We introduce a notion of solution to the wave equation on a suitable class of time-dependent domains and compare it with a previous definition. We prove an existence result for the solution of the Cauchy problem and present some additional conditions which imply uniqueness.

On the Cauchy problem for the wave equation on time-dependent domains

Toader R.
2019-01-01

Abstract

We introduce a notion of solution to the wave equation on a suitable class of time-dependent domains and compare it with a previous definition. We prove an existence result for the solution of the Cauchy problem and present some additional conditions which imply uniqueness.
2019
Pubblicato
https://www.sciencedirect.com/science/article/pii/S0022039618305205
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/3061320
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