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Minimal coupled diffusion process

Minimal coupled diffusion process An attempt is made to classify the boundary of the coupled operator $$\Omega \left( {\Omega = \left( {\begin{array}{*{20}c} {\Omega _1 + c_{11} (x)c_{12} (x)} \\ {c_{21} (x)\Omega _2 + c_{22} (x)} \\ \end{array} } \right)} \right.,\left. {\Omega _\iota = \frac{d}{{dx}}a_i (x)\frac{d}{{dx}},b_i (x)\frac{d}{{dx}},i = 1,2} \right)$$ and to construct the corresponding minimal semigroup and minimal coupled diffusion process. The sample properties and the conservative conditions of the process are discussed also. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

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Publisher
Springer Journals
Copyright
Copyright © 1987 by Science Press, Beijing, China and Allerton Press, Inc. New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02112645
Publisher site
See Article on Publisher Site

Abstract

An attempt is made to classify the boundary of the coupled operator $$\Omega \left( {\Omega = \left( {\begin{array}{*{20}c} {\Omega _1 + c_{11} (x)c_{12} (x)} \\ {c_{21} (x)\Omega _2 + c_{22} (x)} \\ \end{array} } \right)} \right.,\left. {\Omega _\iota = \frac{d}{{dx}}a_i (x)\frac{d}{{dx}},b_i (x)\frac{d}{{dx}},i = 1,2} \right)$$ and to construct the corresponding minimal semigroup and minimal coupled diffusion process. The sample properties and the conservative conditions of the process are discussed also.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Aug 6, 2005

References