Feller Semigroups with Dirichlet Condition
Kazuaki Taira ()
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Kazuaki Taira: University of Tsukuba, The College of Mathematics
Chapter Chapter 22 in Real Analysis Methods for Markov Processes, 2024, pp 589-604 from Springer
Abstract:
Abstract ThisFeller semigroup chapter is devoted to the proof of Theorem 1.5 . Namely, we prove that the closed realization $$\mathfrak {A}_{D}$$ A D is the infinitesimal generator of a Feller semigroup on $$C_{0}(\overline{\Omega })$$ C 0 ( Ω ¯ ) associated with absorption phenomenon at the boundary.
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-97-3659-1_22
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DOI: 10.1007/978-981-97-3659-1_22
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