Shao, ShuanglinFrier, Ryan2025-02-102025-02-102023-05-312023http://dissertations.umi.com/ku:18901https://hdl.handle.net/1808/35891We 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].78 pagesenCopyright held by the author.MathematicsExtremizerSchrödingerStrichartzDissertation