A MODULUS FOR THE 3-DIMENSIONAL WAVE-EQUATION WITH NOISE - DEALING WITH A SINGULAR KERNEL

被引：1

作者：

MUELLER, C ^{[1
]}

机构：

[1] UNIV ROCHESTER,DEPT MATH,ROCHESTER,NY 14627

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 1993年 / 45卷 / 06期

关键词：

D O I：

10.4153/CJM-1993-071-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a modulus of continuity for solutions of the wave equation with a noise term: u(tt) = DELTAu + a(u) + b(u)G, x is-an-element-of R3 where G is a Gaussian noise. This case is more difficult than in lower dimensions because the fundamental solution of the wave equation is singular.

引用

页码：1263 / 1275

页数：13

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