STOCHASTIC PARTIAL-DIFFERENTIAL EQUATIONS IN M-TYPE-2 BANACH-SPACES

被引：108

作者：

BRZEZNIAK, Z ^{[1
]}

机构：

[1] JAGIELLONIAN UNIV,INST MATEMAT,KRAKOW,POLAND

来源：

POTENTIAL ANALYSIS | 1995年 / 4卷 / 01期

关键词：

STOCHASTIC PARABOLIC EQUATIONS; M-TYPE 2 AND UMD BANACH SPACES; REAL AND COMPLEX INTERPOLATION; SOBOLEV AND BESOV SPACES;

D O I：

10.1007/BF01048965

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study abstract stochastic evolution equations in M-type 2 Banach spaces. Applications to stochastic partial differential equations in L(p) spaces with p greater than or equal to 2 are given. For example, solutions of such equations are Holder continuous in the space variables.

引用

页码：1 / 45

页数：45

共 47 条

[1] ESTIMATES NEAR THE BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .1. [J].