Geodesic
On the radius of spatial analyticity for the higher order nonlinear dispersive equation
Mathematica Bohemica, Tome 147 (2022) no. 1, pp. 19-32.

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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. By Gevrey approximate conservation law, we prove the existence of the global solutions, which improve earlier results of Z. Zhang, Z. Liu, M. Sun, S. Li, (2019).
DOI : 10.21136/MB.2021.0096-20
Classification : 35B65, 35C07, 35E15, 35Q53
Keywords: higher order nonlinear dispersive equation; radius of spatial analyticity; approximate conservation law 
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Boukarou, Aissa; Guerbati, Kaddour; Zennir, Khaled. On the radius of spatial analyticity for the higher order nonlinear dispersive equation. Mathematica Bohemica, Tome 147 (2022) no. 1, pp. 19-32. doi : 10.21136/MB.2021.0096-20. http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0096-20/

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