Morrey-Campanato estimates for Helmholtz equations

Authors
Perthame, B Vega, L
Citation
B. Perthame et L. Vega, Morrey-Campanato estimates for Helmholtz equations, J FUNCT ANA, 164(2), 1999, pp. 340-355
Citations number
16
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF FUNCTIONAL ANALYSIS
ISSN journal
00221236 → ACNP
Volume
164
Issue
2
Year of publication
1999
Pages
340 - 355
Database
ISI
SICI code
0022-1236(19990601)164:2<340:MEFHE>2.0.ZU;2-I
Abstract
We derive uniform weighted L-2 and Morrey-Campanato type estimates for Helm holtz equations in a medium with a variable index which is not necessarily constant at infinity. Our technique is based on a multiplier method with ap propriate weights which generalize those of Morawetz for the wave equation. We also extend our method to the wave equation. (C) 1999 Academic Press.