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Strichartz estimates for the Schrödinger equation with radial data. (English) Zbl 1009.35016

Summary: We prove an endpoint Strichartz estimate for radial solutions of the two-dimensional Schrödinger equation: \[ \|e^{-i t \Delta}f\|_{L^2_t BMO_x}\leq C\|f\|_{L^2}. \]

MSC:

35J10 Schrödinger operator, Schrödinger equation
35S30 Fourier integral operators applied to PDEs
42B15 Multipliers for harmonic analysis in several variables
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