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Optimal filtering for the backward heat equation. (English) Zbl 0851.65066

The purpose of this paper is to find an a priori initial bound for optimal filtering for backward heat equation. It is shown how this may be implemented computationally with error estimates. The feasibility of this work for practical computation is limited. No numerical experiment is performed.

MSC:

65M30 Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs
35K05 Heat equation
35R25 Ill-posed problems for PDEs
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