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On the existence of a solution in a domain identification problem. (English) Zbl 0317.49005


MSC:

49J20 Existence theories for optimal control problems involving partial differential equations
93B05 Controllability
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35B99 Qualitative properties of solutions to partial differential equations
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References:

[1] Agmon, Lectures on Elliptic Boundary Value Problems (1965), Van Nostrand: Van Nostrand New York · Zbl 0142.37401
[3] Cea; Gioan; Michel, Quelques résultats sur l’identification de domaine (1973), Caleolo · Zbl 0303.93023
[4] Stein, Singular Integrals and Differentiability Properties of Functions (1970), Princeton University Press: Princeton University Press New Jersey · Zbl 0207.13501
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