On the radius of spatial analyticity for the higher order nonlinear dispersive equation

In this work, using bilinear estimates in Bourgain type spaces, we prove the local existence of a solution to a higher order nonlinear dispersive equation on the line for analytic initial data $u_0$. The analytic initial data can be extended as holomorphic functions in a strip around the $x$-axis. B...

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Bibliographic Details
Main Authors: Aissa Boukarou, Kaddour Guerbati, Khaled Zennir
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2022-04-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/147/1/mb147_1_3.pdf