Instabilities for supercritical Schrödinger equations in analytic manifolds

Details Instabilities for supercritical Schrödinger equations in analytic manifolds Instabilities for supercritical Schrödinger equations in analytic manifolds

2007-07-12

arxiv.org/abs/0707.1785v1

Mathematics

Analysis of PDEs

31 pages

Scientific paper

In this paper we consider supercritical nonlinear Schr\"odinger equations in an analytic Riemannian manifold $(M^d,g)$, where the metric $g$ is analytic. Using an analytic WKB method, we are able to construct an Ansatz for the semiclassical equation for times independent of the small parameter. These approximate solutions will help to show two different types of instabilities. The first is in the energy space, and the second is an immediate loss of regularity in higher Sobolev norms.

Affiliated with

Also associated with

No associations

Rating

Instabilities for supercritical Schrödinger equations in analytic manifolds 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 Instabilities for supercritical Schrödinger equations in analytic manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Instabilities for supercritical Schrödinger equations in analytic manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-161172