STRONG SOLUTIONS FOR STOCHASTIC NONLINEAR NONLOCAL PARABOLIC EQUATIONS

被引：1

作者：

Coayla-Teran, Edson A. ^{[1
]}

机构：

[1] Univ Fed Bahia, Dept Matemat, BR-40170110 Salvador, Bahia, Brazil

来源：

STOCHASTICS AND DYNAMICS | 2010年 / 10卷 / 04期

关键词：

Multiplicative white noise; nonlocal problem; nonlinear parabolic; existence and uniqueness;

D O I：

10.1142/S0219493710003054

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this article we investigate the existence and uniqueness of strong solutions to the initial-boundary value problem with homogeneous boundary conditions for a stochastic nonlinear parabolic equation of nonlocal type with multiplicative white noise. Moreover, we prove a simple result on the asymptotic behavior for the solution.

引用

页码：497 / 508

页数：12

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