Geodesic
THE GLOBAL CAUCHY PROBLEM FOR THE NLS WITH HIGHER ORDER ANISOTROPIC DISPERSION
Glasgow mathematical journal, Tome 63 (2021) no. 1, pp. 45-53

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DOI

We use a method developed by Strauss to obtain global well-posedness results in the mild sense and existence of asymptotic states for the small data Cauchy problem in modulation spaces ${M}^s_{p,q}(\mathbb{R}^d)$, 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. 
CHAICHENETS, LEONID; PATTAKOS, NIKOLAOS. THE GLOBAL CAUCHY PROBLEM FOR THE NLS WITH HIGHER ORDER ANISOTROPIC DISPERSION. Glasgow mathematical journal, Tome 63 (2021) no. 1, pp. 45-53. doi: 10.1017/S0017089519000491
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     title = {THE {GLOBAL} {CAUCHY} {PROBLEM} {FOR} {THE} {NLS} {WITH} {HIGHER} {ORDER} {ANISOTROPIC} {DISPERSION}},
     journal = {Glasgow mathematical journal},
     pages = {45--53},
     year = {2021},
     volume = {63},
     number = {1},
     doi = {10.1017/S0017089519000491},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089519000491/}
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