Long range scattering for the complex-valued Klein-Gordon equation with quadratic nonlinearity in two dimensions
DOI10.1016/j.matpur.2020.03.009zbMath1444.35117arXiv1810.02158OpenAlexW3011751019MaRDI QIDQ2186683
Kota Uriya, Satoshi Masaki, Jun-Ichi Segata
Publication date: 9 June 2020
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.02158
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)
Related Items (3)
Cites Work
- Unnamed Item
- On space-time means and everywhere defined scattering operators for nonlinear Klein-Gordon equations
- Global small amplitude solutions for two-dimensional nonlinear Klein-Gordon systems in the presence of mass resonance
- A soluble relativistic field theory
- Nonlinear small data scattering for the wave and Klein-Gordon equation
- 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 scattering and everywhere defined scattering operators for nonlinear Klein-Gordon equations
- Low energy scttering for nonlinear Klein-Gordon equations
- Nonlinear scattering theory at low energy
- On the asymptotic behavior of solutions of semi-linear wave equations
- Long range scattering for the cubic Dirac equation on \(\mathbb{R}^{1+1}\).
- Modified scattering for the Klein-Gordon equation with the critical nonlinearity in three dimensions
- Existence of a minimal non-scattering solution to the mass-subcritical generalized Korteweg-de Vries equation
- Elliptic functions and applications
- Global existence of small solutions for quadratic quasilinear Klein-Gordon systems in two space dimensions
- Global existence and asymptotic behavior of solutions for the Klein-Gordon equations with quadratic nonlinearity in two space dimensions
- A note on the null condition for quadratic nonlinear Klein-Gordon systems in two space dimensions
- Final state problem for the cubic nonlinear Klein–Gordon equation
- Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions
- Normal forms and quadratic nonlinear Klein-Gordon equations
- Weighted Sobolev spaces applied to nonlinear Klein-Gordon equation
- Long Range Scattering for Nonlinear Schrödinger Equations with Critical Homogeneous Nonlinearity
- Modified scattering for the quadratic nonlinear Klein–Gordon equation in two dimensions
- Long-range scattering for nonlinear Schrödinger equations with critical homogeneous nonlinearity in three space dimensions
- Series expansions of symmetric elliptic integrals
- On the Asymptotic Behavior of Nonlinear Wave Equations
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