Well-posedness results for the generalized Benjamin-Ono equation with small initial data.
type: Item
instance of: scholarly article
title: Well-posedness results for the generalized Benjamin-Ono equation with small initial data.
zbMATH Open document ID: 1084.35094
author: Francis Ribaud
author: Luc Molinet
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2004-05-27T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 76B55
Mathematics Subject Classification ID: 76B03
zbMATH DE Number: 2066876
zbMATH Keywords: Cauchy problem
zbMATH Keywords: long internal gravity waves in deep stratified fluids
zbMATH Keywords: generalized Benjamin-Ono equation
MaRDI profile type: Publication
full work available at URL: j.matpur.2003.11.005
OpenAlex ID: W2011872818
cites work: Nonlocal models for nonlinear, dispersive waves
cites work: Internal waves of permanent form in fluids of great depth
cites work: Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations
cites work: Periodic Korteweg-de Vries equation with measures as initial data
cites work: THE GENERALIZED KORTEWEG–DE VRIES EQUATION ON THE HALF LINE
cites work: Maximal functions associated to filtrations
cites work: Smoothing properties and existence of solutions for the generalized Benjamin-Ono equation
cites work: On the cauchy problem for the benjamin-ono equation
cites work: Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
cites work: Q3974678
cites work: Small solutions to nonlinear Schrödinger equations
cites work: On the Generalized Benjamin-Ono Equation
cites work: Q4808272
cites work: On existence and scattering with minimal regularity for semilinear wave equations
cites work: Q4781489
cites work: Q4794337
cites work: Ill-posedness issues for the Benjamin-Ono and related equations
cites work: Self-similar solutions and semi-linear wave equations in Besov spaces
cites work: Dispersive estimates and the 2D cubic NLS equation.
cites work: On the global well-posedness of the Benjamin-Ono equation
cites work: Global strichartz estimates for nonthapping perturbations of the laplacian
cites work: Global well-posedness for Schrödinger equations with derivative in a nonlinear term and data in low-order Sobolev spaces
DOI: 10.1016/J.MATPUR.2003.11.005
description: scientific article; zbMATH DE number 2066876