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