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THE CONTINUOUS CLASSICAL OPTIMAL CONTROL PROBLEM of A SEMILINEAR PARABOLIC EQUATION (COCP) | ||
| journal of kerbala university | ||
| Article 1, Volume 6, Issue 1, 2010, Pages 57-70 PDF (0 K) | ||
| Abstract | ||
| We deal with in this work the continuous classical optimal control problem of a semilinear parabolic equation with equality and inequality constrains. First we prove for fixed classical control the existence and uniqueness for the solution of parabolic equation using the Galerkin method to approximate the exact solution and then for different classical controls. Second we prove the existence theory of a classical optimal control with equality and inequality constraints. Finally we prove the necessary conditions for existence of a classical optimal control with the above constraints. | ||
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