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Some $L_{p}$estimates for elliptic and parabolic operators with measurable coefficients
1.  127 Vincent Hall, University of Minnesota, Minneapolis, MN 55455, United States 
References:
[1] 
Hongjie Dong, N. V. Krylov and Xu Li, On fully nonlinear elliptic and parabolic equations in domains with VMO coefficients, Algebra i Analiz, Vol. 24 (2012), No. 1, 5495. 
[2] 
N. V. Krylov, On Itô's stochastic integral equations, (Russian), Teoriya Veroyatnostei i eye Primeneniya, 14 (1969), 340348; English translation in Theor. Probability Appl., 14 (1969), 330336. 
[3] 
N. V. Krylov, Certain estimates in the theory of stochastic integrals, (Russian), Teoriya Veroyatnostei i eye Primeneniya, 18 (1973), 5665; English translation in Theor. Probability Appl., 18 (1973), 5463. 
[4] 
N. V. Krylov, Some estimates for the density of the distrinbution of a stochastic integral, (Russian), Izvestiya Akademii Nauk SSSR, seriya matematicheskaya, 38 (1974), 228248; English translation in Math. USSR Izvestija, 8 (1974), 233254. 
[5] 
N. V. Krylov, "Controlled Diffusion Processes,'' (Russian), Nauka, Moscow, 1977; English translation, Applications of Mathematics, 14, SpringerVerlag, New YorkBerlin, 1980. 
[6] 
N. V. Krylov, "Nelineĭnye Éllipticheskie i Parabolicheskie Uravneniya Vtorogo Poryadka,'' (Russian) [SecondOrder Nonlinear Elliptic and Parabolic Equations], "Nauka," Moscow, 1985; English translation, Reidel, Dordrecht, 1987, MR0901759. 
[7] 
N. V. Krylov, "Lectures on Elliptic and Parabolic Equations in Sobolev Spaces," Graduate Studies in Mathematics, 96, Amer. Math. Soc., Providence, RI, 2008. 
[8] 
N. V. Krylov, On Bellman's equations with VMO coefficients, Methods and Applications of Analysis, 17 (2010), 105121. 
[9] 
FangHua Lin, Second derivative $L^p$estimates for elliptic equations of nondivergent type, Proc. Amer. Math. Soc., 96 (1986), 447451. doi: 10.2307/2046592. 
[10] 
O. A. Ladyzhenskaya, V. A. Solonnikov and N. N. Ural'tseva, "Lineĭnye i Kvazilineĭnye Uravneniya Parabolicheskogo Tipa,'' (Russian) [Linear and QuasiLinear Equations of Parabolic Type], "Nauka," Moscow, 1968; English translation, Amer. Math. Soc., Providence, RI, 1968. 
[11] 
G. M. Lieberman, "Second Order Parabolic Differential Equations," World Scientific Publishing Co., Inc., River Edge, NJ, 1996. 
show all references
References:
[1] 
Hongjie Dong, N. V. Krylov and Xu Li, On fully nonlinear elliptic and parabolic equations in domains with VMO coefficients, Algebra i Analiz, Vol. 24 (2012), No. 1, 5495. 
[2] 
N. V. Krylov, On Itô's stochastic integral equations, (Russian), Teoriya Veroyatnostei i eye Primeneniya, 14 (1969), 340348; English translation in Theor. Probability Appl., 14 (1969), 330336. 
[3] 
N. V. Krylov, Certain estimates in the theory of stochastic integrals, (Russian), Teoriya Veroyatnostei i eye Primeneniya, 18 (1973), 5665; English translation in Theor. Probability Appl., 18 (1973), 5463. 
[4] 
N. V. Krylov, Some estimates for the density of the distrinbution of a stochastic integral, (Russian), Izvestiya Akademii Nauk SSSR, seriya matematicheskaya, 38 (1974), 228248; English translation in Math. USSR Izvestija, 8 (1974), 233254. 
[5] 
N. V. Krylov, "Controlled Diffusion Processes,'' (Russian), Nauka, Moscow, 1977; English translation, Applications of Mathematics, 14, SpringerVerlag, New YorkBerlin, 1980. 
[6] 
N. V. Krylov, "Nelineĭnye Éllipticheskie i Parabolicheskie Uravneniya Vtorogo Poryadka,'' (Russian) [SecondOrder Nonlinear Elliptic and Parabolic Equations], "Nauka," Moscow, 1985; English translation, Reidel, Dordrecht, 1987, MR0901759. 
[7] 
N. V. Krylov, "Lectures on Elliptic and Parabolic Equations in Sobolev Spaces," Graduate Studies in Mathematics, 96, Amer. Math. Soc., Providence, RI, 2008. 
[8] 
N. V. Krylov, On Bellman's equations with VMO coefficients, Methods and Applications of Analysis, 17 (2010), 105121. 
[9] 
FangHua Lin, Second derivative $L^p$estimates for elliptic equations of nondivergent type, Proc. Amer. Math. Soc., 96 (1986), 447451. doi: 10.2307/2046592. 
[10] 
O. A. Ladyzhenskaya, V. A. Solonnikov and N. N. Ural'tseva, "Lineĭnye i Kvazilineĭnye Uravneniya Parabolicheskogo Tipa,'' (Russian) [Linear and QuasiLinear Equations of Parabolic Type], "Nauka," Moscow, 1968; English translation, Amer. Math. Soc., Providence, RI, 1968. 
[11] 
G. M. Lieberman, "Second Order Parabolic Differential Equations," World Scientific Publishing Co., Inc., River Edge, NJ, 1996. 
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