The Benjamin-Ono equation in weighted Sobolev spaces

DOI10.1016/0022-247X(91)90108-CzbMath0762.35045MaRDI QIDQ1177018

Rafael Jose jun. Iorio

Publication date: 25 June 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemwell-posednessRiesz-Thorin interpolation theoremparabolic regularizationKato's theory of linear evolution equations of hyperbolic type

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15)

Related Items (15)

Existence and finite dimensionality of the global attractor for a class of nonlinear dissipative equations ⋮ Mixed initial-boundary value problem for the Benjamin-Ono equation ⋮ Intermediate long-wave equation on a half-line ⋮ Spatial decay properties for a model in shear flows posed on the cylinder ⋮ The Cauchy problem for dissipative Benjamin-Ono equation in weighted Sobolev spaces ⋮ Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE ⋮ Dilation method and smoothing effects of solutions to the Benjamin–Ono equation ⋮ Persistence properties for the dispersion generalized BO-ZK equation in weighted anisotropic Sobolev spaces ⋮ The IVP for the Benjamin-Ono-Zakharov-Kuznetsov equation in weighted Sobolev spaces ⋮ Neumann initial-boundary value problem for Benjamin-Ono equation ⋮ Sharp asymptotic behavior of solutions to Benjamin-Ono type equations -- short range case ⋮ Global existence and asymptotic behavior of solutions to the homogeneous Neumann problem for ILW equation on a half-line ⋮ Benjamin-Ono equation on a half-line ⋮ Large time asymptotics of solutions to the generalized Benjamin-Ono equation ⋮ Mixed initial-boundary value problem for intermediate long-wave equation

Cites Work

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• Nonlocal models for nonlinear, dispersive waves
• Sur quelques généralisations de l'équation de Korteweg-de Vries
• L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
• Linear evolution equations of hyperbolic type. II
• On the Schrödinger equation with time-dependent electric fields
• On the cauchy problem for the benjamin-ono equation

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