Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 266, Issue 6, Pages 3209-3246Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2018.08.056
Keywords
Wave equation; Time-dependent domains; Existence and uniqueness
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Funding
- Italian Ministry of Education, University, and Research
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We introduce a notion of solution to the wave equation on a suitable class of time-dependent domains and compare it with a previous definition. We prove an existence result for the solution of the Cauchy problem and present some additional conditions which imply uniqueness. (C) 2018 Published by Elsevier Inc.
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