Abstract
We obtain criteria of well-posedness and strong well-posedness (smoothing of solutions as compared with given functions) of boundary-value problems for linear partial differential evolution equations in an infinite layer. The boundary condition is nonlocal and gives a relation between the values of the unknown function and its derivatives with respect to spatial coordinates on shifts of connected components of the boundary of the layer inside the layer.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 8, pp. 1122–1128, August, 1995.
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Fardigola, L.V. Nonlocal two-point boundary-value problems in a layer with differential operators in the boundary condition. Ukr Math J 47, 1283–1289 (1995). https://doi.org/10.1007/BF01057716
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DOI: https://doi.org/10.1007/BF01057716