This paper gives a complete characterization of the reachable space
for a system described by the 1-dimensional heat equation with
(with respect to time) Dirichlet boundary controls at both ends. More
precisely, we prove that this space coincides with the sum of two spaces
of analytic functions (of Bergman type). These results are then applied to
give a complete description of the reachable space via inputs which are
-times
differentiable functions of time. Moreover, we establish a connection between the
norm in the obtained sum of Bergman spaces and the cost of null controllability in
small time. Finally we show that our methods yield new complex analytic results on
the sums of Bergman spaces in infinite sectors.
PDF Access Denied
We have not been able to recognize your IP address
44.197.101.251
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.