Spherically Averaged Endpoint Strichartz Estimates For The TwoDimensional Schrödinger Equation
- 1 January 1999
- journal article
- research article
- Published by Taylor & Francis in Communications in Partial Differential Equations
- Vol. 25 (7-8) , 1471-1485
- https://doi.org/10.1080/03605300008821556
Abstract
The endpoint Strichartz estimates for the Schrödinger equation is known to be false in two dimensions[7]. However, if one averages the solution in L2 in the angular variable, we show that the homogeneous endpoint and the retarded halfendoint estimates hold, but the full retarded endpoint fails. In particular, the original verisions of these estimates hold for radial dataKeywords
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