Weak attractor of the Klein-Gordon field in discrete space-time interacting with a nonlinear oscillator

DOI10.3934/dcds.2013.33.2711zbMath1277.39010arXiv1203.3233OpenAlexW2963039281MaRDI QIDQ379455

Andrew Komech

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.3233

zbMATH Keywords

finite-difference schemeslong-time asymptoticsweak attractors for dispersive equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Discrete version of topics in analysis (39A12) Finite difference methods for boundary value problems involving PDEs (65N06) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items (7)

Attractors of Hamilton nonlinear PDEs ⋮ On Solutions with Compact Spectrum to Nonlinear Klein--Gordon and Schrödinger Equations ⋮ On global attraction to solitary waves for the Klein–Gordon equation with concentrated nonlinearity ⋮ Attractors of nonlinear Hamiltonian partial differential equations ⋮ On global attraction to stationary states for wave equations with concentrated nonlinearities ⋮ Solutions with compact time spectrum to nonlinear Klein-Gordon and Schrödinger equations and the Titchmarsh theorem for partial convolution ⋮ On quantum jumps and attractors of the Maxwell-Schrödinger equations

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