Spherically averaged endpoint Strichartz estimates for the two-dimensionalSchrodinger equation

Authors
Tao, T
Citation
T. Tao, Spherically averaged endpoint Strichartz estimates for the two-dimensionalSchrodinger equation, COMM PART D, 25(7-8), 2000, pp. 1471-1485
Citations number
11
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
ISSN journal
03605302 → ACNP
Volume
25
Issue
7-8
Year of publication
2000
Pages
1471 - 1485
Database
ISI
SICI code
0360-5302(2000)25:7-8<1471:SAESEF>2.0.ZU;2-7
Abstract
The endpoint Strichartz estimates for the Schrodinger equation is known to be false in two dimensions[7]. However, if one averages the solution in L-2 in the angular variable, we show that the homogeneous endpoint and the ret arded half-endpoint estimates hold, but the full retarded endpoint fails. I n particular, the original versions of these estimates hold for radial data .