On the Cauchy problem for the wave equation on time-dependent domains
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Date
2018-04
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Publisher
SISSA
Abstract
We introduce a notion of solution to the wave equation on a suitable class
of time-dependent domains and compare it with a previous de nition. We prove an
existence result for the solution of the Cauchy problem and present some additional
conditions which imply uniqueness.
Description
Keywords
wave equation, time-dependent domains, existence and uniqueness