Bilinear Strichartz estimates for Schrödinger operators in 2 dimensional compact manifolds with boundary and cubic NLS

Details Bilinear Strichartz estimates for Schrödinger operators in 2 dimensional compact manifolds with boundary and cubic NLS Bilinear Strichartz estimates for Schrödinger operators in 2 dimensional compact manifolds with boundary and cubic NLS

2009-09-16

arxiv.org/abs/0909.2902v1

Mathematics

Analysis of PDEs

22 pages

Scientific paper

In this paper, we establish bilinear and gradient bilinear Strichartz
estimates for Schr\"odinger operators in 2 dimensional compact manifolds with
boundary. Using these estimates, we can infer the local well-posedness of cubic
nonlinear Schr\"odinger equation in $H^s$ for every $s>{2/3}$ on such
manifolds.

Affiliated with

Also associated with

No associations

Rating

Bilinear Strichartz estimates for Schrödinger operators in 2 dimensional compact manifolds with boundary and cubic NLS 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 Bilinear Strichartz estimates for Schrödinger operators in 2 dimensional compact manifolds with boundary and cubic NLS, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bilinear Strichartz estimates for Schrödinger operators in 2 dimensional compact manifolds with boundary and cubic NLS will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-582011