Natural sciences, Basic analysis

Schrödinger equation

microlocal analysis

Neumann-Poincaré operator

interface resistance

Finiteness of the stress in presence of closely located inclusions with imperfect bonding, Shota Fukushima; Yong-Gwan Ji; Hyeonbae Kang; Xiaofei Li, Feb. 2025, Mathematische Annalen, 391, 1753, 1778, Scientific journal

Decay Rate of the Eigenvalues of the Neumann-Poincaré Operator, Shota Fukushima; Hyeonbae Kang; Yoshihisa Miyanishi, Oct. 2024, Potential Analysis, 61, 573, 596, Scientific journal

Spectral structure of the Neumann–Poincaré operator on axially symmetric functions, Shota Fukushima; Hyeonbae Kang, 06 Aug. 2024, Journal of Spectral Theory, 14, 3, 1109, 1145, Scientific journal

A decomposition theorem of surface vector fields and spectral structure of the Neumann-Poincaré operator in elasticity, Shota Fukushima; Yong-Gwan Ji; Hyeonbae Kang, Mar. 2024, Transactions of the American Mathematical Society, 377, 3, 2065, 2123, Scientific journal

Spectral Properties of the Neumann-Poincaré Operator and Cloaking by Anomalous Localized Resonance: a Review, SHOTA FUKUSHIMA; YONG-GWAN JI; HYEONBAE KANG; YOSHIHISA MIYANISHI, 25 Jun. 2023, Journal of the Korean Society for Industrial and Applied Mathematics, 27, 2, 87, 108, Scientific journal

Time-Slicing Approximation of Feynman Path Integrals on Compact Manifolds, Shota Fukushima, Nov. 2021, Annales Henri Poincaré, 22, 3871, 3914, Scientific journal

Jan. 2023, 2241, 76, 86

25 Aug. 2021, LMSR2021-5

Transmission problem for perfect conductor with small interface resistance, Shota Fukushima, The 10th Young Scholar Symposium of the East Asia Section of IPIA, 24 Apr. 2026, 24 Apr. 2026, 25 Apr. 2026, English, National Taiwan University, International conference

08 Mar. 2026, 07 Mar. 2026, 08 Mar. 2026, Japanese

Perturbation of fields by perfect conductors with interface resistance, Shota Fukushima, The 9th Young Scholar Symposium of the East Asia Section of IPIA, 15 Nov. 2025, 15 Nov. 2025, 16 Nov. 2025, English, Kyoto University, International conference

Analysis of Laplace equation with interface resistance, Shota Fukushima, 第31回 数理物理と微分方程式, 04 Nov. 2025, 03 Nov. 2025, 05 Nov. 2025, Japanese

Mathematical analysis of transmission problem across ideal and resistive interface, Shota Fukushima, Semi-Classical Analysis and Spectral Theory of Schrödinger Operators on Non-Compact Spaces RIMS Workshop (Type A), Sep. 2025, 03 Sep. 2025, 05 Sep. 2025, Research Institute for Mathematical Sciences, Kyoto University

07 Jun. 2025, English

31 May 2025, Japanese

20 Mar. 2025, Japanese

13 Jan. 2025, Japanese

Surface vector field decomposition and topological characterization of codimensions, Shota Fukushima, The 8th Young Scholar Symposium East Asia Section of Inverse Problems International Association, 16 Nov. 2024, English, International conference

07 Nov. 2024, Japanese

29 Oct. 2024, English

Zero interface resistance limit of perfect conductors, Shota Fukushima, 2024 International Conference on Partial Differential Equations Related to Material Sciences, 19 Jun. 2024, English

27 Jan. 2024, Japanese

Vector field decomposition and eigenvalues of elastic Neumann-Poincaré operators, Shota Fukushima, ICIAM 2023 Tokyo Additional Conference, Plasmonics and Related Topics, 25 Aug. 2023, English

Vector field decomposition and eigenvalues of elastic Neumann-Poincaré operators, Shota Fukushima, ICIAM 2023 Tokyo Minisymposium Neumann-Poincaré Operator, Layer Potential Theory, Plasmonics and Related Topics, 22 Aug. 2023, English, International conference

Spectrum of Neumann-Poincaré operators on the boundary with axial symmetry, Shota Fukushima, LMS-Bath Symposium "Operators, Asymptotics, Waves", 28 Jul. 2023, English

Decay rate estimate of Neumann-Poincaré spectrum on less regular boundary, Shota Fukushima; Hyeonbae Kang; Yoshihisa Miyanishi, 2023 KSIAM Spring Conference, 20 May 2023, English

Decomposition of vector fields and elastic Neumann-Poincaré operator, Shota Fukushima; Yong-Gwan Ji; Hyeonbae Kang, 2022 KSIAM Annual Meeting, 24 Nov. 2022, English

05 Oct. 2022, Japanese

02 Mar. 2022, Japanese

03 Dec. 2021, Japanese

22 Oct. 2021, Japanese

05 Sep. 2021, Japanese

20 Feb. 2020, Japanese

15 Jan. 2020, Japanese

On elliptic differential operators on manifolds with end, Shota Fukushima, 02 Nov. 2019, 01 Nov. 2019, 03 Nov. 2019, Japanese

06 Jul. 2019, Japanese

03 Nov. 2018, Japanese