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

被引：0

作者：

Ton Viet Ta ^{[1
]}

Yagi, Atsushi ^{[2
]}

Yamamoto, Yoshitaka ^{[3
]}

机构：

[1] Kyushu Univ, Ctr Promot Int Educ & Res Agr, Fac Agr, Higashi Ku, 6-10-1 Hakozaki, Fukuoka 8128581, Japan

[2] Osaka Univ, Grad Sch Engn, Dept Appl Phys, 1-5 Yamadaoka, Suita, Osaka 5650871, Japan

[3] Osaka Univ, Grad Sch Informat Sci & Technol, Dept Informat & Phys Sci, 1-5 Yamadaoka, Suita, Osaka 5650871, Japan

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2017年 / 127卷 / 05期

关键词：

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

D O I：

10.1007/s12044-017-0358-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：857 / 879

页数：23

共 14 条

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