GLOBAL EXISTENCE AND NONEXISTENCE OF THE SOLUTION OF A FORCED NONLINEAR SCHRODINGER-EQUATION

Authors
GUO BL WU YH
Citation
Bl. Guo et Yh. Wu, GLOBAL EXISTENCE AND NONEXISTENCE OF THE SOLUTION OF A FORCED NONLINEAR SCHRODINGER-EQUATION, Journal of mathematical physics, 36(7), 1995, pp. 3479-3484
Citations number
5
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
36
Issue
7
Year of publication
1995
Pages
3479 - 3484
Database
ISI
SICI code
0022-2488(1995)36:7<3479:GEANOT>2.0.ZU;2-2
Abstract
In this article, we prove that the solution of the forced nonlinear Sc hrodinger equation (1.1) below for u(0) is an element of H-1 and Q(t) is an element of C-1 with u(0)(0)=Q(0) exists globally if and only if integral(0)(T)\Q'(t)\(2) dt<infinity. This result positively answers t he conjecture of Q. Y. Bu [''On well-posedness of the forced NLS equat ion,'' Appl. Anal. 46, 219-239 (1992)]. (C) 1995 American Institute of Physics.