Strichartz estimates in Wiener amalgam spaces for Schrödinger equations with at most quadratic potentials

2025/12/17 by Takizawa, Shun
Mathematics · #Advanced Mathematical Physics Problems #Mathematical Analysis and Transform Methods #Advanced Harmonic Analysis Research

paper · doi:10.48550/arxiv.2512.15218

Abstract

For Schrödinger equations with potentials which grow at most quadratically at spatial infinity, we prove Strichartz estimates in Wiener amalgam spaces. These estimates provide a stronger recovery of local-in-space regularity than the classical Strichartz estimates in Lebesgue spaces. Our result is a generalization of the results on Strichartz estimates in Wiener amalgam spaces by Cordero and Nicola, which are stated for the potentials V(x) = 0,|x|²/2, -|x|²/2.

Citations

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