The Klein-Gordon equation in a domain with time-dependent boundaryPelloni, 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 Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1111/j.1467-9590.2008.00416.x Abstract/SummaryWe 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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