■論文 / Original articles
- (with K. Matsushima and T. Oka) Optimal design problem with thermal radiation, Partial Differential Equations in Applied Mathematics, 16 (2025), 101304. doi:10.1016/j.padiff.2025.101304
- (with V. Georgiev), Weighted $L^\infty$-estimates for solutions of the damped wave equation in three space dimensions and its application, Nonlinear Analysis TMA, 260 (2025), 113850. doi:10.1016/j.na.2025.113850
- (with R. Kusaba), A remark on the blowing up of solutions to Nakao's problem, Journal of Mathematical Analysis and Applications, 513 (2022), No. 1, 126199. doi:10.1016/j.jmaa.2022.126199
- (with M. Ôtani), On a comparison theorem for parabolic equations with nonlinear boundary conditions, Advances in Nonlinear Analysis, 11 (2022), No. 1, 1165-1181. doi:10.1515/anona-2022-0239
- (with M. Ôtani), Bounds for global solutions of nonlinear heat equations with nonlinear boundary conditions, Lib. Math. (N.S.), 41 (2021), No. 1, 1-22. article page
- (with M. Ôtani), Bounds for global solutions of a reaction diffusion system with the Robin boundary conditions, Differential Equations and Applications, 11 (2019), No. 2, 227-242. doi:10.7153/dea-2019-11-09
- (with M. Ôtani and H. Sakamoto), On some parabolic systems arising from a nuclear reactor model with nonlinear boundary conditions, Adv. Math. Sci. Appl., 27 (2018), No. 2, 193-224. article page
■投稿中 / Preprints (submitted)
- Asymptotics of nonlinear Robin energies with convex boundary potentials.
- (with V. Georgiev), Weighted pointwise estimates for the damped wave equation and global solutions to Nakao's problem in three dimensions.
- Space-time weighted \(L^\infty\)-estimates and decay of global solutions for a system of semilinear damped wave equations in \(\mathbb{R}^3\).
- Stability of time-fractional nonlinear evolution equations under Mosco convergence of convex energies.
- Sharp divergence rates for a refined interpolation inequality in homogeneous Besov spaces.
■査読無し論文・紀要 / Proceedings
- On a weighted estimate of solutions to the damped wave equation and its application to Nakao's problem in 3D (Evolution Equations and Related Topics - Quantitative Analysis and Abstract Structures -), RIMS Kôkyûroku, 2324, 2025.
- Convergence of functional associated with Laplacian under nonlinear boundary conditions, 第42回発展方程式若手セミナー報告集, 2021.
- 非線形境界条件を伴う非線形熱方程式の大域解の有界性について, 第41回発展方程式若手セミナー報告集, 259-264, 2020.
- 非線形境界条件に支配される放物型方程式に対する比較定理とその応用について, Hokkaido University technical report series in Mathematics 176, 319-324, 2019.
- The uniform boundedness of global solutions for a reaction diffusion system, 第40回発展方程式若手セミナー報告集, 121-128, 2018.
- On some parabolic systems arising from a nuclear reactor model (Theory of Evolution Equation and Mathematical Analysis of Nonlinear Phenomena), RIMS Kôkyûroku, 2090, 42-59, 2018.
- 原子炉モデルに起因するある反応拡散系について, 第39回発展方程式若手セミナー報告集, 125-134, 2017.
■Editorial works
- S.-I. Ei, Y. Giga, N. Hamamuki, K. Kita, H. Kubo, H. Kuroda, S. Masaki, T. Ozawa, and K. Tsutaya (Eds.), Proceedings of 51st Sapporo Symposium on Partial Differential Equations, Hokkaido University Technical Report Series in Mathematics, 192, 2026, 101pp.
- S.-I. Ei, Y. Giga, N. Hamamuki, S. Jimbo, K. Kita, H. Kubo, H. Kuroda, S. Masaki, T. Ozawa, and K. Tsutaya (Eds.), Proceedings of 50th Sapporo Symposium on Partial Differential Equations, Hokkaido University Technical Report Series in Mathematics, 190, 2025, 121pp.
■学位論文 / Thesis
- 卒業論文 Some elliptic system arising from nuclear reactors, 2017.
- 修士論文 Mathematical analysis of a reaction diffusion system arising from a nuclear reactor model with nonlinear boundary conditions, 2019.
- 博士論文 A study on the qualitative theory of solutions for some parabolic equations with nonlinear boundary conditions, 2022. (早稲田大学リポジトリ)