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Pavel E. Sobolevskii
Articles in Scholarly Journals [Incomplete List]
A Note on the Parabolic Differential and Difference Equations
Abstract and Applied Analysis, vol. 2007, Article ID 61659, 16 pages, 2007
A note on the difference schemes for hyperbolic-elliptic equations
Abstract and Applied Analysis, vol. 2006, Article ID 14816, 13 pages, 2006
Well-posedness of the difference schemes of the high order of accuracy for elliptic equations
Discrete Dynamics in Nature and Society, vol. 2006, Article ID 75153, 12 pages, 2006
Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations
Discrete Dynamics in Nature and Society, vol. 2005, no. 2, pp. 183–213, 2005
A New Method of Summation of Fourier Series Converging in C-Norm
Semigroup Forum, vol. 71, no. 2, pp. 289–300, 2005
On well-posedness of the nonlocal boundary value problem for parabolic difference equations
Discrete Dynamics in Nature and Society, vol. 2004, no. 2, pp. 273–286, 2004
Focal decompositions for linear differential equations of the second order
Abstract and Applied Analysis, vol. 2003, no. 14, pp. 813–821, 2003
Coercive solvability of the nonlocal boundary value problem for parabolic differential equations
Abstract and Applied Analysis, vol. 6, no. 1, pp. 53–61, 2001
A note on the difference schemes for hyperbolic equations
Abstract and Applied Analysis, vol. 6, no. 2, pp. 63–70, 2001
On the stability of the linear delay differential and difference equations
Abstract and Applied Analysis, vol. 6, no. 5, pp. 267–297, 2001
The sharp constant in Hardy's inequality for complement of bounded domain
Nonlinear Analysis, vol. 33, no. 2, pp. 105–120, 1998
Motion of nonlinear visco-elastic fluid
Nonlinear Analysis, vol. 32, no. 6, pp. 755–760, 1998
The best possible constant in generalized Hardy's inequality for convex domain in
Nonlinear Analysis, vol. 28, no. 9, pp. 1601–1610, 1997
Hardy's inequality for the stokes problem
Nonlinear Analysis, vol. 30, no. 1, pp. 129–145, 1997
Asymptotics of Stable Viscoelastic Fluid Motion (Oldroyd's Mathematical Model)
Mathematische Nachrichten, vol. 177, no. 1, pp. 281–305, 1996
Well-posed solvability of the Cauchy problem for difference equations of parabolic type
Nonlinear Analysis, vol. 24, no. 2, pp. 257–264, 1995
?Commutant method? in the theory of operators and the theory of differential equations with operator coefficients
Integral Equations and Operator Theory, vol. 16, no. 3, pp. 400–429, 1993
Elliptic and parabolic operators in the space C
Journal of Mathematical Analysis and Applications, vol. 142, no. 2, pp. 317–324, 1989
Imbedding theorems for elliptic and parabolic operators in the space C
Journal of Mathematical Analysis and Applications, vol. 142, no. 2, pp. 325–330, 1989
Solvability of the Cauchy problem for an evolution equation in a Banach space with a nondensely defined operator coefficient generating a semigroup with a singularity
Siberian Mathematical Journal, vol. 27, no. 4, pp. 544–553, 1987
Stability and convergence of high-order difference schemes for parabolic partial differential equations
Ukrainian Mathematical Journal, vol. 32, no. 3, pp. 189–196, 1981
Difference schemes of optimal type for the approximate solution of parabolic equations
Ukrainian Mathematical Journal, vol. 32, no. 5, pp. 408–413, 1981
Difference schemes of optimal type for an approximate solution of parabolic equations (Banach case)
Ukrainian Mathematical Journal, vol. 33, no. 1, pp. 30–36, 1981
Stability and convergence of difference schemes of a high order of approximation for parabolic equations
Ukrainian Mathematical Journal, vol. 31, no. 6, pp. 483–489, 1980
L-characteristics of fractional powers of difference operators
Mathematical Notes of the Academy of Sciences of the USSR, vol. 25, no. 1, pp. 65–72, 1979
Method of fractional powers of operators in study of the Crank-Nicholson scheme for the Navier-Stokes equations
Siberian Mathematical Journal, vol. 19, no. 2, pp. 212–222, 1978
Fractional powers of coercive-positive sums of operators
Siberian Mathematical Journal, vol. 18, no. 3, pp. 454–469, 1978
Certain difference methods for the approximate solution of nonstationary Navier-Stokes equations
Siberian Mathematical Journal, vol. 18, no. 1, pp. 60–71, 1977
Well-posed solvability of a difference boundary-value problem in Bochner space
Ukrainian Mathematical Journal, vol. 28, no. 4, pp. 394–404, 1977
Embedding theorems for fractional norms generated by an elliptic operator
Mathematical Notes of the Academy of Sciences of the USSR, vol. 15, no. 1, pp. 50–55, 1974
On coercive solvability of parabolic equations
Mathematical Notes of the Academy of Sciences of the USSR, vol. 11, no. 4, pp. 251–256, 1972
On the solvability of mixed problems for one-dimensional quasilinear hyperbolic equations
Ukrainian Mathematical Journal, vol. 22, no. 1, pp. 98–103, 1970
Functional equations in the theory of semigroups
Mathematical Notes of the Academy of Sciences of the USSR, vol. 7, no. 5, pp. 382–385, 1970
Use of fractional powers of operators to investigate quasilinear parabolic and elliptic equations and systems
Ukrainian Mathematical Journal, vol. 19, no. 3, pp. 360–363, 1969
A priori estimates of solutions to a certain class of nonlinear nonstationary equations
Ukrainian Mathematical Journal, vol. 20, no. 4, pp. 473–477, 1969
A nonlocal existence theorem for solutions of nonlinear hyperbolic equations in Hilbert space
Ukrainian Mathematical Journal, vol. 19, no. 1, pp. 98–99, 1968
The Cauchy problem for second order differential equations in Banach spaces
Siberian Mathematical Journal, vol. 8, no. 1, pp. 52–68, 1967
Hyperbolic equations in Hilbert space
Siberian Mathematical Journal, vol. 8, no. 1, pp. 92–108, 1967