The IVP for a nonlocal perturbation of the Benjamin-Ono equation in classical and weighted Sobolev spaces

DOI10.1016/j.jmaa.2019.03.047zbMath1414.35049arXiv1807.10674OpenAlexW2883815623WikidataQ128158622 ScholiaQ128158622MaRDI QIDQ2633859

Guillermo Rodríguez-Blanco, Ricardo A. Pastrán, Germán E. Fonseca

Publication date: 10 May 2019

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

Full work available at URL: https://arxiv.org/abs/1807.10674

zbMATH Keywords

local and global well-posednesspersistence propertiesunique continuation properties

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25) Integro-partial differential equations (35R09)

Related Items (5)

On decay of the solutions for the dispersion generalized Benjamin-Ono and Benjamin-Ono equations ⋮ On uniqueness results for solutions of the Benjamin equation ⋮ The Cauchy problem for dissipative Benjamin-Ono equation in weighted Sobolev spaces ⋮ Persistence properties for the dispersion generalized BO-ZK equation in weighted anisotropic Sobolev spaces ⋮ The IVP for the evolution equation of wave fronts in chemical reactions in low-regularity Sobolev spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Well-posedness for the two dimensional generalized Zakharov-Kuznetsov equation in anisotropic weighted Sobolev spaces
• Sharp well-posedness for the Chen-Lee equation
• On the well-posedness of higher order viscous Burgers' equations
• The Zakharov-Kuznetsov equation in weighted Sobolev spaces
• The IVP for the Benjamin-Ono equation in weighted Sobolev spaces
• Sharp well-posedness results for the Kuramato-Velarde equation
• Geometric theory of semilinear parabolic equations
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• On the Korteweg-de Vries-Kuramoto-Sivashinsky equation
• The Cauchy problem associated to the Benjamin equation in weighted Sobolev spaces
• The Cauchy problem for the Benjamin-Ono equation in \(L^{2}\) revisited
• Unique continuation principles for the Benjamin-Ono equation
• The IVP for the dispersion generalized Benjamin-Ono equation in weighted Sobolev spaces
• Ill-Posedness Issues for the Benjamin--Ono and Related Equations
• Global well-posedness of the Benjamin–Ono equation in low-regularity spaces
• On persistence properties in fractional weighted spaces
• Well-Posedness for the Two-Dimensional Modified Zakharov–Kuznetsov Equation
• On the Persistent Properties of Solutions to Semi-Linear Schrödinger Equation
• On the cauchy problem for the benjamin-ono equation
• A bilinear estimate with applications to the KdV equation
• Nonuniqueness and Uniqueness in the Initial-Value Problem for Burgers’ Equation
• Well-posedness and dispersive decay of small data solutions for the Benjamin-Ono equation
• The characterization of functions arising as potentials
• Sharp local well-posedness of KdV type equations with dissipative perturbations
• Introduction to nonlinear dispersive equations

This page was built for publication: The IVP for a nonlocal perturbation of the Benjamin-Ono equation in classical and weighted Sobolev spaces