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Waldenfels Operators and Maximum Principles

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Semigroups, Boundary Value Problems and Markov Processes

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Abstract

In this chapter, following Bony–Courrège–Priouret [BCP], we prove the weak and strong maximum principles and Hopf’s boundary point lemma for second-order elliptic Waldenfels operators which play an essential role throughout the book.

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References

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Taira, K. (2014). Waldenfels Operators and Maximum Principles. In: Semigroups, Boundary Value Problems and Markov Processes. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43696-7_8

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