A minimization approach to the wave equation on time-dependent domains
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Date
2018-06
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Publisher
SISSA
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.
Description
Keywords
wave equation, time-dependent domains, minimization