Global well-posedness for the nonlinear wave equation in analytic Gevrey spaces
DOI10.1016/j.jde.2020.11.038zbMath1455.35209arXiv1909.11998OpenAlexW4288102463MaRDI QIDQ828290
Alejandro J. Castro, Daniel Oliveira da Silva
Publication date: 8 January 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.11998
Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
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- Lower bounds on the radius of spatial analyticity for the KdV equation
- Global analyticity for a generalized Camassa-Holm equation and decay of the radius of spatial analyticity
- Analytic well-posedness of periodic gKdV
- Global solutions of the derivative Schrödinger equation in a class of functions analytic in a strip
- Gevrey class regularity for the solutions of the Navier-Stokes equations
- The Thirring model in spaces of analytic functions
- Local well-posedness of the generalized Korteweg-de Vries equation in spaces of analytic functions
- On existence and scattering with minimal regularity for semilinear wave equations
- Local well-posedness for the periodic Korteweg-de Vries equation in analytic Gevrey classes
- Gevrey-modulation spaces and smoothing effect for the system of nonlinear Schrödinger equations
- Analytic smoothing effect for nonlinear Schrödinger equation with quintic nonlinearity
- The Cauchy problem of a periodic higher order KdV equation in analytic Gevrey spaces
- Anisotropic Gevrey regularity for mKdV on the circle
- 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 1d Dirac-Klein-Gordon equations
- Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation
- Well-posedness and regularity of the generalized Burgers equation in periodic Gevrey spaces
- A result on a Dirac-type equation in spaces of analytic functions
- Classical Fourier Analysis
- The Derivative Nonlinear Schrödinger Equation in Analytic Classes
- Persistency of Analyticity for Nonlinear Wave Equations: An Energy-like Approach
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