Well-posedness for the fifth order KP-II initial data problem in \(H^{s, 0}(\mathbb{R} \times \mathbb{T})\)

DOI10.1016/j.jde.2016.10.048zbMath1365.35140OpenAlexW2553854529MaRDI QIDQ729944

Junfeng Li, Xia Li

Publication date: 22 December 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.10.048

zbMATH Keywords

initial value problemKP-II equationbilinear estimates\(X^{s, \frac{1}{2}, 1}\)

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (2)

On the stabilization for the high-order Kadomtsev-Petviashvili and the Zakharov-Kuznetsov equations with localized damping ⋮ On the propagation of regularities in solutions of the fifth order Kadomtsev-Petviashvili II equation

Cites Work

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• Well-posedness for the Kadomtsev-Petviashvili II equation and generalisations
• Local well-posedness for a periodic fifth order Kadomtsev-Petviashvili Ⅱ problem
• The Cauchy Problem for the Kadomtsev-Petviashvili (KPII) Equation in Three Space Dimensions
• On periodic KP-I type equations

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