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@article{CMFD_2016_60_a3, author = {A. B. Muravnik}, title = {On the {Dirichlet} problem for differential-difference elliptic equations in a~half-plane}, journal = {Contemporary Mathematics. Fundamental Directions}, pages = {102--113}, publisher = {mathdoc}, volume = {60}, year = {2016}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/CMFD_2016_60_a3/} }
TY - JOUR AU - A. B. Muravnik TI - On the Dirichlet problem for differential-difference elliptic equations in a~half-plane JO - Contemporary Mathematics. Fundamental Directions PY - 2016 SP - 102 EP - 113 VL - 60 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMFD_2016_60_a3/ LA - ru ID - CMFD_2016_60_a3 ER -
A. B. Muravnik. On the Dirichlet problem for differential-difference elliptic equations in a~half-plane. Contemporary Mathematics. Fundamental Directions, Proceedings of the Seventh International Conference on Differential and Functional-Differential Equations (Moscow, August 22–29, 2014). Part 3, Tome 60 (2016), pp. 102-113. http://geodesic.mathdoc.fr/item/CMFD_2016_60_a3/
[1] Vladimirov V. S., Equations of Mathematical Physics, Nauka, Moscow, 1976 (in Russian)
[2] Gel'fand I. M., Shilov G. E., “Fourier transformations of rapidly growing functions and questions of unique solvability of the Cauchy problem”, Progr. Math. Sci., 8:6 (1953), 3–54 (in Russian) | MR | Zbl
[3] Gel'fand I. M., Shilov G. E., Generalized Functions, v. 3, Some Questions of the Theory of Differential Equations, Fizmatgiz, Moscow, 1958 (in Russian) | MR
[4] Gilbarg D., Trudinger N., Second-Order Elliptic Equations, Mir, Moscow, 1989 (in Russian)
[5] Gurevich P. L., “Elliptic problems with nonlocal boundary-value conditions and Feller semigroups”, Contemp. Math. Fundam. Directions, 38, 2010, 3–173 (in Russian) | MR | Zbl
[6] Dunford N., Schwartz J. T., Linear Operators. Spectral Theory, Mir, Moscow, 1966 (in Russian)
[7] Denisov V. N., Muravnik A. B., “On asymptotic form of solution of the Dirichlet problem for an elliptic equation in a halfspace”, Nonlinear Analysis and Nonlinear Differential Equations, Fizmatlit, Moscow, 2003, 397–417 (in Russian) | MR | Zbl
[8] Kondrat'ev V. A., Landis E. M., “Qualitative theory of second-order linear partial differential equations”, Results Sci. Tech. Contemp. Probl. Math., 32, 1988, 99–218 (in Russian) | MR | Zbl
[9] Skubachevskii A. L., “Nonclassic Boundary-Value Problems. I”, Contemp. Math. Fundam. Directions, 26, 2007, 3–132 (in Russian) | MR | Zbl
[10] Skubachevskii A. L., “Nonclassic Boundary-Value Problems. II”, Contemp. Math. Fundam. Directions, 33, 2009, 3–179 (in Russian) | MR
[11] Shilov G. E., Analysis. The Second Special Course, MGU, Moscow, 1984 (in Russian) | MR
[12] Denisov V. N., Muravnik A. B., “On asymptotic behavior of solutions of the Dirichlet problem in half-space for linear and quasi-linear elliptic equations”, Electron. Res. Announc. Am. Math. Soc., 9 (2003), 88–93 | DOI | MR | Zbl
[13] Skubachevskii A. L., Elliptic functional differential equations and applications, Birkhäuser, Basel–Boston–Berlin, 1997 | MR | Zbl