Well-posedness for a higher-order Benjamin-Ono equation

DOI10.1016/j.jde.2010.08.022zbMath1205.35261OpenAlexW2070746854MaRDI QIDQ616479

Didier Pilod, Gustavo Ponce, Felipe Linares

Publication date: 10 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.jde.2010.08.022

zbMATH Keywords

Benjamin-Ono equationlocal well-posednessgauge transformation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Geometric theory, characteristics, transformations in context of PDEs (35A30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (10)

Global well-posedness and scattering for the Dysthe equation in \(L^2(\mathbb{R}^2)\) ⋮ The third order Benjamin-Ono equation on the torus: well-posedness, traveling waves and stability ⋮ Sharp decay estimates and smoothness for solutions to nonlocal semilinear equations ⋮ Well-posedness for KdV-type equations with quadratic nonlinearity ⋮ Reducibility of a class of operators induced by the dispersive third order Benjamin-Ono equation ⋮ Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE ⋮ Global Well-Posedness and Limit Behavior for a Higher-Order Benjamin-Ono Equation ⋮ Local well-posedness for fourth order Benjamin-Ono type equations ⋮ Modified energy method and applications for the well-posedness for the higher-order Benjamin-Ono equation and the higher-order intermediate long wave equation ⋮ Decay estimates for solutions of nonlocal semilinear equations

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