Long Range Scattering for the Modified Schr"odinger Map in two space dimensions

Details Long Range Scattering for the Modified Schr"odinger Map in two space dimensions Long Range Scattering for the Modified Schr"odinger Map in two space dimensions

2006-11-14

arxiv.org/abs/math/0611435v2

Mathematics

Analysis of PDEs

latex 54 pages. Expanded introduction and bibliography

Scientific paper

We study the asymptotic behaviour in time of solutions and the theory of scattering for the modified Schr"odinger map in two space dimensions. We solve the Cauchy problem with large finite initial time, up to infinity in time, and we determine the asymptotic behaviour in time of the solutions thereby obtained. As a byproduct, we obtain global existence for small data in H^k inter FH^k with k > 1. We also solve the Cauchy problem with infinite initial time, namely we construct solutions defined in a neighborhood of infinity in time, with prescribed asymptotic behaviour of the previous type.

Affiliated with

Also associated with

No associations

Rating

Long Range Scattering for the Modified Schr"odinger Map in two space dimensions 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 Long Range Scattering for the Modified Schr"odinger Map in two space dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Long Range Scattering for the Modified Schr"odinger Map in two space dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-488108