Existence and regularity for eddy currents system with non-smooth conductivity

2019/07/23 by Francini, Elisa, Franzina, Giovanni, Vessella, Sergio
#35B65 #35M33 #35M60 #35Q61 #35R05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1907.09875

Abstract

We discuss the well-posedness of the 'transient eddy current' magneto-quasistatic approximation of Maxwell's initial value problem with bounded and measurable conductivity, with sources, on a domain. We prove existence and uniqueness of weak solutions, and we provide global Hoelder estimates for the magnetic part.

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