Exponential decay for Maxwell equations with a boundary memory condition

DOI10.1016/j.jmaa.2004.08.004zbMath1067.35121OpenAlexW1965392149MaRDI QIDQ1763398

Sergio Polidoro, Roberta Nibbi

Publication date: 22 February 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.08.004

zbMATH Keywords

asymptotic behaviorMaxwell equationsBoundary memory condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic theory (general) (78A25)

Related Items (9)

Global well-posedness and exponential stability for heterogeneous anisotropic Maxwell's equations under a nonlinear boundary feedback with delay ⋮ On the Maxwell system under impedance boundary conditions with memory ⋮ Finite element approximation for Maxwell's equations with Debye memory under a nonlinear boundary feedback with delay ⋮ Global well-posedness and exponential stability for Maxwell's equations under delayed boundary condition in metamaterials ⋮ Kirchhoff plates with viscous boundary dissipation ⋮ On the exponential decay in thermoelasticity without energy dissipation and of type III in the presence of an absorbing boundary ⋮ Global existence for the three-dimensional thermoelastic equations of Type II ⋮ A viscous boundary condition with memory in linear elasticity ⋮ Stability and well posedness for a dissipative boundary condition with memory in electromagnetism

Cites Work

• Exponential asymptotic stability for scalar linear Volterra equations
• Semigroups of linear operators and applications to partial differential equations
• On wave equations with boundary dissipation of memory type
• A boundary condition with memory in electromagnetism
• Exact Boundary Controllability of Maxwell’s Equations in a General Region
• Existence and uniform decay of solutions of a degenerate equation with nonlinear boundary damping and boundary memory source term
• Stabilization and Exact Boundary Controllability for Maxwell’s Equations
• Asymptotic Decay for Some Differential Systems with Fading Memory
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