Optimal Control of Systems Involving Schrödinger Operators

H.M. Serag

Keywords

Cooperative elliptic systems, weight functions, Schrödinger operators, existence and uniqueness of solutions, optimality conditions

Abstract

The existence and uniqueness of solutions for cooperative systems involving Schrödinger operators are proved under conditions on the coefficients stated by the principal eigenvalue of Schrödinger eigenvalue problem with weight function; then the necessary and sufficient conditions of optimality for these systems are obtained.

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