Geodesic
Elliptic problems with nonlocal boundary conditions and Feller semigroups
Contemporary Mathematics. Fundamental Directions, Partial differential equations, Tome 38 (2010), pp. 3-173

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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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     author = {P. L. Gurevich},
     title = {Elliptic problems with nonlocal boundary conditions and {Feller} semigroups},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {3--173},
     publisher = {mathdoc},
     volume = {38},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2010_38_a0/}
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P. L. Gurevich. Elliptic problems with nonlocal boundary conditions and Feller semigroups. Contemporary Mathematics. Fundamental Directions, Partial differential equations, Tome 38 (2010), pp. 3-173. http://geodesic.mathdoc.fr/item/CMFD_2010_38_a0/