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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.

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)
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