Static electromagnetic fields in monotone media

Volume 27 / 1992

Rainer Picard Banach Center Publications 27 (1992), 349-360 DOI: 10.4064/-27-2-349-360


The paper considers the static Maxwell system for a Lipschitz domain with perfectly conducting boundary. Electric and magnetic permeability ε and μ are allowed to be monotone and Lipschitz continuous functions of the electromagnetic field. The existence theory is developed in the framework of the theory of monotone operators.


  • Rainer Picard

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