4.4 Article

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

Journal

ADVANCES IN CALCULUS OF VARIATIONS
Volume 13, Issue 4, Pages 425-436

Publisher

WALTER DE GRUYTER GMBH
DOI: 10.1515/acv-2018-0027

Keywords

Wave equation; time-dependent domains; minimization

Funding

  1. Italian Ministry of Education, University, and Research through the Project Calculus of Variations (PRIN 2015)

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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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