On the propagation of regularity for solutions of the dispersion generalized Benjamin-Ono equation

DOI10.2140/apde.2020.13.2399zbMath1462.35339arXiv1901.00823OpenAlexW2908267574MaRDI QIDQ2657032

A. Mendez

Publication date: 17 March 2021

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.00823

zbMATH Keywords

well-posednesspropagation of regularityrefined Strichartzdispersive generalized Benjamin-Ono equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (8)

Local well-posedness for a fractional KdV-type equation ⋮ On some regularity properties for the dispersive generalized Benjamin-Ono-Zakharov-Kuznetsov equation ⋮ On Kato's smoothing effect for a fractional version of the Zakharov-Kuznetsov equation ⋮ On the properties in solutions of the Shrira equation ⋮ Asymptotic \(N\)-soliton-like solutions of the fractional Korteweg-de Vries equation ⋮ The existence of weak solutions and propagation regularity for a generalized KdV system ⋮ On the propagation of regularity for solutions of the Zakharov–Kuznetsov equation ⋮ On the propagation of regularity for solutions of the fractional Korteweg-de Vries equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Smoothing of commutators for a Hörmander class of bilinear pseudodifferential operators
• On the long time behavior of a generalized KdV equation
• On the global well-posedness of the Benjamin-Ono equation
• On global well-posedness for a class of nonlocal dispersive wave equations
• On the propagation of regularities in solutions of the Benjamin-Ono equation
• Smoothing properties and existence of solutions for the generalized Benjamin-Ono equation
• Spectral theory and differential equations. Proceedings of the symposium held at Dundee, Scotland, 1-19 July, 1974
• Remarks on the Korteweg-de Vries equation
• On the local well-posedness of the Benjamin-Ono and modified Benjamin-Ono equations
• On special regularity properties of solutions of the Zakharov-Kuznetsov equation
• On Kato-Ponce and fractional Leibniz
• On the regularity of solutions to a class of nonlinear dispersive equations
• Propagation of regularity and persistence of decay for fifth order dispersive models
• Ill-Posedness Issues for the Benjamin--Ono and Related Equations
• On the Propagation of Regularity of Solutions of the Kadomtsev--Petviashvili Equation
• The Kato-Ponce Inequality
• A Para-Differential Renormalization Technique for Nonlinear Dispersive Equations
• The scattering transform for the Benjamin-Ono equation
• On the Propagation of Regularity and Decay of Solutions to thek-Generalized Korteweg-de Vries Equation
• On the decay properties of solutions to a class of Schrödinger equations
• Commutator estimates and the euler and navier-stokes equations
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• On the Generalized Benjamin-Ono Equation
• On the regularity of solutions to the 𝑘-generalized Korteweg-de Vries equation
• The Inverse Scattering Transform for the Benjamin‐Ono Equation—A Pivot to Multidimensional Problems
• Dispersive Perturbations of Burgers and Hyperbolic Equations I: Local Theory
• COMMUTATORS OF SINGULAR INTEGRAL OPERATORS

This page was built for publication: On the propagation of regularity for solutions of the dispersion generalized Benjamin-Ono equation