Spectral Methods in PDE

Autor: Wang, Wei-Min
Rok vydání: 2010
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 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)
Databáze: arXiv