Sharp Kato smoothing properties of weakly dissipated KdV equations with variable coefficients on a periodic domain
From MaRDI portal
Publication:2098867
DOI10.3934/dcds.2022140zbMath1502.35148OpenAlexW4313179197MaRDI QIDQ2098867
Bing-Yu Zhang, Xin Yang, Ning Zhong, Shu Ming Sun
Publication date: 22 November 2022
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2022140
Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10)
Cites Work
- Unnamed Item
- Unnamed Item
- Boundary stabilization of the Korteweg-de Vries equation and the Korteweg-de Vries-Burgers equation
- Control and stabilization of the Korteweg-de Vries equation: recent progresses
- On the Korteweg-de Vries equation
- Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane
- The initial-boundary-value problem for the 1D nonlinear Schrödinger equation on the half-line.
- Semigroups of linear operators and applications to partial differential equations
- Regularity of solutions to the Schrödinger equation
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
- On the (generalized) Korteweg-de Vries equation
- Smoothing and decay properties of solutions of the Korteweg-de Vries equation on a periodic domain with point dissipation
- Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications
- Interpolation non linéaire et régularité
- A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane
- Boundary Controllability of the Korteweg--de Vries Equation on a Bounded Domain
- Local Smoothing Properties of Dispersive 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
- A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain
- Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
- THE GENERALIZED KORTEWEG–DE VRIES EQUATION ON THE HALF LINE
- Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
- A bilinear estimate with applications to the KdV equation
- Kato smoothing properties of a class of nonlinear dispersive wave equations on a periodic domain
- Control and stabilization of the periodic fifth order Korteweg-de Vries equation
- Well-posedness of fully nonlinear KdV-type evolution equations
- Control and stabilization of the Benjamin-Ono equation on a periodic domain
- On sharpness of the local Kato-smoothing property for dispersive wave equations
- Dispersion vs. anti-diffusion: Well-posedness in variable coefficient and quasilinear equations of KdV-type
- The Initial-Boundary Value Problem for the Korteweg–de Vries Equation
This page was built for publication: Sharp Kato smoothing properties of weakly dissipated KdV equations with variable coefficients on a periodic domain