Wentzell boundary conditions in the nonsymmetric case
Let L be a nonsymmetric second order uniformly elliptic operator with generalWentzell boundary conditions. We show that a suitable version of L generates a quasicontractive semigroup on an Lp space that incorporates both the underlying domain and its boundary. This extends the earlier work of the authors on the symmetric case.
Mathematical Modelling of Natural Phenomena
Favini, A., Goldstein, G., Goldstein, J., & Romanelli, S. (2008). Wentzell boundary conditions in the nonsymmetric case. Mathematical Modelling of Natural Phenomena, 3 (7), 143-147. https://doi.org/10.1051/mmnp:2008046