Low regularity for the higher order nonlinear dispersive equation in Sobolev spaces of negative index
From MaRDI portal
Publication:1739089
DOI10.1007/s10884-018-9669-8zbMath1421.35043OpenAlexW2801035063WikidataQ115383451 ScholiaQ115383451MaRDI QIDQ1739089
Zhen-Hai Liu, Song-Hua Li, Ming-Bao Sun, Zai-Yun Zhang
Publication date: 25 April 2019
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-018-9669-8
Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53)
Related Items (8)
Properties of the support of solutions of a class of nonlinear evolution equations ⋮ Lower bounds on the radius of spatial analyticity for the higher order nonlinear dispersive equation on the real line ⋮ Local well-posedness and time regularity for a fifth-order shallow water equations in analytic Gevrey-Bourgain spaces ⋮ Well-posedness of the classical solutions for a Kawahara-Korteweg-de Vries-type equation ⋮ A trilinear estimate with application to the perturbed nonlinear Schrödinger equations with the Kerr law nonlinearity ⋮ On the solutions for a Benney-Lin type equation ⋮ Long time behavior of solutions to the damped forced generalized Ostrovsky equation below the energy space ⋮ Global H4 solution for the fifth-order Kudryashov–Sinelshchikov–Olver equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global well-posedness and I method for the fifth order Korteweg-de Vries equation
- The Cauchy problem for the modified Kawahara equation in Sobolev spaces with low regularity
- Almost conservation laws and global rough solutions of the defocusing nonlinear wave equation on \(\mathbb R^2\)
- On the Cauchy problem for the generalized shallow water wave equation
- On the Cauchy problem for higher-order nonlinear dispersive equations
- Low regularity solution for a nonlocal perturbation of KdV equation
- Well-posedness for the fifth-order shallow water equations
- Global well-posedness of Korteweg-de Vries equation in \(H^{-3/4}(\mathbb R)\)
- Low regularity solutions of two fifth-order KdV type equations
- The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
- Existence of periodic traveling wave solution to the forced generalized nearly concentric Korteweg-de Vries equation
- Strichartz estimates for dispersive equations and solvability of the Kawahara equation
- Uniform decay estimates for a class of oscillatory integrals and applications
- Global existence of solutions for the Kawahara equation in Sobolev spaces of negative indices
- Global existence of solutions for the Cauchy problem of the Kawahara equation with \(L^2\) initial data
- The Cauchy problem for the fifth order shallow water equation
- Local and global existence of solutions of initial value problems of nonlinear Kaup-Kupershmidt equations
- Local and global existence of solutions to initial value problems of modified nonlinear Kawahara equations
- Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
- On the Unique Continuation Property for the Modified Kawahara Equation
- The Cauchy problem for Kawahara equation in Sobolev spaces with low regularity
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- Higher-Order Nonlinear Dispersive Equations
- On the Cauchy Problem for the Generalized Korteweg-de Vries Equation
- Well-posedness and unique continuation property for the solutions to the generalized Kawahara equation below the energy space
- Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
- A bilinear estimate with applications to the KdV equation
- Well‐posedness and unique continuation property for the generalized Ostrovsky equation with low regularity
This page was built for publication: Low regularity for the higher order nonlinear dispersive equation in Sobolev spaces of negative index
