Asymptotic lower bound for the radius of spatial analyticity to solutions of KdV equation
From MaRDI portal
Publication:5244373
DOI10.1142/S021919971850061XzbMath1425.35176arXiv1707.07810OpenAlexW2962715807MaRDI QIDQ5244373
Publication date: 21 November 2019
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.07810
KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for higher-order hyperbolic equations (35L30)
Related Items
On the radius of spatial analyticity for the Klein-Gordon-Schrödinger system ⋮ Fixed analytic radius lower bound for the dissipative KdV equation on the real line ⋮ Cauchy theory for the water waves system in an analytic framework ⋮ Lower bounds on the radius of spatial analyticity of solution for KdV-BBM type equations ⋮ Lower bounds on the radius of spatial analyticity for the higher order nonlinear dispersive equation on the real line ⋮ Lower bounds on the radius of spatial analyticity for the Kawahara equation ⋮ On the radius of spatial analyticity for defocusing nonlinear Schrödinger equations ⋮ Nondecreasing analytic radius for the KdV equation with a weakly damping ⋮ Remark on the persistence of spatial analyticity for cubic nonlinear Schrödinger equation on the circle ⋮ Lower bound on the radius of analyticity of solution for fifth order KdV-BBM equation ⋮ On the persistence of spatial analyticity for the beam equation ⋮ Improved lower bounds of analytic radius for the Benjamin-Bona-Mahony equation
Cites Work
- Unnamed Item
- Unnamed Item
- On the domain of analyticity of solutions to semilinear Klein-Gordon equations
- Lower bounds on the radius of spatial analyticity for the KdV equation
- Gevrey regularity of the periodic gKdV equation
- Analyticity of solutions for a generalized Euler equation
- Analytic well-posedness of periodic gKdV
- Global wellposedness of KdV in \(H^{-1}(\mathbb T,\mathbb R)\)
- Global well-posedness and inviscid limit for the Korteweg-de Vries-Burgers equation
- Global well-posedness of Korteweg-de Vries equation in \(H^{-3/4}(\mathbb R)\)
- Well-posedness of KdV with higher dispersion
- Nonlinear evolution equations and analyticity. I
- On the radius of spatial analyticity for the quartic generalized KdV equation
- On the ill-posedness of some canonical dispersive equations.
- Local well-posedness of the generalized Korteweg-de Vries equation in spaces of analytic functions
- Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schrödinger equation
- Gevrey regularizing effect for the (generalized) Korteweg-de Vries equation and nonlinear Schrödinger equations
- The Cauchy problem of a periodic higher order KdV equation in analytic Gevrey spaces
- On the radius of analyticity of solutions to the cubic Szegő equation
- On the radius of spatial analyticity for cubic nonlinear Schrödinger equations
- On persistence of spatial analyticity for the dispersion-generalized periodic KdV equation
- Decay estimates for a class of wave equations
- Global well-posedness of the Maxwell-Dirac system in two space dimensions
- On the radius of spatial analyticity for the 1d Dirac-Klein-Gordon equations
- Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation
- Global existence of small analytic solutions to nonlinear Schrödinger equations
- Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
- Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
- Editorial board
- Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
- Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
- A bilinear estimate with applications to the KdV equation
- On the domain of analyticity for solutions of second order analytic nonlinear differential equations
