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.
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页码：291 / 312
页数：22
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