Energy decay of solutions of maxwell's equations in bounded domains

DOI10.1080/00036810008840843zbMath1025.78006OpenAlexW2072021187MaRDI QIDQ2729473

Frank Jochmann

Publication date: 22 July 2001

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810008840843

zbMATH Keywords

Maxwell's equationsasymptotic behaviourinitial boundary value problem

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Motion of charged particles (78A35)

Related Items (2)

A note on energy decay of solutions to a nonlinear system in electromagnetism ⋮ Orthogonal decomposition and asymptotic behavior for nonlinear Maxwell's equations

Cites Work

• An elementary proof for a compact imbedding result in generalized electromagnetic theory
• Stabilization of trajectories for some weakly damped hyperbolic equations
• Existence of weak solutions of the drift diffusion model coupled with Maxwell's equations
• Asymptotic behaviour of solutions to a class of semilinear hyperbolic systems in arbitrary domains
• Weak asymptotic decay via a “relaxed invariance principle” for a wave equation with nonlinear, non-monotone damping
• A local compactness theorem for Maxwell's equations
• A compactness result for vector fields with divergence and curl in L^q(ω) involving mixed boundary conditions
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