Maximal regularity for non-autonomous stochastic evolution equations in UMD Banach spaces

Proceedings of the Indian Academy of Sciences. Mathematical sciences

TÔN VIÊT TA^1¹  ATSUSHI YAGI^2²  YOSHITAKA YAMAMOTO^3³ 

[1] Center for Promotion of International Education and Research of Agriculture, Faculty of Agriculture, Kyushu University, 6-10-1 Hakozaki, Higashi-ku, Fukuoka 812-8581, Japan^1;Department of Applied Physics, Graduate School of Engineering, Osaka University, 1-5 Yamadaoka, Suita-shi, Osaka 565-0871, Japan^2;Department of Information and Physical Sciences, Graduate School of Information Science and Technology, Osaka University, 1-5 Yamadaoka, Suita-shi, Osaka 565-0871, Japan^3

关键词: Evolution operators;    stochastic linear evolution equations;    strict solutions;    maximal regularity;    UMD Banach spaces of type 2;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

A non-autonomous stochastic linear evolution equation in UMD Banach spaces of type 2 is considered. We construct unique strict solutions to the equation and show their maximal regularity. The abstract results are then applied to a stochastic partial differential equation.

【 授权许可】

CC BY