BLOW-UP RESULTS OF VIRIEL TYPE FOR ZAKHAROV EQUATIONS

Authors
MERLE F
Citation
F. Merle, BLOW-UP RESULTS OF VIRIEL TYPE FOR ZAKHAROV EQUATIONS, Communications in Mathematical Physics, 175(2), 1996, pp. 433-455
Citations number
19
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
175
Issue
2
Year of publication
1996
Pages
433 - 455
Database
ISI
SICI code
0010-3616(1996)175:2<433:BROVTF>2.0.ZU;2-L
Abstract
We consider the Zakharov equations in IR(N) (for N = 2,N = 3). We firs t establish a viriel identity for such equations and then prove a blow -up result for solutions with a negative energy.