Nonlinear Schroedinger Evolution Equations.
Abstract
The nonlinear Schroedinger equation occurs in the study of some problems in nonlinear optics (propagation of laser beams through the atmosphere or in a plasma). The main novelty of the present result that it applies to the propagation of beams in channels (instead of the whole space). The proof relies on a new Sobolev-Orlicz embedding inequality which could be useful in other situations.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1979
- Accession Number
- ADA077137
Entities
People
- H. Brezis
- T. Gallouet
Organizations
- University of Wisconsin–Madison