Calculus of Variations and Geometric Measure Theory
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E. Francini - G. Franzina - S. Vessella

Existence and Regularity of Eddy Currents System with non-smooth conductivity

created by franzina on 24 Jan 2020
modified on 04 Feb 2020

[BibTeX]

Submitted Paper

Inserted: 24 jan 2020
Last Updated: 4 feb 2020

Year: 2020

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 Hölder estimates for the magnetic part.


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