Stability Theory for the Damped Sine-Gordon Equation

DOI10.1137/0130026zbMath0326.35054OpenAlexW2014263904MaRDI QIDQ4090776

R. W. Dickey

Publication date: 1976

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0130026

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) First-order nonlinear hyperbolic equations (35L60)

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One-dimensional random attractor and rotation number of the stochastic damped sine-Gordon equation ⋮ Exact distributions, density functions and moments of the least squares estimator in a first-order autoregressive model ⋮ The adequacy of asymptotic approximations in the near-integrated autoregressive model with dependent errors ⋮ Funnel control for a class of nonlinear infinite-dimensional systems ⋮ Dimension of the universal attractor describing the periodically driven Sine-Gordon equations ⋮ On unique ergodicity in nonlinear stochastic partial differential equations ⋮ Asymptotic behavior of solutions of hyperbolic, semilinear partial differential equations ⋮ Sampled-data observers for semilinear damped wave equations under spatially sampled state measurements ⋮ An approximate sine-Gordon equation and its traveling wave solution in (\(n+1\))-dimensional space ⋮ Trajectories joining critical points ⋮ The distribution of the Durbin-Watson statistic in integrated and near-integrated models

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