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Titlebook: Boundary Value Problems and Markov Processes; Functional Analysis Kazuaki Taira Book 2020Latest edition Springer Nature Switzerland AG 202

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Elliptic Waldenfels Operators and Maximum Principlesudo-differential operators..In this chapter, following Bony–Courrège–Priouret [.] we prove various maximum principles for second-order, elliptic Waldenfels operators which play an essential role throughout the book.
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Proofs of Theorem 1.5, Part (ii) and Theorem 1.6n 13.1 general existence theorems for Feller semigroups are formulated in terms of elliptic boundary value problems with spectral parameter (Theorem 13.4). In Section 13.1 we study Feller semigroups with reflecting barrier (Theorem 13.17) and then, by using these Feller semigroups we construct Felle
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