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.
UR - https://www.scopus.com/pages/publications/54749138535
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 -