Exponential decay of quasilinear Maxwell equations with interior conductivity

DOI10.1007/s00030-019-0595-1zbMath1447.35310arXiv1810.12390OpenAlexW2982569948MaRDI QIDQ2291738

Michael Pokojovy, Roland Schnaubelt, Irena Lasiecka

Publication date: 31 January 2020

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.12390

zbMATH Keywords

exponential stabilityglobal existenceboundary conditions of perfect conductorinhomogeneous anisotropic material lawsquasilinear Maxwell equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Maxwell equations (35Q61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for systems of nonlinear first-order PDEs (35F61)

Related Items (5)

Well-posedness and exponential stability of nonlinear Maxwell equations for dispersive materials with interface ⋮ Normal trace inequalities and decay of solutions to the nonlinear Maxwell system with absorbing boundary ⋮ Unnamed Item ⋮ Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions ⋮ Spectral analysis and domain truncation for Maxwell's equations

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