Solution of state estimation problem for parabolic systems with nonzero boundary conditions.
The paper considers the estimation problem for a parabolic system. The observability conditions are revealed, and it is shown that the controllability of the adjoint problem is equivalent to the observability of the initial system. Using the regularization technique, the author proves the convergence of solutions of the regularized problem to those of the initial problem.
scientific article; zbMATH DE number 2099452