Pavel E. Sobolevskii

Articles in Scholarly Journals [Incomplete List]

  1. A Note on the Parabolic Differential and Difference Equations
    Abstract and Applied Analysis, vol. 2007, Article ID 61659, 16 pages, 2007
  2. A note on the difference schemes for hyperbolic-elliptic equations
    Abstract and Applied Analysis, vol. 2006, Article ID 14816, 13 pages, 2006
  3. 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
  4. 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
  5. A New Method of Summation of Fourier Series Converging in C-Norm
    Semigroup Forum, vol. 71, no. 2, pp. 289–300, 2005
  6. 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
  7. Focal decompositions for linear differential equations of the second order
    Abstract and Applied Analysis, vol. 2003, no. 14, pp. 813–821, 2003
  8. Coercive solvability of the nonlocal boundary value problem for parabolic differential equations
    Abstract and Applied Analysis, vol. 6, no. 1, pp. 53–61, 2001
  9. A note on the difference schemes for hyperbolic equations
    Abstract and Applied Analysis, vol. 6, no. 2, pp. 63–70, 2001
  10. On the stability of the linear delay differential and difference equations
    Abstract and Applied Analysis, vol. 6, no. 5, pp. 267–297, 2001
  11. The sharp constant in Hardy's inequality for complement of bounded domain
    Nonlinear Analysis, vol. 33, no. 2, pp. 105–120, 1998
  12. Motion of nonlinear visco-elastic fluid
    Nonlinear Analysis, vol. 32, no. 6, pp. 755–760, 1998
  13. The best possible constant in generalized Hardy's inequality for convex domain in
    Nonlinear Analysis, vol. 28, no. 9, pp. 1601–1610, 1997
  14. Hardy's inequality for the stokes problem
    Nonlinear Analysis, vol. 30, no. 1, pp. 129–145, 1997
  15. Asymptotics of Stable Viscoelastic Fluid Motion (Oldroyd's Mathematical Model)
    Mathematische Nachrichten, vol. 177, no. 1, pp. 281–305, 1996
  16. Well-posed solvability of the Cauchy problem for difference equations of parabolic type
    Nonlinear Analysis, vol. 24, no. 2, pp. 257–264, 1995
  17. ?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
  18. Elliptic and parabolic operators in the space C
    Journal of Mathematical Analysis and Applications, vol. 142, no. 2, pp. 317–324, 1989
  19. 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
  20. 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
  21. Stability and convergence of high-order difference schemes for parabolic partial differential equations
    Ukrainian Mathematical Journal, vol. 32, no. 3, pp. 189–196, 1981
  22. Difference schemes of optimal type for the approximate solution of parabolic equations
    Ukrainian Mathematical Journal, vol. 32, no. 5, pp. 408–413, 1981
  23. 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
  24. 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
  25. 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
  26. 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
  27. Fractional powers of coercive-positive sums of operators
    Siberian Mathematical Journal, vol. 18, no. 3, pp. 454–469, 1978
  28. Certain difference methods for the approximate solution of nonstationary Navier-Stokes equations
    Siberian Mathematical Journal, vol. 18, no. 1, pp. 60–71, 1977
  29. Well-posed solvability of a difference boundary-value problem in Bochner space
    Ukrainian Mathematical Journal, vol. 28, no. 4, pp. 394–404, 1977
  30. 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
  31. On coercive solvability of parabolic equations
    Mathematical Notes of the Academy of Sciences of the USSR, vol. 11, no. 4, pp. 251–256, 1972
  32. On the solvability of mixed problems for one-dimensional quasilinear hyperbolic equations
    Ukrainian Mathematical Journal, vol. 22, no. 1, pp. 98–103, 1970
  33. 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
  34. 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
  35. A priori estimates of solutions to a certain class of nonlinear nonstationary equations
    Ukrainian Mathematical Journal, vol. 20, no. 4, pp. 473–477, 1969
  36. A nonlocal existence theorem for solutions of nonlinear hyperbolic equations in Hilbert space
    Ukrainian Mathematical Journal, vol. 19, no. 1, pp. 98–99, 1968
  37. The Cauchy problem for second order differential equations in Banach spaces
    Siberian Mathematical Journal, vol. 8, no. 1, pp. 52–68, 1967
  38. Hyperbolic equations in Hilbert space
    Siberian Mathematical Journal, vol. 8, no. 1, pp. 92–108, 1967