Spherically averaged endpoint Strichartz estimates for the two-dimensional Schrödinger equation

Details Spherically averaged endpoint Strichartz estimates for the two-dimensional Schrödinger equation Spherically averaged endpoint Strichartz estimates for the two-dimensional Schrödinger equation

1998-11-29

arxiv.org/abs/math/9811168v2

Comm. PDE 25 (2000), 1471-1485

Mathematics

Analysis of PDEs

8 pages, minor typos corrected

Scientific paper

The endpoint Strichartz estimates for the Schr\"odinger equation are known to
be false in two dimensions. However, if one averages the solution in $L^2$ in
the angular variable, we show that the homogeneous endpoint and the retarded
half-endpoint estimates hold, but the full retarded endpoint fails. In
particular, the original versions of these estimates hold for radial data.

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