Goro Akagi, Kazuhiro Ishige, Ryuichi Sato. General framework to construct local-energy solutions of nonlinear diffusion equations for growing initial data. Journal of Functional Analysis. 2023. 284. 10-109891. 1-86
Takahiro Kosugi, Ryuichi Sato. Existence of global-in-time solutions to a system of fully nonlinear parabolic equations. Acta Appl. Math. 2022. 181
Md. Rabiul Haque, Norisuke Ioku, Takayoshi Ogawa, Ryuichi Sato. Well-posedness of the Cauchy problem for convection-diffusion equations in uniformly local Lebesgue spaces. Differential and Integral Equations. 2021. 34. 3-4. 223-244
J. Eom, R. Sato. Large time behavior of ODE type solutions to parabolic $p$-Laplacian type equations. Commun. Pure Appl. Anal. 2020. 19. 9. 4373-4386
石毛 和弘, 佐藤 龍一. Local existence of solutions for the heat equation with a nonlinear boundary condition (Shapes and other properties of the solutions of PDEs). 数理解析研究所講究録. 2015. 1974. 1-19
講演・口頭発表等 (2件):
Existence of global-in-time solutions to a system of fully nonlinear parabolic equations
(OIST Workshop for Geometric Aspects of Partial Differential Equations 2024)
On existence of solutions to a system of fully nonlinear parabolic equations
(Workshop on Nonlinear Partial Differential Equations - China-Japan Joint Project for Young Mathematicians 2023 2023)