Shift and stability of ground states of a nonlinear Schrodinger equation outside a small insulated domain

Authors
Citation
X. Wang et Jc. Wei, Shift and stability of ground states of a nonlinear Schrodinger equation outside a small insulated domain, J DIFF EQUA, 154(1), 1999, pp. 73-95
Citations number
17
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN journal
00220396 → ACNP
Volume
154
Issue
1
Year of publication
1999
Pages
73 - 95
Database
ISI
SICI code
0022-0396(19990501)154:1<73:SASOGS>2.0.ZU;2-0
Abstract
We study the behavior and stability of ground states of a Neumann problem i n the exterior of a shrinking domain. We show that the ground states concen trate at a finite point which is a global maximum point of some function re lated to the domain. Then we use this result to prove the stability of the corresponding solitary waves of the time-dependent nonlinear Schrodinger eq uation. (C) 1999 Academic Press.