Riv. Mat. Univ. Parma, Vol. 4, No. 1, 2013

Luisa Consiglieri

Dynamic bilateral boundary conditions on interfaces

Pages: 81-111
Received: 23 May 2012   
Accepted in revised form: 28 September 2012
Mathematics Subject Classification (2010): 35J87, 49M25, 78A70.

Keywords: Wentzell transmission, Signorini transmission, subdifferential, Rothe method.

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 nonconstant coefficients and nonlinearities are the main objective of the present work. Generalized solutions are built via time discretization.

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