Approximate controllability of a stochastic wave equation

被引：16

作者：

Kim, JU ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2004年 / 49卷 / 01期

关键词：

wave equation; approximate controllability; the Ito representation theorem; Hilbert uniqueness method; pathwise solutions; measurability; Brownian motion;

D O I：

10.1007/s00245-003-0781-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we discuss the controllability of a wave equation with random noise. Our main tools are the Ito representation theorem and an adaptation of the Hilbert uniqueness method for the exact controllability of deterministic equations.

引用

页码：81 / 98

页数：18

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[2]

Chow PL, 2002, ANN APPL PROBAB, V12, P361

[3]

Da Prato G, 1992, STOCHASTIC EQUATIONS

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