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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
Abstract
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.
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- Copyright © Australian Mathematical Society 1983