On a stochastic nonlinear equation in one-dimensional viscoelasticity

被引：3

作者：

Kim, JU ^{[1
]}

机构：

[1] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 354卷 / 03期

关键词：

viscoelasticity; random force; white noise; pathwise solutions;

D O I：

10.1090/S0002-9947-01-02894-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we discuss an initial-boundary value problem for a stochastic nonlinear equation arising in one-dimensional viscoelasticity. We propose to use a new direct method to obtain a solution. This method is expected to be applicable to a broad class of nonlinear stochastic partial differential equations.

引用

页码：1117 / 1135

页数：19

共 19 条

[1] ON THE EXISTENCE OF SOLUTIONS TO THE EQUATION UTT = UXXT + SIGMA-(UX)X [J].