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Feller Semigroups with an Oblique Derivative Condition

Kazuaki Taira ()
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Kazuaki Taira: University of Tsukuba, The College of Mathematics

Chapter Chapter 23 in Real Analysis Methods for Markov Processes, 2024, pp 605-621 from Springer

Abstract: Abstract ThisFeller semigroup chapterOblique derivative boundary condition is devoted to the proof of Theorem 1.3 . Namely, we prove that the closed realization $$\mathfrak {A}_{N}$$ A N is the infinitesimal generator of a Feller semigroup on $$C(\overline{\Omega })$$ C ( Ω ¯ ) associated with absorption, reflection and drift phenomena at the boundary (see Fig. 1.7 ).

Date: 2024
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DOI: 10.1007/978-981-97-3659-1_23

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