Global Well-Posedness and Exponential Stability for Heterogeneous Anisotropic Maxwell's Equations under a Nonlinear Boundary Feedback with Delay

Autor:	Anikushyn, Andrii, Pokojovy, Michael
Rok vydání:	2018
Předmět:	Mathematics - Analysis of PDEs 35Q61 35L50 35L60 35B40 39B99 35A01 35A02 35B37 93C20 93C23
Druh dokumentu:	Working Paper
Popis:	We consider an initial-boundary value problem for the Maxwell's system in a bounded domain with a linear inhomogeneous anisotropic instantaneous material law subject to a nonlinear Silver-Muller-type boundary feedback mechanism incorporating both an instantaneous damping and a time-localized delay effect. By proving the maximal monotonicity property of the underlying nonlinear generator, we establish the global well-posedness in an appropriate Hilbert space. Further, under suitable assumptions and geometric conditions, we show the system is exponentially stable. Comment: updated and improved version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1807.00098 Zobrazit plný text záznamu View this record from Arxiv