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

摘要

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 retarded half-endpoint estimates hold, but the full retarded endpoint fails. In particular, the original versions of these estimates hold for radial data. [References: 11]