(日本語ページはページ上部のタブよりお進みください.)
Assistant Professor
Department of Mathematics / Graduate School of Science / Kyoto University
Email: shimizu.ikkei.8s [at] kyoto-u.ac.jp
Ph. D. in Science at Kyoto University
Partial Differential Equations (Dispersive PDEs, Schrödinger maps, Laudau-Lifshitz equation)
[1] I. Shimizu, Remarks on local theory for Schrödinger maps near harmonic maps, Kodai Math. J. 43 (2020), 278--324. [arXiv]
[2] I. Shimizu, On uniqueness for Schrödinger maps with low regularity large data, Differential Integral Equations 33 (2020), 207--222. [arXiv], [errata]
[3] I. Shimizu, Local well-posedness of the Landau-Lifshitz equation with helicity term, J. Math Phys. 63 (2022), 091505. [arXiv]
[4] S. Ibrahim and I. Shimizu, Phase transition threshold and stability of magnetic skyrmions, Commun. Math. Phys. 402 (2023) no. 3, 2627--2640. [arXiv]
[5] M. Ikeda, T. Inui, M. Hamano, and I. Shimizu, Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph, Partial Diffe. Equ. Appl. 5 (2024) no. 5, Paper No. 4. [arXiv]
[6] S. Gustafson, T. Inui, and I. Shimizu, Multi-solitons for the nonlinear Schrödinger equation with repulsive Dirac delta potential, preprint. [arXiv:2310.08862]
[7] S. Ibrahim and I. Shimizu, Global perturbation of isolated equivariant chiral skyrmions from the harmonic maps, preprint. [arXiv:2503.03209]
[1] Remarks on local theory for Schrödinger maps near harmonic maps, The 4th KTGU Mathematics Workshop for Young Researchers, Kyoto University, 9/29/2018
[2] Remarks on local theory for Schrödinger maps near harmonic maps, 2018 CMS Winter Meeting, Vancouver, 12/8/2018
[3] Remarks on local theory for Schrödinger maps near harmonic maps, 2019 CAU-RIMS Joint Workshop on Nonlinear PDEs, Chung-Ang University, 4/26/2019
[4] On Schrödinger maps and the approach with differentiated fields, Workshop on Nonlinear PDE in Numazu, Numazu, 6/1/2019
[5] Local well-posedness for Schrödinger maps with helicity terms, Nonlinear and stochastic partial differential equations, Kyoto University, 11/9/2019
[6] Local well-posedness for Schrödinger maps with helicity terms, Workshop on nonlinear wave equations and related topics in Kobe, Kobe University, 11/23/2019
[7] Local well-posedness for Schrödinger maps with helicity terms, East Asian Core Doctoral Forum on Mathematics 2020, 1/14/2020
[8] Local well-posedness for Schrödinger maps with helicity terms, Workshop on Analysis in Kagurazaka 2020, Tokyo University of Science, 1/24/2020
[9] Local well-posedness for Schrödinger maps with helicity terms, Applied Math Seminar, University of Victoria, 3/4/2020
[10] Local well-posedness for Schrödinger maps with helicity terms, Workshop on dispersive equations, Online, 9/29/2020
[11] Local well-posedness for the Landau-Lifshitz equation with helicity term, 2020 CMS Winter Meeting, Online, 12/5/2020
[12] Profile decomposition for the Schrödinger propagator on star graphs and its application to nonlinear problems, Harmonic Analysis and Nonlinear Partial Differential Equations, RIMS, 7/12/2022
[13] Profile decomposition for the Schrödinger propagator on star graphs and its application to nonlinear problems, Summer School on Variational Problems and Functional Inequalities, OMU, 9/21/2022
[14] Phase transition threshold and stability of magnetic skyrmions, BIBUNHOUTEISHIKI seminar, Osaka Univ., 10/21/2022
[15] Phase transition threshold and stability of magnetic skyrmions, Okayama Workshop on PDEs, Okayama Univ., 10/29/2022
[16] Phase transition threshold and stability of magnetic skyrmions, NLPDE seminar, Kyoto Univ., 13/01/2023
[17] Phase transition threshold and stability of magnetic skyrmions, The 40th Symposium on Partial Differential Equations, Kyusyu Univ., 31/01/2023
(+ 17 other talks in Japanese)
[1] (Japanese) 2021年度応用数理C講義ノート
--- 偏微分方程式論の入門的講義. 大阪大学基礎工学部3・4年生配当
[2] (Japanese) 一般相対論ノート
---一般相対論の数学的取り扱いに関する入門ノート(作成途中). 有志による勉強会で扱った内容をまとめたもの. 筆者自身が勉強しながら作成している.