Calculus of Variations and Geometric Measure Theory
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G. Dal Maso - L. De Luca

A minimization approach to the wave equation on time-dependent domains

created by deluca on 08 May 2018

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Inserted: 8 may 2018
Last Updated: 8 may 2018

Year: 2018

Abstract:

We prove the existence of weak solutions to the homogeneous wave equation on a suitable class of time-dependent domains. Using the approach suggested by De Giorgi and developed by Serra and Tilli, such solutions are approximated by minimizers of suitable functionals in space-time.


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