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arXiv · 2108.03483

Higher order NLS with anisotropic dispersion and modulation spaces: a global existence and scattering result

Leonid Chaichenets·Nikolaos Pattakos
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Abstract

In this paper we transfer a small data global existence and scattering result by Wang and Hudzik to the more general case of modulation spaces $M_{p, q}^s(\mathbb{R}^d)$ where $q = 1$ and $s \geq 0$ or $q \in (1, \infty]$ and $s > \frac{d}{q'}$ and to the nonlinear Schr\"odinger equation with higher order anisotropic dispersion.

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Leonid Chaichenets, Nikolaos Pattakos. 2021-08-07. Higher order NLS with anisotropic dispersion and modulation spaces: a global existence and scattering result. https://doi.org/10.1093/qmath/haad015

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