# 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

# Minimal coupled diffusion process

, Volume 3 (1) – Aug 6, 2005
12 pages

/lp/springer-journals/minimal-coupled-diffusion-process-cK2lKbZiuY
Publisher
Springer Journals
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

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