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The Klein-Gordon equation in a domain with time-dependent boundary

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Pelloni, B. and Pinotsis, D. (2008) The Klein-Gordon equation in a domain with time-dependent boundary. Studies in Applied Mathematics, 121 (3). pp. 291-312. ISSN 0022-2526

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To link to this article DOI: 10.1111/j.1467-9590.2008.00416.x

Abstract/Summary

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.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical and Physical Sciences > Department of Mathematics and Statistics
ID Code:7271
Publisher:Massachusetts Institute of Technology
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