quasilinear parabolic equation; identification; gas chromatography; optimal control; numerical example
In the article the following optimal control problem is studied: to determine a certain coefficient in a quasilinear partial differential equation of parabolic type so that the solution of a boundary value problem for this equation would minimise a given integral functional. In addition to the design and analysis of a numerical method the paper contains the solution of the fundamental problems connected with the formulation of the problem in question (existence and uniqueness of the solution of the boundary-value problem, existence of the solution of the optimal control problem).
 D. R. Richtmyer K. W. Morton: Difference methods for initial value problem
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 J. L. Lions: Controle optimal de systèmes gouvernés par des équations aux dérivées partielles
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| Zbl 0179.41801
 J. H. Mufti: Computational methods in optimal control problems. (Lecture Notes in Operations Research and Mathematical Systems, n. 27); Berlin-Heidelberg-New York, Springer Verlag 1979.