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arXiv · 1904.00819

The global Cauchy problem for the NLS with higher order anisotropic dispersion

Leonid Chaichenets·Nikolaos Pattakos
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Abstract

We use a method developed by Strauss to obtain global wellposedness results in the mild sense for the small data Cauchy problem in modulation spaces $M_{p,q}^s(\mathbb{R}^d)$, where $q=1$ and $s\geq0$ or $q\in(1,\infty]$ and $s>\frac{d}{q'}$ for a nonlinear Schrödinger equation with higher order anisotropic dispersion and algebraic nonlinearities.

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Leonid Chaichenets, Nikolaos Pattakos. 2019-04-01. The global Cauchy problem for the NLS with higher order anisotropic dispersion. https://doi.org/10.1017/s0017089519000491

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