paper

On nonexistence of Feller semigroups in the nontransversal case

arXiv:1406.6190 · doi:10.1070/RM2008v063n03ABEH004541

Abstract

We give three examples of second-order elliptic operators with nonlocal boundary conditions of the Ventsel type that admit a closure in the space of continuous functions, but do not generate a Feller semigroup (i.e., a strongly continuous contractive nonnegative semigroup).

3 pages