CONCENTRATION PROPERTIES OF BLOW-UP SOLUTIONS AND INSTABILITY RESULTSFOR ZAKHAROV EQUATION IN DIMENSION-2 .2.

Authors
GLANGETAS L MERLE F
Citation
L. Glangetas et F. Merle, CONCENTRATION PROPERTIES OF BLOW-UP SOLUTIONS AND INSTABILITY RESULTSFOR ZAKHAROV EQUATION IN DIMENSION-2 .2., Communications in Mathematical Physics, 160(2), 1994, pp. 349-389
Citations number
29
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
160
Issue
2
Year of publication
1994
Pages
349 - 389
Database
ISI
SICI code
0010-3616(1994)160:2<349:CPOBSA>2.0.ZU;2-U
Abstract
We consider the Zakharov equation in space dimension two [GRAPHICS] In the first part of the paper, we consider blow-up solutions of this eq uation. We prove various concentration properties of these solutions: existence, characterization of concentration mass, non existence of mi nimal concentration mass. In the second part, we prove instability of periodic solutions.