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Prof.dr. Ovidiu Carja
| Speaker: |
Prof.dr. Ovidiu Carja ("Al.I. Cuza" "University and "Octav
Mayer" Mathematics Institute, Romanian Academy, Iasi, Romania)
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| Date: |
Wednesday April 9, 2008
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| Title: |
On time
optimal controllability for the heat equation
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Abstract
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It
is well known that the heat equation modeled as y' = Ay + u in L1(W) is null controllable
with control in L∞(0,T; L1(W)).
Moreover, the corresponding minimum time function is Lipschitz
continuous. We
show here that the equation above is null controllable with control in L∞(0,T; Lp(W)) with 1 ≤ p ≤ ∞. Further, the
corresponding minimum time
function is Hölder continuous.
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