Decay and Asymptotics for the One-Dimensional Klein--Gordon Equation with Variable Coefficient Cubic Nonlinearities (Q5141945)

scientific article; zbMATH DE number 7289141

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English	Decay and Asymptotics for the One-Dimensional Klein--Gordon Equation with Variable Coefficient Cubic Nonlinearities	scientific article; zbMATH DE number 7289141

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instance of

scholarly article

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title

Decay and Asymptotics for the One-Dimensional Klein--Gordon Equation with Variable Coefficient Cubic Nonlinearities (English)

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SIAM Journal on Mathematical Analysis

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publication date

29 December 2020

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full work available at URL

https://arxiv.org/abs/1907.09922

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zbMATH Keywords

long-range scattering

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asymptotic stability of kink solutions

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MaRDI profile type

MaRDI publication profile

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cites work

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The nonlinear Schrödinger equation with a potential

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Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations

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The initial value problem for the cubic nonlinear Klein-Gordon equation

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Quadratic nonlinear Klein-Gordon equation in one dimension

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Lectures on nonlinear hyperbolic differential equations

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Minimal escape velocities

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Global bounds for the cubic nonlinear Schrödinger equation (NLS) in one space dimension

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Spectral properties of Schrödinger operators and time-decay of the wave functions results in $L^2(\mathbb{R}^m),\;m\geq 5$

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Spectral properties of Schrödinger operators and time-decay of the wave functions. Results in $L^ 2(R^ 4)$

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Spectral properties of Schrödinger operators and time-decay of the wave functions

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Decay estimates for Schrödinger operators

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A new proof of long-range scattering for critical nonlinear Schrödinger equations.

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Global existence for nonlinear wave equations

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Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions

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Remark on the asymptotic behavior of the klein gordon equation in ℝ<sup><i>n</i>+1</sup>

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Kink dynamics in the $\phi ^4$ model: Asymptotic stability for odd perturbations in the energy space

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On the lifespan of solutions of nonlinear wave equations with small initial data

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Global solutions of nonlinear wave equations

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The weak null condition for Einstein's equations.

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A remark on asymptotic completeness for the critical nonlinear Klein-Gordon equation

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A REMARK ON LONG RANGE SCATTERING FOR THE NONLINEAR KLEIN–GORDON EQUATION

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Scattering and small data completeness for the critical nonlinear Schrödinger equation

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Scattering for the Klein-Gordon equation with quadratic and variable coefficient cubic nonlinearities

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Local decay of scattering solutions to Schrödinger's equation

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Q5430053

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Normal forms and quadratic nonlinear Klein-Gordon equations

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Q5490997

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Dispersive decay for the 1D Klein-Gordon equation with variable coefficient nonlinearities

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Global existence and asymptotics for quasi-linear one-dimensional Klein-Gordon equations with mildly decaying Cauchy data

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Identifiers

zbMATH Open document ID

1455.35021

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DOI

10.1137/20M1323722

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:5141945