On asymptotic stability of stationary solutions to nonlinear wave and Klein-Gordon equations

DOI10.1007/BF00379535zbMath0863.35064OpenAlexW2148308376MaRDI QIDQ1815418

Alexander I. Komech, Boris Vainberg

Publication date: 12 December 1996

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00379535

zbMATH Keywords

Lyapunov conditionlocal energy norms

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (11)

Global attractor for a nonlinear oscillator coupled to the Klein-Gordon field ⋮ Asymptotic stability of the vacuum solution for one‐dimensional nonlinear Klein‐Gordon equations with a perturbed one‐gap periodic potential with and without an eigenvalue ⋮ On global attraction to solitary waves for the Klein-Gordon field coupled to several nonlinear oscillators ⋮ Hylomorphic solitons ⋮ A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator ⋮ Global attractor for 1D Dirac field coupled to nonlinear oscillator ⋮ Inverse scattering for the nonlinear schrodinger equation ⋮ On transitions to stationary states in Hamiltonian nonlinear wave equations ⋮ Boris Rufimovich Vainberg ⋮ Global attraction to solitary waves for Klein-Gordon equation with mean field interaction ⋮ Existence of a global attractor for semilinear dissipative wave equations on \(\mathbb{R}^N\)

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