Calculus of Variations and Geometric Measure Theory
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G. Dal Maso - R. Toader

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

created by dalmaso on 21 Apr 2018

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Submitted Paper

Inserted: 21 apr 2018
Last Updated: 21 apr 2018

Year: 2018

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.


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