Geodesic
Optimal Recovery of Pipe Temperature from Inaccurate Measurements
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function Spaces, Approximation Theory, and Related Problems of Analysis, Tome 312 (2021), pp. 216-223.

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The problem of optimal recovery of the solution of the heat equation on a manifold at a given instant of time from inaccurate measurements of this solution at other instants of time is considered, the manifold being the product of the real line and a circle. A family of optimal recovery methods is constructed. 
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G. G. Magaril-Il'yaev; K. Yu. Osipenko; E. O. Sivkova. Optimal Recovery of Pipe Temperature from Inaccurate Measurements. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function Spaces, Approximation Theory, and Related Problems of Analysis, Tome 312 (2021), pp. 216-223. http://geodesic.mathdoc.fr/item/TM_2021_312_a11/

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