ALEX 2018 Workshop: Abstracts

A minimization approach (in De Giorgi’s style) to the wave equation on time-dependent domains

Gianni Dal Maso

SISSA, Trieste (Italy)

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.