Sobolevskii Pavel Evseyevich

Publications in Math-Net.Ru

1. Estimation of solutions of a parabolic equation with a singular estimate for the coefficient
   
   Dokl. Akad. Nauk SSSR, 318:5 (1991),  1072–1077
2. The commutant method and the coercivity of the Cauchy problem
   
   Dokl. Akad. Nauk SSSR, 316:4 (1991),  825–829
3. Motion of a nonlinear viscoelastic fluid
   
   Dokl. Akad. Nauk SSSR, 314:3 (1990),  521–525
4. Solvability of a one-dimensional problem in thermoelasticity
   
   Dokl. Akad. Nauk SSSR, 304:5 (1989),  1105–1109
5. Embedding theorems for elliptic and parabolic operators in $C$
   
   Dokl. Akad. Nauk SSSR, 302:1 (1988),  34–37
6. Elliptic and parabolic operators in $C$
   
   Dokl. Akad. Nauk SSSR, 298:4 (1988),  815–819
7. Periodic motions of a nonlinearly viscous fluid
   
   Dokl. Akad. Nauk SSSR, 292:1 (1987),  41–46
8. Stability of motion of a nonlinearly viscous fluid
   
   Dokl. Akad. Nauk SSSR, 291:5 (1986),  1067–1071
9. Solvability of the Cauchy problem for an evolution equation in a Banach space with a non-densely given operator coefficient which generates a semigroup with a singularity
   
   Sibirsk. Mat. Zh., 27:4 (1986),  93–104
10. The existence of solutions of a mathematical model of a nonlinear viscous fluid
    
    Dokl. Akad. Nauk SSSR, 285:1 (1985),  44–48
11. The theory of interpolation of linear operators and the stability of difference schemes
    
    Dokl. Akad. Nauk SSSR, 275:6 (1984),  1289–1291
12. Investigation of the asymptotically Newtonian model of a fluid
    
    Dokl. Akad. Nauk SSSR, 271:2 (1983),  300–304
13. On an approach to the investigation of degenerate hyperbolic equations
    
    Dokl. Akad. Nauk SSSR, 270:3 (1983),  555–558
14. $L$-characteristics of fractional powers of difference operators
    
    Mat. Zametki, 25:1 (1979),  123–137
15. An approach to the solution of ill-posed problems
    
    Differ. Uravn., 14:5 (1978),  900–904
16. The method of lines for the approximate solution of mixed problems for a one-dimensional hyperbolic equation
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 3,  61–75
17. Correct solvability of parabolic difference equations in Bochner spaces
    
    Tr. Mosk. Mat. Obs., 36 (1978),  29–57
18. Application of the method of fractional powers of operators to the study of the Crank–Nicolson scheme for Navier–Stokes equations
    
    Sibirsk. Mat. Zh., 19:2 (1978),  303–317
19. Application of the method of fractional powers of operators to the study of a two-dimensional difference system of Navier–Stokes equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 18:2 (1978),  385–393
20. On the stability of difference schemes for parabolic equations
    
    Dokl. Akad. Nauk SSSR, 232:4 (1977),  737–740
21. Approximate solution of the Cauchy problem for an abstract hyperbolic equation by the method of lines
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 5,  103–116
22. Fractional powers of coercive-positive sums of operators
    
    Sibirsk. Mat. Zh., 18:3 (1977),  637–657
23. Some difference methods for the approximate solution of nonstationary Navier–Stokes equations
    
    Sibirsk. Mat. Zh., 18:1 (1977),  81–96
24. On the application of the method of fractional powers of operators to the study of a two-dimensional difference system for the Navier–Stokes equations
    
    Dokl. Akad. Nauk SSSR, 228:2 (1976),  281–284
25. Rothe's method of approximate solution of the Cauchy problem for differential equations in a Banach space with a variable unbounded operator
    
    Differ. Uravn., 12:9 (1976),  1693–1704
26. The resolvent and fractional powers of ordinary differential operators in spaces of smooth functions
    
    Differ. Uravn., 12:2 (1976),  227–233
27. New $L_{p}$ estimates for parabolic difference problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 16:5 (1976),  1155–1163
28. Fractional powers of coercively positive sums of operators
    
    Dokl. Akad. Nauk SSSR, 225:6 (1975),  1271–1274
29. On the resolvent of a degenerate operator in Banach space
    
    Dokl. Akad. Nauk SSSR, 221:5 (1975),  1035–1037
30. Coercive solvability of general boundary value problems for second order elliptic differential equations in a Banach space. II
    
    Differ. Uravn., 11:7 (1975),  1335–1337
31. The resolvent of a degenerate operator in a Banach space
    
    Differ. Uravn., 11:5 (1975),  858–868
32. Coercive solvability of general boundary value problems for second order elliptic differential equations in a Banach space
    
    Differ. Uravn., 10:11 (1974),  2059–2061
33. The coercive solvability of fourth order difference equations
    
    Differ. Uravn., 10:9 (1974),  1699–1713
34. The correct solvability of an extended boundary value problem for a parabolic equation
    
    Differ. Uravn., 10:9 (1974),  1692–1698
35. Embedding theorems for fractional norms generated by an elliptic operator
    
    Mat. Zametki, 15:1 (1974),  91–100
36. Fractional powers of ordinary differential operators
    
    Differ. Uravn., 9:2 (1973),  228–240
37. Solvability in the large of the first boundary value problem for a certain class of quasilinear one-dimensional parabolic equations
    
    Differ. Uravn., 8:10 (1972),  1904–1905
38. On coercive solvability of parabolic equations
    
    Mat. Zametki, 11:4 (1972),  409–419
39. On coercive solvability of difference equations
    
    Dokl. Akad. Nauk SSSR, 201:5 (1971),  1063–1066
40. Semigroups of growth $\alpha$
    
    Dokl. Akad. Nauk SSSR, 196:3 (1971),  535–537
41. Degenerate parabolic operators
    
    Dokl. Akad. Nauk SSSR, 196:2 (1971),  302–304
42. Coercive solvability of a boundary value problem for a second order elliptic equation in a Banach space. I, II
    
    Differ. Uravn., 7:12 (1971),  2191–2198
43. Coercive solvability of a boundary-value problem for a second-order elliptic equation in Banach space. I
    
    Differ. Uravn., 7:11 (1971),  2030–2044
44. The equations of parabolic type with nonpower nonlinearities
    
    Differ. Uravn., 7:8 (1971),  1503–1511
45. On $S$-numbers of positive operators
    
    Dokl. Akad. Nauk SSSR, 193:6 (1970),  1245–1247
46. Comparison theorems for the norms of the solutions of linear homogeneous differential equations in Hilbert spaces
    
    Differ. Uravn., 6:11 (1970),  2005–2010
47. Functional equations in the theory of semigroups
    
    Mat. Zametki, 7:5 (1970),  635–640
48. An investigation of the solvability of perturbed parabolic equations in a Banach space, and a generalized Bubnov–Galerkin method for their approximate solution
    
    Differ. Uravn., 5:8 (1969),  1495–1502
49. Expansion of the solutions of second order differential equations in Banach spaces in series of exponential solutions
    
    Differ. Uravn., 5:3 (1969),  543–545
50. Fractional integration by parts
    
    Dokl. Akad. Nauk SSSR, 183:6 (1968),  1269–1272
51. Quasilinear equations in a Banach space
    
    Dokl. Akad. Nauk SSSR, 183:5 (1968),  1020–1023
52. Differential equations with unbounded operators which generate nonanalytic semigroups
    
    Dokl. Akad. Nauk SSSR, 183:2 (1968),  292–295
53. The Bubnov–Galerkin method for parabolic equations in Hilbert space
    
    Dokl. Akad. Nauk SSSR, 178:3 (1968),  548–551
54. A certain type of differential equations in a Banach space
    
    Differ. Uravn., 4:12 (1968),  2278–2280
55. Elliptic equations in a Banach space
    
    Differ. Uravn., 4:7 (1968),  1346–1348
56. Parabolic equations in spaces of means
    
    Dokl. Akad. Nauk SSSR, 177:2 (1967),  281–284
57. Comparison theorem for fractional powers of operators
    
    Dokl. Akad. Nauk SSSR, 174:2 (1967),  294–297
58. On the $s$-numbers of integral operators
    
    Uspekhi Mat. Nauk, 22:2(134) (1967),  114–116
59. Hyperbolic equations in a Banach space
    
    Uspekhi Mat. Nauk, 22:1(133) (1967),  170–172
60. Hyperbolic equations in a Hilbert space
    
    Sibirsk. Mat. Zh., 8:1 (1967),  123–145
61. The Cauchy problem for differential equations of second order in Banach spaces
    
    Sibirsk. Mat. Zh., 8:1 (1967),  70–90
62. Investigation of general boundary value problems for parabolic equations by the method of differential equations in a Banach space
    
    Dokl. Akad. Nauk SSSR, 170:5 (1966),  1024–1027
63. On fractional powers of weakly positive operators
    
    Dokl. Akad. Nauk SSSR, 166:6 (1966),  1296–1299
64. Solvability of parabolic equations in Lorentz spaces
    
    Uspekhi Mat. Nauk, 21:1(127) (1966),  169–171
65. Generalized solutions of first order differential equations in Banach space
    
    Dokl. Akad. Nauk SSSR, 165:3 (1965),  486–489
66. Coerciveness inequalities for abstract parabolic equations
    
    Dokl. Akad. Nauk SSSR, 157:1 (1964),  52–55
67. An investigation of the Navier–Stokes equations by methods of the theory of parabolic equations in Banach spaces
    
    Dokl. Akad. Nauk SSSR, 156:4 (1964),  745–748
68. Application of the method of fractional powers of operators to the study of the Navier–Stokes equations
    
    Dokl. Akad. Nauk SSSR, 155:1 (1964),  50–53
69. On fractional norms in Banach space generated by the unbounded operator
    
    Uspekhi Mat. Nauk, 19:6(120) (1964),  219–222
70. Second order equations in Banach space with a small parameter at the higher derivative
    
    Uspekhi Mat. Nauk, 19:6(120) (1964),  217–219
71. On second-order differential equations in a Banach space
    
    Dokl. Akad. Nauk SSSR, 146:4 (1962),  774–777
72. The structure of the set of solutions of equations of parabolic type
    
    Dokl. Akad. Nauk SSSR, 146:1 (1962),  26–29
73. Green's functions of arbitrary (in particular, integer) powers of elliptic operators
    
    Dokl. Akad. Nauk SSSR, 142:4 (1962),  804–807
74. On generating operators of semi-groups
    
    Uspekhi Mat. Nauk, 17:6(108) (1962),  151–154
75. Estimates of the Green's function of second-order partial differential equations of parabolic type
    
    Dokl. Akad. Nauk SSSR, 138:2 (1961),  313–316
76. Parabolic equations in a Banach space with an unbounded variable operator, a fractional power of which has a constant domain of definition
    
    Dokl. Akad. Nauk SSSR, 138:1 (1961),  59–62
77. Local and nonlocal existence theorems for nonlinear second-order parabolic equations
    
    Dokl. Akad. Nauk SSSR, 136:2 (1961),  292–295
78. Equations of parabolic type in a Banach space
    
    Tr. Mosk. Mat. Obs., 10 (1961),  297–350
79. On logarithms of normal positive operators
    
    Uspekhi Mat. Nauk, 16:4(100) (1961),  206–208
80. On logarithms of normal positive operators
    
    Uspekhi Mat. Nauk, 16:3(99) (1961),  212–214
81. Non-negative eigenfunction of the first boundary value problem for elliptic equation
    
    Uspekhi Mat. Nauk, 16:1(97) (1961),  197–199
82. On the smoothness of generalized solutions of the Navier–Stokes equations
    
    Dokl. Akad. Nauk SSSR, 131:4 (1960),  758–760
83. The use of fractional powers of self-adjoined operators in the investigation of some non-linear differential equations in Hilbert space
    
    Dokl. Akad. Nauk SSSR, 130:2 (1960),  272–275
84. First order differential equations in Hilbert space with a variable positively defined self-adjoined operator whose fractional power has a constant definition domain
    
    Dokl. Akad. Nauk SSSR, 123:6 (1958),  984–987
85. Generalized solutions of the first order differential equations in Hilbert space
    
    Dokl. Akad. Nauk SSSR, 122:6 (1958),  994–996
86. Differential equation with abstract elliptical operator in Hilbert space
    
    Dokl. Akad. Nauk SSSR, 118:2 (1958),  233–236
87. On equations with operators forming an acute angle
    
    Dokl. Akad. Nauk SSSR, 116:5 (1957),  754–757
88. Approximate methods of solving differential equations in Banach space
    
    Dokl. Akad. Nauk SSSR, 115:2 (1957),  240–243
89. On differential equations with unbounded operators in Hilbert space
    
    Dokl. Akad. Nauk SSSR, 112:6 (1957),  990–993