Abstract
This monograph is devoted to the following interrelated problems: the solvability and smoothness of elliptic linear equations with nonlocal boundary conditions and the existence of Feller semigroups that appear in the theory of multidimensional diffusion processes.
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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 38, Elliptic Problems with Nonlocal Boundary Conditions and Feller Semigroups, 2010.
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Gurevich, P.L. Elliptic problems with nonlocal boundary conditions and Feller semigroups. J Math Sci 182, 255–440 (2012). https://doi.org/10.1007/s10958-012-0746-y
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DOI: https://doi.org/10.1007/s10958-012-0746-y