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Register a new userDetection of cavities in a nonlinear model arising from cardiac electrophysiology via $Gamma$-convergence
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In this paper we deal with the problem of determining perfectly insulating regions (cavities) from boundary measurements in a nonlinear elliptic equation arising from cardiac electrophysiology. With minimal regularity assumptions on the cavities, we first show well-posedness of the direct problem and then prove uniqueness of the inverse problem. Finally, we propose a new reconstruction algorithm by means of a phase-field approach rigorously justified via $Gamma$-convergence.
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