Author : Kazuaki Taira
Publisher : American Mathematical Soc.
ISBN 13 : 0821825356
Total Pages : 81 pages
Book Rating : 4.8/5 (218 download)
Book Synopsis On the Existence of Feller Semigroups with Boundary Conditions by : Kazuaki Taira
Download or read book On the Existence of Feller Semigroups with Boundary Conditions written by Kazuaki Taira and published by American Mathematical Soc.. This book was released on 1992 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper is devoted to the functional analytic approach to the problem of construction of Feller semigroups with Ventcel' (Wentzell) boundary conditions. This paper considers the non-transversal case and solves from the viewpoint of functional analysis the problem of construction of Feller semigroups for elliptic Waldenfels operators. Intuitively, our result may be stated as follows: One can construct a Feller semigroup corresponding to such a diffusion phenomenon that a Markovian particle moves both by jumps and continuously in the state space until it "dies" at which time it reaches the set where the absorption phenomenon occurs.