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.
A minimization approach to the wave equation on time-dependent domains / Dal Maso, G.; De Luca, L.. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8258. - 13:4(2020), pp. 425-436. [10.1515/acv-2018-0027]
A minimization approach to the wave equation on time-dependent domains
Dal Maso, G.;
2020-01-01
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.File in questo prodotto:
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