Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions

DOI10.3934/eect.2020061zbMath1480.35372arXiv1812.03803OpenAlexW3036018062MaRDI QIDQ2062160

Martin Spitz, Roland Schnaubelt

Publication date: 24 December 2021

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.03803

zbMATH Keywords

blow-up criterioncontinuous dependencelocal wellposednessabsorbing or impedance boundary conditionsnonlinear Maxwell system

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50) Maxwell equations (35Q61)

Related Items (3)

Normal trace inequalities and decay of solutions to the nonlinear Maxwell system with absorbing boundary ⋮ Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions ⋮ Boundary stabilization of quasilinear Maxwell equations

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