Asymptotic behavior in time of solutions to complex-valued nonlinear Klein-Gordon equation in one space dimension
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Publication:1982566
DOI10.14492/hokmj/2018-938zbMath1473.35058OpenAlexW3196959888MaRDI QIDQ1982566
Publication date: 14 September 2021
Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2324/4763154
one space dimensionscattering problemcubic nonlinear Klein-Gordon equationlarge time asymptotic profile
Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)
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Cites Work
- A soluble relativistic field theory
- The initial value problem for the cubic nonlinear Klein-Gordon equation
- Remarks on the asymptotic behavior of the cubic nonlinear Klein-Gordon equations in one space dimension.
- On the asymptotic behavior of solutions of semi-linear wave equations
- Lectures on nonlinear hyperbolic differential equations
- Long range scattering for the cubic Dirac equation on \(\mathbb{R}^{1+1}\).
- Global existence of small solutions for quadratic quasilinear Klein-Gordon systems in two space dimensions
- Long range scattering for the complex-valued Klein-Gordon equation with quadratic nonlinearity in two dimensions
- A remark on asymptotic completeness for the critical nonlinear Klein-Gordon equation
- Existence globale et comportement asymptotique pour l'équation de Klein–Gordon quasi linéaire à données petites en dimension 1
- Global existence and asymptotics for quasi-linear one-dimensional Klein-Gordon equations with mildly decaying Cauchy data
- On the Asymptotic Behavior of Nonlinear Wave Equations
- Nonlinear Spinor Fields
