Eigenvalue problems for the wave equation with strong damping

DOI10.1017/S0308210500023805zbMath0882.35080OpenAlexW2136944745MaRDI QIDQ4354106

Pedro Freitas

Publication date: 10 September 1997

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500023805

zbMATH Keywords

change of stabilitystability of the trivial solutiondimensions of the centre and unstable manifolds

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) General topics in linear spectral theory for PDEs (35P05) Second-order nonlinear hyperbolic equations (35L70)

Related Items (3)

Lyapunov functionals and stability for FitzHugh-Nagumo systems ⋮ Two-dimensional reaction-diffusion equations with memory ⋮ Optimal decay rates and the selfadjoint property in overdamped systems

Cites Work

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• Geometric theory of semilinear parabolic equations
• On some eigenvalue problems related to the wave equation with indefinite damping
• Limiting behavior of strongly damped nonlinear wave equations
• Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation
• On eigencurves of elliptic boundary value problems
• Longtime Behaviour of Strongly Damped Wave Equations, Global Attractors and Their Dimension
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary

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