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DOI: 10.5445/IR/1000084158
Veröffentlicht am 03.07.2018

Globalwell-posedness and exponential stability for heterogeneous anisotropic Maxwell’s equations under a nonlinear boundary feedback with delay

Anikushyn, Andrii; Pokojovy, Michael

Abstract:
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–Müller-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.


Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Publikationstyp Forschungsbericht
Jahr 2018
Sprache Englisch
Identifikator ISSN: 2365-662X
URN: urn:nbn:de:swb:90-841585
KITopen ID: 1000084158
Verlag KIT, Karlsruhe
Umfang 24 S.
Serie CRC 1173 ; 2018/10
Schlagworte Maxwell’s equations; nonlinear boundary feedback; instantaneous damping; time-localized delay; well-posedness; exponential stability
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