Geodesic
On correctness of nonlocal edge problem with constant coefficient for multidimensional second order equation of mixed type
Matematičeskie zametki SVFU, Tome 24 (2017), pp. 17-27

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We formulate a nonlocal boundary-value problem for a second order multidimensional equation of mixed type covering classical elliptic, hyperbolic, and parabolic equations. We prove regular solvability of the posed nonlocal boundary-value problem in Sobolev spaces.
Keywords: second order multidimensional equation of mixed type, nonlocal boundary value problem, generalized solution, regular solution, uniqueness, smoothness of solution, method of $\varepsilon$-regularization, Galerkin method, a priori estimates.
Mots-clés : existence 
@article{SVFU_2017_24_a1,
     author = {S. Z. Djamalov},
     title = {On correctness of nonlocal edge problem with constant coefficient for multidimensional second order equation of mixed type},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {17--27},
     publisher = {mathdoc},
     volume = {24},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2017_24_a1/}
}
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S. Z. Djamalov. On correctness of nonlocal edge problem with constant coefficient for multidimensional second order equation of mixed type. Matematičeskie zametki SVFU, Tome 24 (2017), pp. 17-27. http://geodesic.mathdoc.fr/item/SVFU_2017_24_a1/