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

Beatrice Pelloni, Dimitrios A. Pinotsis

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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 languageEnglish
Pages (from-to)291-312
Number of pages22
JournalStudies in Applied Mathematics
Issue number3
Publication statusPublished - Oct 2008


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