Wentzell boundary conditions in the nonsymmetric case

Authors

A. Favini, Alma Mater Studiorum Università di BolognaFollow
G. R. Goldstein, University of MemphisFollow
J. A. Goldstein, University of MemphisFollow
S. Romanelli, Università degli studi di Bari Aldo Moro

Abstract

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.

Publication Title

Mathematical Modelling of Natural Phenomena

Recommended Citation

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