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.
On the Cauchy problem for the wave equation on time-dependent domains / Dal Maso, Gianni; Toader, Rodica. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 266:6(2019), pp. 3209-3246. [10.1016/j.jde.2018.08.056]
On the Cauchy problem for the wave equation on time-dependent domains
Gianni Dal Maso
Investigation
;
2019-01-01
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 definition. We prove an existence result for the solution of the Cauchy problem and present some additional conditions which imply uniqueness.File in questo prodotto:
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