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On the Cauchy problem for the wave equation on time-dependent domains |
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| Authors: | Gianni Dal Maso Rodica Toader |
| Institution: | 1. SISSA, Via Bonomea 265, 34136 Trieste, Italy;2. DMIF, Università degli Studi di Udine, Via delle Scienze 206, 33100, Udine, Italy |
| 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. |
| Keywords: | 35L05 35L20 74R10 Wave equation Time-dependent domains Existence and uniqueness |
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