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

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

Authors :
Araújo, Bruno S. V.
Demarque, Reginaldo
Viana, Luiz
Publication Year :
2022

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.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2209.02108
Document Type :
Working Paper