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On nonexistence of Feller semigroups in the nontransversal case

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).

preprint2014arXivOpen access
Pavel Gurevich
math.AP
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Pavel Gurevich

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