On the propagation of regularity for solutions of the fractional Korteweg-de Vries equation
From MaRDI portal
Publication:2202241
DOI10.1016/j.jde.2020.06.027zbMath1450.35236arXiv1902.08296OpenAlexW3039050901MaRDI QIDQ2202241
Publication date: 18 September 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.08296
Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)
Related Items (15)
Local well-posedness for a fractional KdV-type equation ⋮ On some regularity properties for the dispersive generalized Benjamin-Ono-Zakharov-Kuznetsov equation ⋮ Dissipation-preserving Fourier pseudo-spectral method for the space fractional nonlinear sine-Gordon equation with damping ⋮ On Kato's smoothing effect for a fractional version of the Zakharov-Kuznetsov equation ⋮ On the properties in solutions of the Shrira equation ⋮ Propagation of regularity for solutions to a Kawahara equation in two spatial dimensions ⋮ 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 ⋮ A reduced Galerkin finite element formulation based on proper orthogonal decomposition for the generalized KDV-RLW-Rosenau equation ⋮ On the propagation of regularity for solutions of the Zakharov–Kuznetsov equation ⋮ Unconditional convergence of conservative spectral Galerkin methods for the coupled fractional nonlinear Klein-Gordon-Schrödinger equations ⋮ Higher-dimensional integrable deformations of the modified KdV equation ⋮ Unnamed Item ⋮ On persistence properties in weighted spaces for solutions of the fractional Korteweg–de Vries equation ⋮ On the modified fractional Korteweg–de Vries and related equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
- Remarks on the orbital stability of ground state solutions of fKdV and related equations
- Improvement of the energy method for strongly nonresonant dispersive equations and applications
- On the propagation of regularities in solutions of the Benjamin-Ono equation
- Smoothing properties and existence of solutions for the generalized Benjamin-Ono equation
- On well-posedness for some dispersive perturbations of Burgers' equation
- On special regularity properties of solutions of the Zakharov-Kuznetsov equation
- On Kato-Ponce and fractional Leibniz
- On an endpoint Kato-Ponce inequality.
- A numerical approach to blow-up issues for dispersive perturbations of Burgers' equation
- On the propagation of regularity for solutions of the dispersion generalized Benjamin-Ono equation
- On the Propagation of Regularity of Solutions of the Kadomtsev--Petviashvili 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
- Classical Fourier Analysis
- Commutator estimates and the euler and navier-stokes equations
- The initial-value problem for the Korteweg-de Vries equation
- On the Generalized Benjamin-Ono Equation
- On the regularity of solutions to the 𝑘-generalized Korteweg-de Vries equation
- Stability properties of solitary waves for fractional KdV and BBM equations
- Dispersive Perturbations of Burgers and Hyperbolic Equations I: Local Theory
- COMMUTATORS OF SINGULAR INTEGRAL OPERATORS
- Introduction to nonlinear dispersive equations
This page was built for publication: On the propagation of regularity for solutions of the fractional Korteweg-de Vries equation
