Spherically Averaged Endpoint Strichartz Estimates for the Two-dimensional Schrödinger Equation
نویسنده
چکیده
X iv :m at h/ 98 11 16 8v 1 [ m at h. A P] 2 9 N ov 1 99 8 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 L 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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