Abstract
We study the extremal problem for the Strichartz inequality for the Schrödinger equation on . We show that the solutions to the associated Euler–Lagrange equation are exponentially decaying in the Fourier space and thus can be extended to be complex analytic. Consequently, we provide a new proof of the characterization of the extremal functions: the only extremals are Gaussian functions, as investigated previously by Foschi, Hundertmark and Zharnitsky.
Citation
Jin-Cheng Jiang. Shuanglin Shao. "On characterization of the sharp Strichartz inequality for the Schrödinger equation." Anal. PDE 9 (2) 353 - 361, 2016. https://doi.org/10.2140/apde.2016.9.353
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