Heat-flow monotonicity of Strichartz norms
Research output: Contribution to journal › Article
Colleges, School and Institutes
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.
|Number of pages||12|
|Journal||Analysis and PDE|
|Publication status||Published - 1 Jan 2009|
- Strichartz estimates, heat flow, Schrodinger equation