STOCHASTIC EVOLUUTION EQUATIONS WITH MONOTONE NONLINEARITY IN Lp SPACES

被引：0

作者：

Amintorabi, Majid ^{[1
]}

Jahanipur, Ruhollah ^{[1
]}

机构：

[1] Univ Kashan, Fac Math, Dept Pure Math, Kashan, Iran

来源：

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2019年 / 34卷 / 04期

关键词：

Semilinear stochastic evolution equations; semimonotone nonlinearity; multiplicative noise; Lipschitz condition; EVOLUTION-EQUATIONS; DIFFERENTIAL-EQUATIONS; STABILITY;

D O I：

10.22190/FUMI1904601A

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study semilinear stochastic evolution equations with semimonotone nonlinearity and multiplicative noise in L-p spaces for 2 <= p < infinity. We do not impose any coercivity or Lipschitz condition on the nonlinear part of equations. We prove the existence, uniqueness and measurability of the mild solutions. The proofs of the existence and uniqueness are based on a version of the Ito type inequality which is stronger than analogous inequalities.

引用

页码：601 / 631

页数：31

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