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Type: Article
Large time asymptotics for the fractional Schrödinger equation with subcritical derivative nonlinearities
Abstract:
We study the global in time existence of small solutions to the Cauchy problem for the frac- tional nonlinear Schrödinger equation of order ? ? ( 3 2 , 3). We consider the cubic derivative nonlinearity with a time growth of order ? ? (0, 1 24 ) . We remark that ? > 0 means that the problem is considered as subcritical case in the sense of the large time asymptotic behavior of solutions. We assume that the initial data have an analytic extension on the sector and are small, then we find the large time asymptotics of the solutions with a phase correction
We study the global in time existence of small solutions to the Cauchy problem for the frac- tional nonlinear Schrödinger equation of order ? ? ( 3 2 , 3). We consider the cubic derivative nonlinearity with a time growth of order ? ? (0, 1 24 ) . We remark that ? > 0 means that the problem is considered as subcritical case in the sense of the large time asymptotic behavior of solutions. We assume that the initial data have an analytic extension on the sector and are small, then we find the large time asymptotics of the solutions with a phase correction
Keywords: Partial Differential Equations||Partial differential equations of mathematical physics and the other areas of application||NLS equations (nonlinear Schrödinger equations)
Journal: Partial Differential Equations and Applications
ISSN: 2662-2971
Year: 2025
Volume: 6
Number: 37
Pages: 22 pp.
MR Number: 4947680
Revision: 1
Notas: CC BY Q2 Web of Science, Q2 Scopus
El trabajo de N.H. cuenta con el apoyo parcial de la subvención JSPS KAKENHI número JP23K03160. El trabajo de P.I.N. cuenta con el apoyo parcial del CONAHCYT y del proyecto PAPIIT IN102524.
Created: 2025-11-14 11:24:44
Modified: 2025-11-14 11:32:30
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