ON THE FINITE-TIME BEHAVIOR FOR NONLINEAR SCHRODINGER-EQUATIONS

Authors
JIAN Z
Citation
Z. Jian, ON THE FINITE-TIME BEHAVIOR FOR NONLINEAR SCHRODINGER-EQUATIONS, Communications in Mathematical Physics, 162(2), 1994, pp. 249-260
Citations number
9
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
162
Issue
2
Year of publication
1994
Pages
249 - 260
Database
ISI
SICI code
0010-3616(1994)162:2<249:OTFBFN>2.0.ZU;2-P
Abstract
Consider the nonlinear Schrodinger equation u(t) - iDELTAu = f(u). For f(u) = +/-\u\1+p, +/-i\u\1+p, +/-u\u\p (p > 0), and the Dirichlet bou ndary or nonlinear boundary (including the Neumann boundary and the Ro bin boundary) conditions, we establish the local estimates for the tim e t to the solutions of the initial-boundary value problems. Being bas ed up on these estimates, we investigate the blowing-up properties of the solutions.