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

De Luca, Lucia
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.
Dal Maso, Gianni; De Luca, Lucia
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/934903
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