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A remark on the Strichartz inequality in one dimension

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 نشر من قبل Ryan Frier
 تاريخ النشر 2021
  مجال البحث
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In this paper, we study the extremal problem for the Strichartz inequality for the Schr{o}dinger equation on $mathbb{R}^2$. 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 to the characterization of the extremal functions: the only extremals are Gaussian functions, which was investigated previously by Foschi and Hundertmark-Zharnitsky.



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