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Dynamic bilateral boundary conditions on interfaces (1105.4548v1)
Published 23 May 2011 in math.AP
Abstract: Two boundary value problems for an elliptic equation in divergence form with bounded discontinuous coefficient are studied in a bidomain. On the interface, generalized dynamic boundary conditions such as of the Wentzell-type and Signorini-type transmission are considered in a subdifferential form. Several non-constant coefficients and nonlinearities are the main objective of the present work. Generalized solutions are built via time discretization.
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