An inverse problem for evolution inclusions (Q1608788)

An inverse problem for evolution inclusion that consists in determination of the shape and convective coefficient on a part of the boundary from partial measurement of the solution is investigated. The author uses an \(N\)-person game approach in contrast to works in which a single cost functional is involved [see e.g. \textit{V. Barbu} and \textit{A. Friedmann}, SIAM J. Control Optim. 29, 623-637 (1991; Zbl 0732.49003)]. Further the obtained results are applied to a parabolic initial-boundary value problem using 2-person game optimal control technique. It is worth to mention that such problems arise in the study of heat transfer between solids and gases under nonlinear boundary conditions.