Geodesic
A nonlocal boundary value problem with constant coefficients for the multidimensional second order equation of mixed type of the second kind
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 4, pp. 472-481

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Multidimensional second order equation of the mixed type of the second kind is considered in the paper. Unique solvability and smoothness of the solution of a nonlocal boundary value problem with constant coefficients in Sobolev spaces are proved under some conditions on coefficients.
Keywords: solvability, generalized solution.
Mots-clés : multidimensional equations 
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     author = {Sirojiddin Z. Dzhamalov},
     title = {A nonlocal boundary value problem with constant coefficients for the multidimensional second order equation of mixed type of the second kind},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {472--481},
     publisher = {mathdoc},
     volume = {11},
     number = {4},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2018_11_4_a8/}
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Sirojiddin Z. Dzhamalov. A nonlocal boundary value problem with constant coefficients for the multidimensional second order equation of mixed type of the second kind. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 4, pp. 472-481. http://geodesic.mathdoc.fr/item/JSFU_2018_11_4_a8/