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arxiv: 1406.6190 · v1 · pith:JPK53L2Inew · submitted 2014-06-24 · 🧮 math.AP

On nonexistence of Feller semigroups in the nontransversal case

classification 🧮 math.AP
keywords continuousfellersemigroupadmitboundarycaseclosureconditions
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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).

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