications

Yoshihisa Miyanishi

Sep 17, 2019 Invited
Spectral Theory of Layer Potential Operators and Applications I～IV

Yoshihisa Miyanishi

RIMS Workshop, New aspects on spectral analysis brought by geometrical structures, Sep, 2019 Invited
Surface plasmons on smooth strictly convex surfaces

Yoshihisa Miyanishi

Aug 7, 2019
Eigenvalues of the Neumann--Poincare operator: Weyl's law and geometry

Yoshihisa Miyanishi

The Ninth Congress of Romanian Mathematicians, Jul 2, 2019 Invited
Sectrum Geometry of Layer Potential Operators and Classical Mechanics

Yoshihisa Miyanishi

Jun 5, 2019
Introduction to spectral geometry of boundary integral operators

Yoshihisa Miyanishi

Mini-workshop Neumann-Poincare operator and related topics, Mar 30, 2019 Invited
Spectral analysis of boundary integral operators: Neumann--Poincaré operators and geometry

宮西吉久

Saga Workshop on Partial Differential Equations, Mar 7, 2019 Invited

Teaching Experience

Sep, 2021 - Present

Functional Analysis (Shinshu University)
Apr, 2021 - Present

Calculus (Shinshu University)
集合と位相 (芝浦工業大学)
統計学 (芝浦工業大学)
微分積分学 (湘南工科大学，芝浦工業大学，関東学院大学)
線形代数 (湘南工科大学，芝浦工業大学，放送大学)
Mathematical Modeling (Graduate School of Engineering Science, Osaka University)
文理融合に向けた数理科学 (大阪大学)

Professional Memberships

Research Projects

ノイマン-ポアンカレ作用素のスペクトル解析とプラズモン共鳴現象への応用

科学研究費助成事業基盤研究C, No. 20K03655, 日本学術振興会, Apr, 2020 - Mar, 2024

安藤和典, 宮西吉久
Spectral theory of Neumann--Poincare operators and its Generalization

Grant-in-Aid for Early-Career Scientists, Japan Society for the Promotion of Science, Apr, 2021 - Mar, 2023

Yoshihisa Miyanishi
Spectral theory of Neumann--Poincare operators

Grant-in-Aid for Early-Career Scientists, Japan Society for the Promotion of Science, Apr, 2019 - Mar, 2022

Yoshihisa Miyanishi
多成分偏微分方程式系の解析的研究

JSPS 基盤研究 B, No. 19H01799, 日本学術振興会, Apr, 2019 - Mar, 2021

鈴木貴
ノイマン-ポアンカレ作用素のスペクトル解析とその応用

JSPS 基盤研究 C, No. 17K05303, 日本学術振興会, Apr, 2017 - Mar, 2020

安藤和典

Academic Activities

Communications on Analysis and Computation (CAC)

Supervision (editorial)

Habib Ammari, Hongyu Liu, Minghui Song, Dec, 2022 - Present
Neumann-Poincaré Operator, Layer Potential Theory, Plasmonics and Related Topics, Minisymposium ICIAM2023

Planning, management, etc., Panel moderator, session chair, etc., Peer review

Kazunori Ando, Yoshihisa Miyanishi, Aug, 2023 - Aug, 2023
Mini-Workshop on Mathematical Analysis and Related Topics

Planning, management, etc., Panel moderator, session chair, etc.

Kazunori Ando, Yoshihisa Miyanishi, Jan 27, 2022 - Jan 27, 2022

Profile Information

Research Interests

Research Areas

Research History

Committee Memberships

Papers

Misc.

Books and Other Publications

Presentations

Teaching Experience

Professional Memberships

Research Projects

Academic Activities

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