On the existence, regularity and large time behavior of a two-dimensional parabolic-elliptic eddy current problem

Aldroubi, A.

doi:10.1090/qam/1052142

Author: A. Aldroubi
Journal: Quart. Appl. Math. 48 (1990), 371-385
MSC: Primary 35M10; Secondary 35Q35
DOI: https://doi.org/10.1090/qam/1052142
MathSciNet review: MR1052142
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Abstract: We consider a two-dimensional time-dependent eddy current model formulated as a parabolic-elliptic interface problem. Existence of solutions is established using Laplace transform techniques, potential theory and integral equations methods. Regularity results are shown, from which the existence of classical solutions follow. A large time behavior for the solution is established.

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