Strichartz estimates for quasi-periodic functions and applications

Robert Schippa

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arXiv · 2407.01830

Strichartz estimates for quasi-periodic functions and applications

Robert Schippa

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Abstract

We show Strichartz estimates for quasi-periodic functions with decaying Fourier coefficients via $\ell^2$-decoupling. When we additionally average in time, further improvements can be obtained. Next, we apply multilinear refinements to show low regularity local well-posedness for nonlinear Schr\"odinger equations. For the cubic nonlinear Schr\"odinger equation the approach yields the sharp local well-posedness result.

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Robert Schippa. 2024-07-01. Strichartz estimates for quasi-periodic functions and applications. https://arxiv.org/abs/2407.01830

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