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Extremizers to the Strichartz Inequality in Dimension 1

Frier, Ryan
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Abstract
We study the extremal problem for the Strichartz inequality for the Schrödinger equation onR2.We show that the solutions to the associated Euler-Lagrange equation are exponentially decayingin the Fourier space and thus can be extended to be complex analytic. Consequently we providea new proof to the characterization of the extremal functions: the only extremals are Gaussianfunctions, which was investigated previously by Foschi [1] and Hundertmark-Zharnitsky [2].
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2023-05-31
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University of Kansas
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Mathematics, Extremizer, Schrödinger, Strichartz
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https://hdl.handle.net/1808/35891
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