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arXiv · 2209.02108

Regularity results for degenerate wave equations in a neighborhood of the boundary

Bruno S. V. Araújo·Reginaldo Demarque·Luiz Viana
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Abstract

In this paper we establish some regularity results concerning the behavior of weak solutions and very weak solutions of the degenerate wave equation near the boundary. For the nondegenerate case, the correponding results were originally obtained by Fabre and Puel (J. of Diff. Eq. 106, 1993). This kind of results is closely related to the exact boundary controllability for the wave equation as the limit of internal controllability.

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Bruno S. V. Araújo, Reginaldo Demarque, Luiz Viana. 2022-09-05. Regularity results for degenerate wave equations in a neighborhood of the boundary. https://arxiv.org/abs/2209.02108

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