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On the Existence of Feller Semigroups with Boundary Conditions, II

โœ Scribed by K. Taira

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
613 KB
Volume
129
Category
Article
ISSN
0022-1236

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โœฆ Synopsis

This paper is devoted to the functional analytic approach to the problem of construction of Feller semigroups with Ventcel' (Wentzell) boundary conditions. The problem of construction of Feller semigroups has never before been sludied in the characteristic case. In this paper we consider the characteristic case. Intuitively, our result may be stated as follows: We can construct a Feller semigroup corresponding to such a diffusion phenomenon that one of the reflection and viscosity phenomena occurs at each point of the boundary. "1945 Academic Press. Inc.

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