Abstract
In the last years much effort was focused on inverse identification problems for models of hydrodynamics and heat transfer [AT90, GHS91, AM94, GHS93, IR98, Ale98, LI00, Ded07]. In these problems the unknown densities of boundary or distributed sources, the coefficients of model differential equations or boundary conditions are recovered from additional information on the solution to the original boundary value problem. Importantly, inverse problems can be reduced to corresponding extremum problems by choosing a suitable minimized cost functional that adequately describes the inverse problem in question [Ale01, Ale07a, Ale07b]. As a result, both control and inverse problems can be analyzed by applying a unified approach based on the constrained optimization theory in Hilbert or Banach spaces.
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