论文标题

边界附近退化波方程的规律性结果

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

论文作者

Araújo, Bruno S. V., Demarque, Reginaldo, Viana, Luiz

论文摘要

在本文中,我们建立了一些有关弱解和边界附近退化波方程的非常弱解的规律性结果。对于非排定情况,correponding结果最初是由Fabre和Puel获得的(J. of Diff。Eq。106,1993)。这种结果与波动方程的确切边界可控性密切相关,作为内部可控性的限制。

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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