Convergence rates in the nonrelativistic limit of the cubic Klein-Gordon equation
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Publication:6621320
DOI10.1137/23m1572933MaRDI QIDQ6621320
Weizhu Bao, Zhifei Zhang, Yong Lu
Publication date: 18 October 2024
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Asymptotic expansions of solutions to PDEs (35C20) Geometric optics (78A05) Second-order semilinear hyperbolic equations (35L71)
Cites Work
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- Partially strong transparency conditions and a singular localization method in geometric optics
- A uniformly accurate (UA) multiscale time integrator Fourier pseudospectral method for the Klein-Gordon-Schrödinger equations in the nonrelativistic limit regime, A UA method for Klein-Gordon-schrodinger equation
- Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime
- The global Cauchy problem for the nonlinear Klein-Gordon equation
- The global Cauchy problem for the nonlinear Klein-Gordon equation. II
- Energy convergence for singular limits of Zakharov type systems
- Para-differential calculus and applications to the Cauchy problem for nonlinear systems
- Long range scattering for nonlinear Schrödinger equations in one space dimension
- Numerical solution of a nonlinear Klein-Gordon equation
- Transparent nonlinear geometric optics and Maxwell-Bloch equations.
- Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations
- Nonrelativistic limit of scattering theory for nonlinear Klein-Gordon equations
- A uniformly accurate multiscale time integrator spectral method for the Klein-Gordon-Zakharov system in the high-plasma-frequency limit regime
- From nonlinear Klein-Gordon equation to a system of coupled nonlinear Schrödinger equations
- On comparison of asymptotic expansion techniques for nonlinear Klein-Gordon equation in the nonrelativistic limit regime
- Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime
- Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)
- The short-wave limit for nonlinear, symmetric, hyperbolic systems
- Two asymptotic problems for a singular nonlinear Schrödinger system
- Nonrelativistic approximation of nonlinear Klein-Gordon equations in two space dimensions
- The nonrelativistic limit of the nonlinear Klein-Gordon equation
- FROM THE KLEIN–GORDON–ZAKHAROV SYSTEM TO THE NONLINEAR SCHRÖDINGER EQUATION
- Scattering for 𝐻̇^{1/2} bounded solutions to the cubic, defocusing NLS in 3 dimensions
- L∞C(ℝn)-decay of classical solutions for nonlinear Schrödinger equations
- Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
- Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ3
- A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein--Gordon Equation in the Nonrelativistic Limit Regime
- Decay and scattering of solutions of a nonlinear relativistic wave equation
- On decaying properties of nonlinear Schr\"odinger equations
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