Zero-dimensional global attractor of damped sine-Gordon equation

DOI10.1007/BF02677407zbMath0935.35140OpenAlexW2322267237MaRDI QIDQ1302264

Shengfan Zhou, Wen-Xin Qin

Publication date: 20 December 1999

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02677407

zbMATH Keywords

Lyapunov functionglobal attractorsine-Gordon equationequilibrium point

Mathematics Subject Classification ID

Attractors (35B41) KdV equations (Korteweg-de Vries equations) (35Q53) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30)

Related Items (2)

Exact solution to an approximate sine-Gordon equation in \((n+1)\)-dimensional space ⋮ An approximate sine-Gordon equation and its traveling wave solution in (\(n+1\))-dimensional space

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Global behavior in the dynamical equation
• Inertial manifolds of damped semilinear wave equations
• Inertial Manifolds for Reaction Diffusion Equations in Higher Space Dimensions

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