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{\large \bf Extremal Problems for Generalized Heat Equation and
Optimal Recovery of its Solution from Inaccurate Data}

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Konstantin Osipenko

MATI-Russian State Technological University, Russia
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\noindent We consider the problem of optimal recovery of
solutions of the generalized heat equation in the unit ball.
Information is given at two time instances, but inaccurate. The
solution is to be constructed at some intermediate time. We
provide the optimal error and present an algorithm which achieves
this error level.


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