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Some properties of the control operator in the problem of data understanding and some algorithms for its solution. (English. Russian original) Zbl 1030.49500

Differ. Equations 31, No. 12, 2035-2041 (1995); translation from Differ. Uravn. 31, No. 12, 2063-2069 (1995).

From the introduction: We study the problem of data assimilation for a linear evolution problem with an unknown initial condition. We study the properties of the control operator and formulate necessary and sufficient conditions for the solvability of the problem. We consider a class of iterative methods for solving the problem, and study conditions for their convergence.

Cited in 1 Review

Cited in 1 Document

MSC:

49J27	Existence theories for problems in abstract spaces
93C25	Control/observation systems in abstract spaces

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