Sharp thresholds of blow-up and global existence for the coupled nonlinear Schrodinger system

Details Sharp thresholds of blow-up and global existence for the coupled nonlinear Schrodinger system Sharp thresholds of blow-up and global existence for the coupled nonlinear Schrodinger system

2007-04-30

arxiv.org/abs/0704.3921v1

Mathematics

Analysis of PDEs

21 pages

Scientific paper

10.1063/1.2939238

In this paper, we establish two new types of invariant sets for the coupled nonlinear Schrodinger system on $\mathbb{R}^n$, and derive two sharp thresholds of blow-up and global existence for its solution. Some analogous results for the nonlinear Schrodinger system posed on the hyperbolic space $\mathbb{H}^n$ and on the standard 2-sphere $\mathbb{S}^2$ are also presented. Our arguments and constructions are improvements of some previous works on this direction. At the end, we give some heuristic analysis about the strong instability of the solitary waves.

Affiliated with

Also associated with

No associations

Rating

Sharp thresholds of blow-up and global existence for the coupled nonlinear Schrodinger system does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Sharp thresholds of blow-up and global existence for the coupled nonlinear Schrodinger system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sharp thresholds of blow-up and global existence for the coupled nonlinear Schrodinger system will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-415319