Dimension of attractor for damped sine-Gordon equation with Neumann or periodic boundary conditions

DOI10.1007/s000130050505zbMath0980.35037OpenAlexW2004608464MaRDI QIDQ5941614

Shu Zhu, Guan-xiang Wang

Publication date: 20 August 2001

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050505

Mathematics Subject Classification ID

Attractors (35B41) Initial-boundary value problems for second-order hyperbolic equations (35L20) KdV equations (Korteweg-de Vries equations) (35Q53) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Second-order nonlinear hyperbolic equations (35L70)

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One-dimensional random attractor and rotation number of the stochastic damped sine-Gordon equation ⋮ 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

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