Research keywords (4)：
Linear operator
, Quantization
, Spectrum
, Neumann--Poincaré operator
Research theme for competitive and other funds (5)：
2020 - 2024 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
2021 - 2023 Spectral theory of Neumann--Poincare operators and its Generalization
2019 - 2022 Spectral theory of Neumann--Poincare operators
2019 - 2021 多成分偏微分方程式系の解析的研究
2017 - 2020 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
Papers (20)：
S. Fukushima, H. Kang, Y. Miyanishi. Decay rate of the eigenvalues of the Neumann-Poincare operator. Potential Analysis. 2023. To appear
Yoshihisa Miyanishi. A short note on decay rates of odd partitions: An application of spectral asymptotics of the Neumann-Poincare operators. Archiv der Mathematik. 2023. 121. 419-424
Shota Fukushima, Yonggwan Ji, Hyeonbae Kang, Yoshihisa Miyanishi. Spectral properties of the Neumann-Poincare operator and cloaking by anomalous localized resonance: a review. The Journal of the Korean Society for Industrial and Applied Mathematics. 2023. 27. 2. 87-108
Kazunori Ando, Hyeonbae Kang, Sanghyuk Lee, Yoshihisa Miyanishi. Spectral structure of the Neumann-Poincare operator on thin ellipsoids and flat domains. SIAM Journal on Mathematical Analysis. 2022. 54. 6
Yoshihisa Miyanishi. Weyl’s law for the eigenvalues of the Neumann-Poincare operators in three dimensions: Willmore energy and surface geometry. Advances in Mathematics. 2022. 406
Yoshihisa Miyanishi. The spectral theory of the Neumann-Poincare operator on convex domains. RIMS Kokyuroku. 2022. 2235. 118-123
Yoshihisa Miyanishi. Notes on spectral clusters for semiclassical Schr}odinger operators. RIMS Kokyuroku. 2016. 2023. 29-34
Yoshihisa Miyanishi. A remark on Laplace Eigenfunctions on M3A. 2006. 89. 135-138
Yoshihisa Miyanishi. A remark on the equi-distribution of generalized eigenfunctions. 2005. 104. 61-68
Miyanishi Yoshihisa. A REMARK ON THE NON-SCARRING OF $-\triangle u_j=\lambda_j u_{j \cdot}$ (Microlocal Analysis of the Schrodinger Equation and Related Topics). RIMS Kokyuroku. 2000. 1176. 18-25
Decay rate of the eigenvalues of the Neumann-Poincare operator
(2024)
A short note on decay rates of odd partitions: an application of spectral asymptotics of the Neumann-Poincare operators
(The 20th Linear and Nonlinear Waves 2023)
Spectral Theory of Layer Potential Type Operators
(The 66th complex analysis symposium 2023)
Spectral Theory of Layer Potential Type Operators and its Applications
(MSJ Autumn Meeting 2023 2023)
Fundamental solutions in Colombeau locally convex topological algebras
(2023)
2022/04 - 現在 The Open University of Japan Visiting Associate Professor
2021/04 - 現在 Shinshu University Department of Mathematical Sciences, Faculty of Science Associate Professor
2020/11 - 2021/03 The Open University of Japan
2020/08 - 2021/03 Center for Research and Development Strategy
2020/04 - 2021/03 Osaka University Center for Mathematical Modeling and Data Science specially appointed lecturer
2015/04 - 2020/03 Osaka University
2013/10 - 2015/03 Osaka University
2004/04 - 2008/01 The Open University of Japan Study Centers
2006/04 - 2007/03 Tokyo institute of technology
2004/09 - 2006/03 Kanto Gakuin University College of Engineering
2001/04 - 2006/03 Shibaura Institute of Technology College of Engineering
2000/04 - 2006/03 Shonan Institute of Technology Faculty of Engineering
Show all
Committee career (1)：
2021/08 - 2023/08 ICIAM ICIAM2023 Local Scientific Program Committee
Association Membership(s) (5)：
THE MATHEMATICAL SOCIETY OF JAPAN
, Mathematical Association of America
, Inverse Problems International Association (IPIA)
, Society for Industrial and Applied Mathematics
, American Mathematical Society
