We prove that the problem of optimal control for the Poisson equation with nonlocal boundary conditions in a circular sector has a classical solution in the class of distributed controls.
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Translated from Neliniini Kolyvannya, Vol. 16, No. 3, pp. 350–358, July–September, 2013.
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Kapustyan, V.O., Kapustyan, O.A. & Mazur, O.K. Problem of Optimal Control for the Poisson Equation with Nonlocal Boundary Conditions. J Math Sci 201, 325–334 (2014). https://doi.org/10.1007/s10958-014-1992-y
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DOI: https://doi.org/10.1007/s10958-014-1992-y