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Strichartz estimates on exterior polygonal domains
- Publication Year :
- 2012
-
Abstract
- Using a new local smoothing estimate of the first and third authors, we prove local-in-time Strichartz and smoothing estimates without a loss exterior to a large class of polygonal obstacles with arbitrary boundary conditions and global-in-time Strichartz estimates without a loss exterior to a large class of polygonal obstacles with Dirichlet boundary conditions. In addition, we prove a global-in-time local smoothing estimate in exterior wedge domains with Dirichlet boundary conditions and discuss some nonlinear applications.<br />Comment: 15 pages. This paper has been substantially revised; the results have been improved to include global-in-time estimates in the Dirichlet case. Further revised to include more related scattering references thanks to a careful reading by Fabrice Planchon
- Subjects :
- Mathematics - Analysis of PDEs
35Q41, 35P25
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1211.1211
- Document Type :
- Working Paper