New lower bounds on the radius of spatial analyticity for the KdV equation
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Publication:1733066
DOI10.1016/j.jde.2018.10.025zbMath1412.35298arXiv1804.01628OpenAlexW2963012486WikidataQ59891261 ScholiaQ59891261MaRDI QIDQ1733066
Publication date: 26 March 2019
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.01628
KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for higher-order hyperbolic equations (35L30)
Related Items (9)
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 ⋮ Lower bounds on the radius of spatial analyticity of solution for KdV-BBM type equations ⋮ Analyticity and observability for fractional order parabolic equations in the whole space ⋮ 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 ⋮ Improved lower bounds of analytic radius for the Benjamin-Bona-Mahony equation
Cites Work
- 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
- The domain of analyticity of solutions to the three-dimensional Euler equations in a half space
- Gevrey regularity of the periodic gKdV equation
- Well-posedness of the Cauchy problem for the Korteweg-de Vries equation at the critical regularity.
- Analytic well-posedness of periodic gKdV
- Solutions of the (generalized) Korteweg-de Vries equation in the Bergman and the Szegö spaces on a sector
- Global solutions of the derivative Schrödinger equation in a class of functions analytic in a strip
- A bilinear Airy-estimate with application to gKdV-3.
- Global well-posedness of Korteweg-de Vries equation in \(H^{-3/4}(\mathbb R)\)
- Nonlinear evolution equations and analyticity. I
- On the radius of spatial analyticity for the quartic generalized KdV equation
- Analyticity of solutions of the Korteweg-de Vries equation
- Local well-posedness of the generalized Korteweg-de Vries equation in spaces of analytic functions
- Local well-posedness for the periodic Korteweg-de Vries equation in analytic Gevrey classes
- Analyticity and smoothing effect for the Korteweg de Vries equation with a single point singularity
- 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
- Global attractor for weakly damped gKdV equations in higher Sobolev spaces
- A KdV-type Boussinesq system: From the energy level to analytic spaces
- On the radius of spatial analyticity for cubic nonlinear Schrödinger equations
- On persistence of spatial analyticity for the dispersion-generalized periodic KdV equation
- On the radius of spatial analyticity for semilinear symmetric hyperbolic systems
- 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
- Spatial Analyticity of Solutions to Integrable Systems. I. The KdV Case
- SPATIAL ANALYTICITY PROPERTIES OF NONLINEAR WAVES
- On the analyticity and Gevrey-class regularity up to the boundary for the Euler equations
- On the radius of analyticity of solutions to the three-dimensional Euler equations
- Analyticity of Solutions of the Korteweg–De Vries Equation
- 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
- Persistency of Analyticity for Nonlinear Wave Equations: An Energy-like Approach
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