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FRECHET DIFFERENTIABILITY FOR A VISCOUS CAHN-HILLIARD EQUATION AND ITS APPLICATION TO A BILINEAR OPTIMAL CONTROL PROBLEM

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키워드

주제분류수학

초록

We consider a viscous Cahn-Hilliard equation. The objective is to study the Frechet differentiability of a nonlinear solution map from a bilinear control input to the solution of the equation. We use this to formulate a bilinear optimal control problem. We show the existence of an optimal control and find its necessary optimality condition.

Abstract

We consider a viscous Cahn-Hilliard equation. The objective is to study the Frechet differentiability of a nonlinear solution map from a bilinear control input to the solution of the equation. We use this to formulate a bilinear optimal control problem. We show the existence of an optimal control and find its necessary optimality condition.

참고문헌 (22)

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