Dynamic bilateral boundary conditions on interfaces
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2011
- DOI:
- 10.48550/arXiv.1105.4548
- arXiv:
- arXiv:1105.4548
- Bibcode:
- 2011arXiv1105.4548C
- Keywords:
-
- Mathematics - Analysis of PDEs;
- 35J87;
- 49M25;
- 78A70
- E-Print:
- 31 pages, 1 figure