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Positive Reachability for Diffusion Equations

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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.

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  1. Department of Mathematics and Statistics, University of Maryland Baltimore County, Baltimore, MD 21250, USA

    Thomas I. Seidman

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  1. Thomas I. Seidman
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Correspondence to Thomas I. Seidman.

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Seidman, T. Positive Reachability for Diffusion Equations. Appl Math Optim 50, 135–142 (2004). https://doi.org/10.1007/s00245-004-0796-8

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  • DOI: https://doi.org/10.1007/s00245-004-0796-8

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