On the domain of analyticity of solutions to semilinear Klein-Gordon equations

DOI10.1016/j.na.2011.11.031zbMath1237.35116OpenAlexW2043999157MaRDI QIDQ412763

Stefano Panizzi

Publication date: 4 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.11.031

zbMATH Keywords

analytical solutionssemilinear Klein-Gordon equationanalyticity radiusGevrey class regularitytemporal asymptotics

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Analyticity in context of PDEs (35A20) Second-order semilinear hyperbolic equations (35L71)

Related Items (16)

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 ⋮ Numerical analysis of Fourier pseudospectral methods for the Klein-Gordon equation with smooth potentials. Fourier pseudospectral methods for Klein-Gordon equation ⋮ 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 the quartic generalized KdV equation ⋮ 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 ⋮ New lower bounds on the radius of spatial analyticity for the KdV equation ⋮ On the radius of spatial analyticity for defocusing nonlinear Schrödinger equations ⋮ On the radius of spatial analyticity for the 1d Dirac-Klein-Gordon 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 ⋮ Asymptotic lower bound for the radius of spatial analyticity to solutions of KdV equation

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