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On maximum principles for diffusion in the presence of three diffusion paths

Published online by Cambridge University Press:  17 February 2009

Alexander I. Lee  and
James M. Hill
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Abstract

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This note examines maximum principles for systems of parabolic partial differential equations describing diffusion in the presence of three diffusion paths. The particular system under consideration arises from a random walk model. For a more general system constraints on the various constants are given which guarantee maximum principles. Remarkably, the physical system arising from the random walk model automatically satisfies these constraints.

Type
Research Article
Information
The ANZIAM Journal , Volume 24 , Issue 4 , April 1983 , pp. 417 - 423
Copyright
Copyright © Australian Mathematical Society 1983

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