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

Beatrice Pelloni; Dimitrios A. Pinotsis

doi:10.1111/j.1467-9590.2008.00416.x

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

Beatrice Pelloni
, Dimitrios A. Pinotsis

School of Mathematical & Computer Sciences

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	291-312
Number of pages	22
Journal	Studies in Applied Mathematics
Volume	121
Issue number	3
DOIs	https://doi.org/10.1111/j.1467-9590.2008.00416.x
Publication status	Published - Oct 2008

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title = "The Klein–Gordon Equation in a Domain with Time-Dependent Boundary",

abstract = "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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AB - 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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JO - Studies in Applied Mathematics

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

Abstract

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