The Klein-Gordon Equation in a Domain with Time-Dependent Boundary

被引：4

作者：

Pelloni, B. ^{[1
]}

Pinotsis, D. A. ^{[1
]}

机构：

[1] Univ Reading, Dept Math, Reading RG6 6AX, Berks, England

来源：

STUDIES IN APPLIED MATHEMATICS | 2008年 / 121卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1111/j.1467-9590.2008.00416.x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We solve a Dirichlet boundary value problem for the Klein-Gordon equation posed in a time-dependent domain. Our approach is based on a general transform method for solving boundary value problems for linear and integrable nonlinear PDE in two variables. Our results consist of the inversion formula for a generalized Fourier transform, and of the application of this generalized transform to the solution of the boundary value problem.

引用

页码：291 / 312

页数：22

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