A remark on the Strichartz inequality in one dimension
نویسندگان
چکیده
In this paper, we study the extremal problem for Strichartz inequality Schr\"{o}dinger equation on $\mathbb{R}^2$. We show that solutions to associated Euler-Lagrange are exponentially decaying in Fourier space and thus can be extended complex analytic. Consequently provide a new proof characterization of functions: only extremals Gaussian functions, which was investigated previously by Foschi Hundertmark-Zharnitsky.
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ژورنال
عنوان ژورنال: Dynamics of Partial Differential Equations
سال: 2022
ISSN: ['1548-159X', '2163-7873']
DOI: https://doi.org/10.4310/dpde.2022.v19.n2.a4