Heat-flow monotonicity of Strichartz norms

Research output: Contribution to journalArticle

Authors

Colleges, School and Institutes

Abstract

Our main result is that for d = 1, 2 the classical Strichartz norm parallel to e(is Delta) f parallel to(2+4/d)(Ls,x)(RxR(d)) associated to the free Schrodinger equation in nondecreasing as the initial datum f evolves under a certain quadratic heat flow.

Details

Original languageEnglish
Pages (from-to)147-158
Number of pages12
JournalAnalysis and PDE
Volume2
Issue number2
Publication statusPublished - 1 Jan 2009

Keywords

  • Strichartz estimates, heat flow, Schrodinger equation