Global solutions of the derivative Schrödinger equation in a class of functions analytic in a strip

DOI10.1016/j.jde.2006.04.013zbMath1109.35103OpenAlexW2107838940MaRDI QIDQ855805

Henrik Kalisch, Zoran Grujić, Jerry L. Bona

Publication date: 7 December 2006

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2006.04.013

zbMATH Keywords

derivative nonlinear Schrödinger equationradius of analyticity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Analytic continuation of functions of one complex variable (30B40)

Related Items

On the radius of spatial analyticity for the Klein-Gordon-Schrödinger system ⋮ Global well-posedness for the nonlinear wave equation in analytic Gevrey spaces ⋮ A result on a Dirac-type equation in spaces of analytic functions ⋮ Local well-posedness for a quasilinear Schroedinger equation with degenerate dispersion ⋮ Analytic smoothing effect for global solutions to nonlinear Schrödinger equations ⋮ Fixed analytic radius lower bound for the dissipative KdV equation on the real line ⋮ Analytic smoothing effect for a system of Schrödinger equations with three wave interaction ⋮ Cauchy theory for the water waves system in an analytic framework ⋮ On the radius of spatial analyticity for cubic nonlinear Schrödinger equations ⋮ On persistence of spatial analyticity for the dispersion-generalized periodic KdV equation ⋮ Lower bounds on the radius of spatial analyticity of solution for KdV-BBM type equations ⋮ On the domain of analyticity of solutions to semilinear Klein-Gordon equations ⋮ Lower bounds on the radius of spatial analyticity for the higher order nonlinear dispersive equation on the real line ⋮ Small analytic solutions to the Hartree equation ⋮ Space-time analyticity of weak solutions to linear parabolic systems with variable coefficients ⋮ Lower bounds on the radius of spatial analyticity for the Kawahara equation ⋮ Analytic smoothing effect for nonlinear Schrödinger equation in two space dimensions ⋮ Global analytic solutions for the nonlinear Schrödinger equation ⋮ New lower bounds on the radius of spatial analyticity for the KdV equation ⋮ Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case ⋮ The Thirring model in spaces of analytic functions ⋮ Analytic smoothing effect for nonlinear Schrödinger equation with quintic nonlinearity ⋮ On the radius of analyticity of solutions to the three-dimensional Euler equations ⋮ On the radius of spatial analyticity for defocusing nonlinear Schrödinger equations ⋮ Nondecreasing analytic radius for the KdV equation with a weakly damping ⋮ Lower bound on the radius of analyticity of solution for fifth order KdV-BBM equation ⋮ On the radius of spatial analyticity for solutions of the Dirac-Klein-Gordon Equations in two space dimensions ⋮ On propagation of regularities and evolution of radius of analyticity in the solution of the fifth-order KdV-BBM model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gevrey class regularity for the solutions of the Navier-Stokes equations
• Nonlinear evolution equations and analyticity. I
• On the derivative nonlinear Schrödinger equation
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
• Remarks on nonlinear Schrödinger equations in one space dimension
• On the Cauchy problem for the Zakharov system
• Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity
• Gevrey regularizing effect for the (generalized) Korteweg-de Vries equation and nonlinear Schrödinger equations
• Analyticity and smoothing effect for the Korteweg de Vries equation with a single point singularity
• 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
• The initial value problem for the derivative nonlinear Schrödinger equation in the energy space
• Finite Energy Solutions of Nonlinear Schrödinger Equations of Derivative Type
• Quadratic forms for the 1-D semilinear Schrödinger equation
• The Derivative Nonlinear Schrödinger Equation in Analytic Classes

This page was built for publication: Global solutions of the derivative Schrödinger equation in a class of functions analytic in a strip