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Distributed control of a system governed by Dirichlet and Neumann problems for a self-adjoint elliptic operator with an infinite number of variables. (English) Zbl 0481.49015


MSC:

49K20 Optimality conditions for problems involving partial differential equations
35J40 Boundary value problems for higher-order elliptic equations
47B25 Linear symmetric and selfadjoint operators (unbounded)
35B37 PDE in connection with control problems (MSC2000)
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References:

[1] Gali, I. M., andEl-Saify, H. A.,Optimal Control of a System Governed by a Self-Adjoint Elliptic Operator with an Infinite Number of Variables, Proceeding of the International Conference on Functional-Differential Systems and Related Topics, II, Warsaw, Poland, 1981. · Zbl 0528.49013
[2] Berezanskii, Ju. M., andGali, I. M.,Positive-Definite Functions of Infinitely Many Variables in a Layer, Ukrainskii Matematicheskii Zhurnal, Vol. 24, No. 4, pp. 435-464, 1972.
[3] Lions, J. L., andMagenes, E.,Nonhomogeneous Boundary-Value Problems and Applications, Vol. 1, Springer-Verlag, New York, New York, 1972.
[4] Lions, J. L.,Optimal Control of Systems Governed by Partial Differential Equations, Springer-Verlag, New York, New York, 1971. · Zbl 0203.09001
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