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Positive Reachability for Diffusion Equations

Positive Reachability for Diffusion Equations Counterexamples are constructed for some plausible conjectures. Typical of these: as the Maximum Principle ensures that positive boundary data give a positive state at time T from 0 initial data, one might (plausibly, but falsely) conjecture that all positive terminal states should be approximately reachable in this way, i.e., subject to the requirement that the boundary data stays nonnegative. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

Positive Reachability for Diffusion Equations

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References (16)

Publisher
Springer Journals
Copyright
Copyright © 2004 by Springer-Verlag
Subject
Philosophy
ISSN
0095-4616
eISSN
1432-0606
DOI
10.1007/s00245-004-0796-8
Publisher site
See Article on Publisher Site

Abstract

Counterexamples are constructed for some plausible conjectures. Typical of these: as the Maximum Principle ensures that positive boundary data give a positive state at time T from 0 initial data, one might (plausibly, but falsely) conjecture that all positive terminal states should be approximately reachable in this way, i.e., subject to the requirement that the boundary data stays nonnegative.

Journal

Applied Mathematics and Optimization – Springer Journals

Published: Aug 1, 2004

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