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- A class of variational data assimilation problems of reconstructing initialvalue functions is considered for the case when the operator in the original evolution problem is nonlinear, nonsymmetric, and time-dependent. The properties of control operators are studied and solvability theorems are proved for linear and quasilinear data assimilation problems. Iterative algorithms are formulated and justified.

Control operators and iterative algorithms in variational data assimilation problems