Optimal recovery of solutions of the generalized heat equation in the unit ball from inaccurate data

Authors:
K. Yu. Osipenko;E. V. Wedenskaya
Affiliations:
“MATI”---Russian State Technological University, Russia;“MATI”---Russian State Technological University, Russia
Venue:
Journal of Complexity
Year:
2007

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Abstract

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.