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arXiv · 2512.15218

Strichartz estimates in Wiener amalgam spaces for Schr\"{o}dinger equations with at most quadratic potentials

Shun Takizawa
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Abstract

For Schr\"{o}dinger 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 $V(x) = 0,|x|^2/2, -|x|^2/2$.

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Shun Takizawa. 2025-12-17. Strichartz estimates in Wiener amalgam spaces for Schr\"{o}dinger equations with at most quadratic potentials. https://arxiv.org/abs/2512.15218

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