Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6417086 | Journal of Differential Equations | 2015 | 21 Pages |
Abstract
In this paper we introduce a new approach to “hidden” boundary regularity for the linear wave equation with mixed Dirichlet-Neumann boundary conditions, where the Neumann data is non-smooth. First, we obtain existence and uniqueness of solution by Galerkin estimates. Then we use a new, pseudo-extractor technique (based on the Fourier transform and shape and tangential calculus) in order to provide sharp regularity for the solution at the boundary.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Lorena Bociu, Jean-Paul Zolésio,