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On the optimal control of nonresonant elliptic equations. (English) Zbl 0603.49004
We obtain a result on the existence of optimal controls for nonresonant equations describing a distributed parameter system.
MSC:
49J20 Existence theories for optimal control problems involving partial differential equations
35J65 Nonlinear boundary value problems for linear elliptic equations
93C20 Control/observation systems governed by partial differential equations
35B37 PDE in connection with control problems (MSC2000)
47B06 Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
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