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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:266

Article

Dal Maso, Gianni¹  Toader, Rodica² 

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

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

关键词: Wave equation;    Time-dependent domains;    Existence and uniqueness;   

DOI  :  10.1016/j.jde.2018.08.056

来源: Elsevier

【 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.

【 授权许可】

Free