Nonlinear damped partial differential equations and their uniform discretizations
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Publication:526858
DOI10.1016/j.jfa.2017.03.010zbMath1364.37155arXiv1506.04163OpenAlexW2963459580MaRDI QIDQ526858
Yannick Privat, Fatiha Alabau-Boussouira, Emmanuel Trélat
Publication date: 15 May 2017
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.04163
Stabilization of systems by feedback (93D15) Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70) First-order nonlinear hyperbolic equations (35L60) Stability problems for infinite-dimensional dissipative dynamical systems (37L15)
Related Items (16)
Exponential stability of a general slope limiter scheme for scalar conservation laws subject to a dissipative boundary condition ⋮ Boundary stabilisation of the wave equation in the presence of singularities ⋮ Stability for the Mixed Problem Involving the Wave Equation, with Localized Damping, in Unbounded Domains with Finite Measure ⋮ Uniform decay rate estimates for the semilinear wave equation in inhomogeneous medium with locally distributed nonlinear damping ⋮ Spectral inequality and resolvent estimate for the bi-Laplace operator ⋮ Oblique projection local feedback stabilization of nonautonomous semilinear damped wave-like equations ⋮ Stabilization of the wave equation through nonlinear Dirichlet actuation ⋮ Fast optimization via inertial dynamics with closed-loop damping ⋮ Uniform decay estimates for the semi-linear wave equation with locally distributed mixed-type damping via arbitrary local viscoelastic versus frictional dissipative effects ⋮ Characterization by observability inequalities of controllability and stabilization properties ⋮ Discrete energy behavior of a damped Timoshenko system ⋮ Uniform stabilization for the coupled semi-linear wave and beam equations with distributed nonlinear feedback ⋮ Stability for semilinear hyperbolic coupled system with frictional and viscoelastic localized damping ⋮ Asymptotic stability for a strongly coupled Klein-Gordon system in an inhomogeneous medium with locally distributed damping ⋮ Decay of approximate solutions for the damped semilinear wave equation on a bounded 1d domain ⋮ Stabilization of the damped plate equation under general boundary conditions
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