Well-posedness and regularity of the fifth order Kadomtsev-Petviashvili I equation in the analytic Bourgain spaces

DOI10.1007/s11565-020-00340-8zbMath1462.35143OpenAlexW3021010975MaRDI QIDQ2024929

Kaddour Guerbati, Aissa Boukarou, Svetlin G. Georgiev, Khaled Zennir

Publication date: 4 May 2021

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-020-00340-8

zbMATH Keywords

well-posednesstime regularitybilinear estimatesBourgain spacesanalytic Gevrey spacesfifth-order Kadomtsev-Petviashvili I equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for nonlinear higher-order PDEs (35G25) Traveling wave solutions (35C07)

Related Items (3)

Gevrey regularity for the generalized Kadomtsev-Petviashvili I (gKP-I) equation ⋮ Global well-posedness for coupled system of mKdV equations in analytic spaces ⋮ Unnamed Item

Cites Work

• Lower bounds on the radius of spatial analyticity for the KdV equation
• Global well-posedness for the KP-II equation on the background of a non-localized solution
• Analytic well-posedness of periodic gKdV
• Well-posedness of the fifth order Kadomtsev-Petviashvili I equation in anisotropic Sobolev spaces with nonnegative indices
• Solitary waves of generalized Kadomtsev-Petviashvili equations
• The Cauchy problem for the fifth order KP equations
• LOCAL AND GLOBAL CAUCHY PROBLEMS FOR THE KADOMTSEV–PETVIASHVILI (KP–II) EQUATION IN SOBOLEV SPACES OF NEGATIVE INDICES
• On the cauchy problem for kadomtsev-petviashvili equation
• Unnamed Item
• Unnamed Item

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