Authors
Citation
J. Bourgain, Invariant measures for NLS in infinite volume, COMM MATH P, 210(3), 2000, pp. 605-620
Citations number
5
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN journal
00103616
→ ACNP
Volume
210
Issue
3
Year of publication
2000
Pages
605 - 620
Database
ISI
SICI code
0010-3616(200004)210:3<605:IMFNII>2.0.ZU;2-E
Abstract
We study Gibbs-measures and invariant dynamics for 1D-defocusing NLS iu(t)
+ u(xx) - rho u - u\u\(p-2) = 0 when the period L --> infinity. For all p <
infinity,weak solutions are typically Holder continuous on bounded space-t
ime regions. If p less than or equal to 4, uniqueness and continuous depend
ence on the initial data may be shown.