A note on energy decay of solutions to a nonlinear system in electromagnetism

DOI10.1006/jmaa.2001.7568zbMath0991.35094OpenAlexW2007006178MaRDI QIDQ5949590

Frank Jochmann

Publication date: 1 September 2002

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

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7568

zbMATH Keywords

Maxwell equationsenergy decay

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic theory (general) (78A25)

Related Items (1)

Orthogonal decomposition and asymptotic behavior for nonlinear Maxwell's equations

Cites Work

• Stabilization of trajectories for some weakly damped hyperbolic equations
• Semigroups of linear operators and applications to partial differential equations
• Stabilization of the wave equation with localized nonlinear damping
• On a singular limit problem for nonlinear Maxwell's equations
• Exponential energy decay estimate for the solutions of internally damped wave equation in a bounded domain
• Decay of solutions of the wave equation with a local nonlinear dissipation
• Asymptotic behaviour of solutions to a class of semilinear hyperbolic systems in arbitrary domains
• Energy decay of solutions of maxwell's equations in bounded domains
• Weak asymptotic decay via a “relaxed invariance principle” for a wave equation with nonlinear, non-monotone damping
• Shorter Notes: Strongly Continuous Semigroups, Weak Solutions, and the Variation of Constants Formula
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