Quasilinear Schrödinger equations I: Small data and quadratic interactions

Mathematics – Analysis of PDEs

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

25 pages, 0 figures

Scientific paper

In this article we prove local well-posedness in low-regularity Sobolev spaces for general quasilinear Schr\"odinger equations. These results represent improvements of the pioneering works by Kenig-Ponce-Vega and Kenig-Ponce-Rolvung-Vega, where viscosity methods were used to prove existence of solutions in very high regularity spaces. Our arguments here are purely dispersive. The function spaces in which we show existence are constructed in ways motivated by the results of Mizohata, Ichinose, Doi, and others, including the authors.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Quasilinear Schrödinger equations I: Small data and quadratic interactions 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 Quasilinear Schrödinger equations I: Small data and quadratic interactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasilinear Schrödinger equations I: Small data and quadratic interactions will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-495623

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.