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Moving boundary value problems for the wave equation

✍ Scribed by B. Pelloni; D.A. Pinotsis

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
279 KB
Volume
234
Category
Article
ISSN
0377-0427

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✦ Synopsis

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.

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