Justification of the fourier method for an inhomogeneous hyperbolic equation with random right-hand side

被引：0

作者：

Dovhai B.V. ^{[1
]}

机构：

[1] Schevchenko Kyiv University, Kyiv

来源：

Ukrainian Mathematical Journal | 2004年 / 56卷 / 5期

关键词：

Boundary Condition; Mathematical Physic; Hyperbolic Equation; Fourier Method; Gaussian Field;

D O I：

10.1007/s11253-005-0116-8

中图分类号：

学科分类号：

摘要：

We consider an inhomogeneous hyperbolic equation with homogeneous initial and boundary conditions and a random right-hand side. In the case where the right-hand side of the equation is a centered sample-continuous Gaussian field, we establish conditions for the existence of a solution of the first boundary-value problem of mathematical physics in the form of a series uniformly convergent in probability. © 2004 Springer Science+Business Media, Inc.

引用

页码：741 / 752

页数：11

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