Gurevich, P. L. On the non-existence of Feller semigroups in the non-transversal case. (English. Russian original) Zbl 1194.47048 Russ. Math. Surv. 63, No. 3, 565-566 (2008); translation from Usp. Mat. Nauk 63, No. 3, 159-160 (2008). This note presents three examples where (the closure of) an elliptic differential operator on a domain \(D\) of \({\mathbb R}^d\) with non-transversal non-local conditions is not the generator of a Feller semigroup. Reviewer: Vassilis G. Papanicolaou (Athena) Cited in 1 Document MSC: 47D07 Markov semigroups and applications to diffusion processes 60J35 Transition functions, generators and resolvents 47F05 General theory of partial differential operators (should also be assigned at least one other classification number in Section 47-XX) Keywords:Feller semigroup; elliptic differential operator; non-transversal non-local conditions PDF BibTeX XML Cite \textit{P. L. Gurevich}, Russ. Math. Surv. 63, No. 3, 565--566 (2008; Zbl 1194.47048); translation from Usp. Mat. Nauk 63, No. 3, 159--160 (2008) Full Text: DOI arXiv