Dynamic bilateral boundary conditions on interfaces
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.