Spectral Methods in PDE
Analysis of PDEs
2010-09-07 v1 Dynamical Systems
Abstract
This is to review some recent progress in PDE. The emphasis is on (energy) supercritical nonlinear Schr\"odinger equations. The methods are applicable to other nonlinear equations.
Cite
@article{arxiv.1009.0993,
title = {Spectral Methods in PDE},
author = {Wei-Min Wang},
journal= {arXiv preprint arXiv:1009.0993},
year = {2010}
}
Comments
This is an invited contribution to Milan J. Math., after a talk at the Seminario Matematico e Fisico di Milano. It also contains a new result on critical Sobolev exponent for the cubic nonlinear Schr\"odinger equation on general surfaces. (13pp)