Structural Resolvent Estimates and Derivative Nonlinear Schrödinger Equations
Abstract
A refinement of a uniform resolvent estimate is given and several smoothing estimates for Schrödinger equations in the critical case are induced from it. The relation between this resolvent estimate and a radiation condition is discussed. As an application of critical smoothing estimates, we show a global existence result for derivative nonlinear Schrödinger equations.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 September 2012
 DOI:
 10.1007/s002200121524x
 arXiv:
 arXiv:1101.5026
 Bibcode:
 2012CMaPh.314..281R
 Keywords:

 Mathematics  Analysis of PDEs;
 Mathematics  Functional Analysis
 EPrint:
 21 pages