Article
MSC:
35K20,
35R30,
49D07,
49J20,
65K10,
65Z05,
93B30 | MR 0778982 | Zbl 0574.65136 | DOI: 10.21136/AM.1985.104132
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Keywords:
quasilinear parabolic equation; identification; gas chromatography; optimal control; numerical example
quasilinear parabolic equation; identification; gas chromatography; optimal control; numerical example
Summary:
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).
References:
[1] D. R. Richtmyer K. W. Morton: Difference methods for initial value problem. Interscience Publishers, a division of John Wiley & Sons, 1967. MR 0220455
[2] J. L. Lions: Controle optimal de systèmes gouvernés par des équations aux dérivées partielles. Paris, Dunod 1968. MR 0244606 | Zbl 0179.41801
[3] 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.
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