IJPAM: Volume 76, No. 2 (2012)
WELL-POSEDNESS OF A QUASILINEAR PARABOLIC
OPTIMAL CONTROL PROBLEM
OPTIMAL CONTROL PROBLEM
M.H. Farag
, T.A. Talaat
, E.M. Kamal
Department of Mathematics
Faculty of Science
Minia University
Minia, EGYPT



Department of Mathematics
Faculty of Science
Minia University
Minia, EGYPT
Abstract. In this paper we investigate the existence and uniqueness for the solution of the problem of determining the
in the quasilinear parabolic equation
. For the objective functional
it is proven that the problem has at least one solution for
, and has a unique solution for
.
Received: June 2, 2011
AMS Subject Classification: 49J20, 49K20, 49M29, 49M30
Key Words and Phrases: optimal control, quasilinear parabolic equation, existence and uniquness theorems
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 76
Issue: 2