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

Access to Document

10.1111/j.1467-9590.2008.00416.x

Cite this

@article{21fb8e85d82e424ab64f9ec5e48d5166,

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.",

author = "Beatrice Pelloni and Pinotsis, {Dimitrios A.}",

year = "2008",

month = oct,

doi = "10.1111/j.1467-9590.2008.00416.x",

language = "English",

volume = "121",

pages = "291--312",

journal = "Studies in Applied Mathematics",

issn = "0022-2526",

publisher = "John Wiley & Sons Inc.",

number = "3",

}

TY - JOUR

T1 - The Klein–Gordon Equation in a Domain with Time-Dependent Boundary

AU - Pelloni, Beatrice

AU - Pinotsis, Dimitrios A.

PY - 2008/10

Y1 - 2008/10

N2 - 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.

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.

U2 - 10.1111/j.1467-9590.2008.00416.x

DO - 10.1111/j.1467-9590.2008.00416.x

M3 - Article

SN - 0022-2526

VL - 121

SP - 291

EP - 312

JO - Studies in Applied Mathematics

JF - Studies in Applied Mathematics

IS - 3

ER -

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

Abstract

Access to Document

Fingerprint

Cite this