Stabilization of semilinear heat equations, with fading memory, by boundary feedbacks

DOI10.1016/j.jde.2015.02.010zbMath1314.45011OpenAlexW2073599219MaRDI QIDQ2342718

Ionuţ Munteanu

Publication date: 29 April 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.02.010

zbMATH Keywords

stabilizationLaplace operatorspectral decompositionfeedback controllerheat equation with memory

Mathematics Subject Classification ID

Related Items (12)

Stabilisation of parabolic semilinear equations ⋮ Design of boundary stabilizers for the non-autonomous cubic semilinear heat equation driven by a multiplicative noise ⋮ Local stabilization of viscous Burgers equation with memory ⋮ Mittag-Leffler stability for a fractional Euler-Bernoulli problem ⋮ The stability and exponential stabilization of the heat equation with memory ⋮ Boundary feedback stabilization of Fisher's equation ⋮ Exponential stabilization of the stochastic Burgers equation by boundary proportional feedback ⋮ Stabilization of stochastic parabolic equations with boundary-noise and boundary-control ⋮ Boundary stabilization of the stochastic heat equation by proportional feedbacks ⋮ Boundary sampled-data feedback stabilization for parabolic equations ⋮ Boundary stabilisation to non-stationary solutions for deterministic and stochastic parabolic-type equations ⋮ Stabilisation of a linearised Cahn–Hilliard system for phase separation by proportional boundary feedbacks

Cites Work

• Unnamed Item
• Lack of controllability of the heat equation with memory
• Second-gradient viscoelastic fluids: dissipation principle and free energies
• Existence and asymptotic behavior for hereditary stochastic evolution equations
• Exponential asymptotic stability for scalar linear Volterra equations
• Boundary feedback stabilizability of parabolic equations
• Asymptotic behavior of a semilinear problem in heat conduction with memory
• Elliptic partial differential equations of second order
• Optimal control for evolution equations with memory
• Abstract settings for tangential boundary stabilization of Navier--Stokes equations by high- and low-gain feedback controllers.
• A general theory of heat conduction with finite wave speeds
• Asymptotic stability in viscoelasticity
• On necessary and sufficient conditions for exponential stability in linear Volterra integro-differential equations
• Remarks on non controllability of the heat equation with memory
• Boundary Stabilization of Equilibrium Solutions to Parabolic Equations
• On trajectory and global attractors for semilinear heat equations with fading memory
• Asymptotic Behavior of Linear Integrodifferential Systems
• Sharp regularity theory for elastic and thermoelastic Kirchhoff equations with free boundary conditions
• Controllability of the heat equation with memory
• Asymptotic behavior of a nonlinear hyperbolic heat equation with memory

This page was built for publication: Stabilization of semilinear heat equations, with fading memory, by boundary feedbacks