Details

Autor(en) / Beteiligte

• Pelloni, B.
• Pinotsis, D.A.

Titel

Moving boundary value problems for the wave equation

Ist Teil von

• Journal of computational and applied mathematics, 2010-07, Vol.234 (6), p.1685-1691

Ort / Verlag

Elsevier B.V

Erscheinungsjahr

2010

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We study certain boundary value problems for the one-dimensional wave equation posed in a time-dependent domain. The approach we propose is based on a general transform method for solving boundary value problems for integrable nonlinear PDE in two variables, that has been applied extensively to the study of linear parabolic and elliptic equations. Here we analyse the wave equation as a simple illustrative example to discuss the particular features of this method in the context of linear hyperbolic PDEs, which have not been studied before in this framework.