On the Cauchy problem for the wave equation on time-dependent domains

被引：10

作者：

Dal Maso, Gianni ^{[1
]}

Toader, Rodica ^{[2
]}

机构：

[1] SISSA, Via Bonomea 265, I-34136 Trieste, Italy

[2] Univ Udine, DMIF, Via Sci 206, I-33100 Udine, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 266卷 / 06期

关键词：

Wave equation; Time-dependent domains; Existence and uniqueness;

D O I：

10.1016/j.jde.2018.08.056

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：3209 / 3246

页数：38

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[2]

Brezis H., 1973, OPERATEURS MAXIMAUX, V5

[3]

Caponi M., UNPUB

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