Calculus of Variations and Geometric Measure Theory

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

Lucia De Luca (Istituto per le Applicazioni del Calcolo - CNR)

created by gelli on 21 Sep 2018

10 oct 2018 -- 17:00   [open in google calendar]

Sala Seminari Dipartimento di Matematica di Pisa

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. Joint work with Gianni Dal Maso.