Abstract
Let H and X be real Hilbert spaces such that X ⊂ H, and H*, X* be the spaces dual to H, X, respectively. We assume that H ≡ H*, \( \left( { \cdot , \cdot } \right)_{L_2 \left( {0,T;H} \right)} = \left( { \cdot , \cdot } \right) \), ‖ · ‖ = (·,·)1/2. Let us consider also the spaces Y O = L 2(0,T; H), Y = L 2(0, T; X), Y* = L 2(0, T; X*) of functions f(t) with the values in H, X, X*, respectively, and the space
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Shutyaev, V. (2003). Solvability of Variational Data Assimilation Problems and Iterative Algorithms. In: Swinbank, R., Shutyaev, V., Lahoz, W.A. (eds) Data Assimilation for the Earth System. NATO Science Series, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0029-1_6
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DOI: https://doi.org/10.1007/978-94-010-0029-1_6
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