Geodesic
First boundary-value problem for second-order elliptic-parabolic equations with discontinuous coefficients
Contemporary Mathematics. Fundamental Directions, Partial differential equations, Tome 39 (2011), pp. 102-129

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In this paper, the first boundary value problem for the second-order degenerated ellipticparabolic equations in nondivergent form is considered. Unique strong (almost everywhere) solvability of this problem in the corresponding weight Sobolev space is proved. 
@article{CMFD_2011_39_a5,
     author = {I. T. Mamedov},
     title = {First boundary-value problem for second-order elliptic-parabolic equations with discontinuous coefficients},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {102--129},
     publisher = {mathdoc},
     volume = {39},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2011_39_a5/}
}
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I. T. Mamedov. First boundary-value problem for second-order elliptic-parabolic equations with discontinuous coefficients. Contemporary Mathematics. Fundamental Directions, Partial differential equations, Tome 39 (2011), pp. 102-129. http://geodesic.mathdoc.fr/item/CMFD_2011_39_a5/