×

zbMATH — the first resource for mathematics

Sobolevskii, Pavel Evseyevich

Compute Distance To:
Author ID: sobolevskii.pavel-e Recent zbMATH articles by "Sobolevskii, Pavel Evseyevich"
Published as: Sobolevskii, P.; Sobolevskii, P. E.; Sobolevskii, Pavel; Sobolevskii, Pavel E.; Sobolevskij, P.; Sobolevskij, P. E.; Sobolevskij, Pavel; Sobolevskij, Pavel E.; Sobolevskij, Pavel Evseyevich; Sobolevskiĭ, P. E.; Sobolevskiĭ, Pavel E.; Sobolevskĭ, P. E.
External Links: MGP · Math-Net.Ru
Documents Indexed: 222 Publications since 1956, including 4 Books
all top 5

Serials

35 Soviet Mathematics. Doklady
18 Differential Equations
17 Differentsial’nye Uravneniya
13 Doklady Akademii Nauk SSSR
9 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A
9 Ukrainian Mathematical Journal
9 Functional Differential Equations
7 Ukraïns’kyĭ Matematychnyĭ Zhurnal
6 Siberian Mathematical Journal
6 Abstract and Applied Analysis
5 Sibirskiĭ Matematicheskiĭ Zhurnal
5 Nonlinear Analysis. Theory, Methods & Applications
4 Mathematical Notes
4 Matematicheskie Zametki
4 Discrete Dynamics in Nature and Society
3 Differential and Integral Equations
3 Doklady, Akademiya Nauk Azerbaĭdzhanskoĭ SSR
3 Izvestiya Akademii Nauk Turkmenskoĭ SSR. Seriya Fiziko-Tekhnicheskikh, Khimicheskikh i Geologicheskikh Nauk
2 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika
2 Journal of Mathematical Analysis and Applications
2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
2 U.S.S.R. Computational Mathematics and Mathematical Physics
2 Vychislitel’nye Sistemy
2 Translations. Series 2. American Mathematical Society
2 Operator Theory: Advances and Applications
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 Integral Equations and Operator Theory
1 Mathematische Nachrichten
1 Numerical Functional Analysis and Optimization
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Semigroup Forum
1 Transactions of the Moscow Mathematical Society
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A
1 Izvestiya Akademii Nauk Azerbaidzhanskoi SSR. Seriya Fiziko-Tekhnicheskikh i Matematicheskikh Nauk
1 Litovskiĭ Matematicheskiĭ Sbornik
1 Soviet Physics. Doklady
1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ. Severo-Kavkazskiĭ Region. Estestvennye Nauki
1 Nonlinear Boundary Value Problems
1 Dopovidi Akademiï Nauk Ukraïns’koï RSR
1 Differentsial’nye Uravneniya i ikh Primenenie

Publications by Year

Citations contained in zbMATH

98 Publications have been cited 717 times in 485 Documents Cited by Year
Integral operators in spaces of summable functions. Zbl 0145.39703
Krasnosel’skiĭ, M. A.; Zabreĭko, P. P.; Pustyl’nik, E. I.; Sobolevskiĭ, P. E.
71
1966
New difference schemes for partial differential equations. Zbl 1060.65055
Ashyralyev, Allaberen; Sobolevskii, Pavel E.
63
2004
Integral operators in spaces of summable functions. Translated by T. Ando. Zbl 0312.47041
Krasnosel’skiĭ, M. A.; Zabreĭko, P. P.; Pustylnik, E. I.; Sobolevskiĭ, P. E.
49
1976
On well-posedness of the nonlocal boundary value problem for parabolic difference equations. Zbl 1077.39015
Ashyralyev, A.; Karatay, I.; Sobolevskii, P. E.
46
2004
The best possible constant in generalized Hardy’s inequality for convex domain in \(\mathbb{R}^ n\). Zbl 0876.46025
Matskewich, Tanya; Sobolevskii, Pavel E.
46
1997
Fractional powers of coercively positive sums of operators. Zbl 0333.47010
Sobolevskii, P. E.
28
1975
A note on the difference schemes for hyperbolic equations. Zbl 1007.65064
Ashyralyev, A.; Sobolevskii, P. E.
27
2001
Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations. Zbl 1094.65077
Ashyralyev, Allaberen; Sobolevskii, Pavel E.
25
2005
On mathematical models of a viscoelasticity with a memory. Zbl 0732.73022
Orlov, V. P.; Sobolevskii, P. E.
23
1991
Motion of nonlinear visco-elastic fluid. Zbl 0949.76006
Agranovich, Yuri Ya.; Sobolevskii, Pavel E.
22
1998
Coerciveness inequalities for abstract parabolic equations. Zbl 0149.36001
Sobolevskij, P. E.
18
1964
On coercive solvability of difference equations. Zbl 0246.39002
Sobolevskii, P. E.
16
1971
Coercive solvability of the nonlocal boundary value problem for parabolic differential equations. Zbl 0996.35027
Ashyralyev, A.; Hanalyev, A.; Sobolevskii, P. E.
15
2001
Well-posedness of difference elliptic equation. Zbl 0928.39002
Sobolevskii, Pavel E.
14
1997
Equations of parabolic gype in a Banach space. Zbl 0178.50301
Sobolevskij, P. E.
14
1966
On equations with operators forming an acute angle. Zbl 0081.11802
Sobolevskij, P. E.
14
1957
On difference schemes for hyperbolic-elliptic equations. Zbl 1354.65212
Ashyralyev, A.; Judakova, G.; Sobolevskii, P. E.
10
2004
The positivity of difference operators. Zbl 0516.47019
Sobolevskiĭ, P. E.; Smirnitskiĭ, Yu. A.
10
1981
Interpolation theory of linear operators and stability of difference schemes. Zbl 0598.65038
Ashyralyev, A. O.; Sobolevskij, P. E.
9
1984
The sharp constant in Hardy’s inequality for complement of bounded domain. Zbl 0930.26009
Matskewich, T.; Sobolevskii, P. E.
8
1998
A note on the difference schemes for hyperbolic-elliptic equations. Zbl 1133.65058
Ashyralyev, A.; Judakova, G.; Sobolevskii, P. E.
7
2006
On the stability of the linear delay differential and difference equations. Zbl 1002.65098
Ashyralyev, A.; Sobolevskii, P. E.
7
2001
Well-posed solvability of the Cauchy problem for difference equations of parabolic type. Zbl 0818.65047
Ashyralyev, Allaberen; Sobolevskij, Pavel Evseyevich
7
1995
A new method of summation of Fourier series converging in \(C\)-norm. Zbl 1096.47045
Sobolevskii, Pavel
6
2005
Asymptotics of stable viscoelastic fluid motion (Oldroyd’s mathematical model). Zbl 0844.76005
Sobolevskij, P. E.
6
1996
Stabilization of viscoelastic fluid motion (Oldroyd’s mathematical model). Zbl 0809.35087
Sobolevskij, P. E.
6
1994
Difference schemes of high order accuracy for parabolic equations with variable coefficients. Zbl 0652.65063
Ashyralyev, A.; Sobolevskij, P. E.
6
1988
Parabolic differential equations in a Banach space. Zbl 0278.34054
Sobolevskii, P. E.
6
1970
On semigroups of growth \(\alpha\). Zbl 0241.47030
Sobolevskii, P. E.
5
1971
Über die Lösbarkeit gemischter Probleme für homogene quasilineare hyperbolische Gleichungen. Zbl 0191.11501
Sobolevskij, P. E.; Pogorelenko, V. A.
5
1970
Study of Navier-Stokes equations by the methods of the theory of parabolic equations in Banach spaces. Zbl 0201.18301
Sobolevskij, P. E.
5
1964
Parabolic equations in Banach space with an unbounded variable operator, a fractional power of which has a constant domain of definition. Zbl 0104.09303
Sobolevskij, P. E.
5
1961
Non-stationary equations of viscous fluid dynamics. Zbl 0092.43104
Sobolevskij, P. E.
5
1959
Fractional powers of operators acting in Banach spaces. Zbl 0090.09102
Krasnosel’skij, M. A.; Sobolevskij, P. E.
5
1959
A note on the parabolic differential and difference equations. Zbl 1153.35353
Ashyralyev, Allaberen; Sozen, Yasar; Sobolevskii, Pavel E.
4
2007
Well-posedness of the difference schemes of the high order of accuracy for elliptic equations. Zbl 1102.65085
Ashyralyev, Allaberen; Sobolevskiĭ, Pavel E.
4
2006
On the two new approaches for construction of the high order of accuracy difference schemes for the second order differential equations. Zbl 1053.65054
Ashyralyev, A.; Sobolevskii, P. E.
4
2003
Well-posedness of parabolic difference equations. Transl. from the Russian by A. Iacob. Zbl 0803.65089
Ashyralev, Allaberen; Sobolevskij, Pavel E.
4
1994
Investigation of the mathematical model of viscoelastic fluid. Zbl 0696.76011
Agranovich, Yu. Ya.; Sobolevskij, P. E.
4
1989
Investigation of mathematical models of multidimensional viscoelastic media. Zbl 0716.73032
Orlov, V. P.; Sobolevskij, P. E.
3
1989
Über die Methode von Rothe zur genäherten Lösung des Cauchyproblems für Differentialgleichungen im Banachraum mit einem variablen unbeschränkten Operator. Zbl 0349.34047
Polichka, A. E.; Sobolevskij, P. E.
3
1976
Fractional powers of ordinary differential operators. Zbl 0316.34014
Evzerov, I. D.; Sobolevskii, P. E.
3
1974
Local and nonlocal existence theorems for nonlinear second-order parabolic equations. Zbl 0196.40301
Sobolevskij, P. E.
3
1961
On the smoothness of generalized solutions of the Navier-Stokes equations. Zbl 0105.38904
Sobolevskij, P. E.
3
1960
First order differential equations in Hilbert space with a variable positively defined self-adjoined operator whose fractional power has a constant definition domain. Zbl 0086.32101
Sobolevskij, P. E.
3
1958
Differential equation with abstract elliptical operator in Hilbert space. Zbl 0082.11702
Krejn, S. G.; Sobolevskij, P. E.
3
1958
On the two-step high order of accuracy difference schemes for second order differential equations. Zbl 1069.65090
Ashyralyev, Allaberen; Sobolevskii, Pavel E.
2
2004
Focal decompositions for linear differential equations of the second order. Zbl 1080.34513
Birbrair, L.; Sobolevsky, M.; Sobolevskii, P.
2
2003
The “counter-example” to W. Littman counter-example of \(L_p\)-energetical inequality for wave equation. Zbl 0927.35056
Pogorelenko, V.; Sobolevskii, P.
2
1997
The theorem on mixed derivatives and the estimate of the convergence rate of the Galerkin method for parabolic equations (the third initial boundary value problem). Zbl 0866.35048
Sobolevskii, P.
2
1995
The elliptic and parabolic boundary value problems with a singular estimate of the coefficient. Zbl 0702.35070
Lezhenina, I. F.; Sobolevskij, P. E.
2
1989
Existence of solutions of a mathematical model of a nonlinearly viscous fluid. Zbl 0616.35073
Sobolevskij, P. E.
2
1985
Über Stabilität und Konvergenz von Differenzenschemata hoher Ordnung bei der Approximation für parabolische Gleichungen. Zbl 0424.65045
Alibekov, Kh. A.; Sobolevskij, P. E.
2
1979
On the stability of difference schemes for parabolic equations. Zbl 0416.65063
Alibekov, Kh. A.; Sobolevskij, P. E.
2
1977
Über einige Differenzenmethoden zur Näherungslösung instationärer Navier-Stokesscher Gleichungen. Zbl 0352.35073
Zagorodnikov, Ju. I.; Sobolevskii, P. E.
2
1977
Coercive solvability of general boundary value problems for second order elliptic differential equations in a Banach space. Zbl 0303.34048
Gershteĭn, L. M.; Sobolevskiĭ, P. E.
2
1974
On elliptic equations in Banach space. Zbl 0235.34126
Sobolevskiĭ, P. E.
2
1972
On degenerate parabolic operators. Zbl 0263.34064
Sobolevskii, P. E.
2
1971
On generating operators of semigroups. Zbl 0117.34301
Maz’ya, V. G.; Sobolevskiĭ, P. E.
2
1962
Über Gleichungen parabolischen Typs im Banachraum. Zbl 0141.32701
Sobolevskij, P. E.
2
1961
On differential equations with unbounded operators in Hilbert space. Zbl 0078.29702
Krasnosel’skij, M. A.; Krejn, S. G.; Sobolevskij, P. E.
2
1957
Some improvements of Hölder results. Zbl 1132.26344
Sobolevskii, M.; Sobolevskii, P.
1
2007
Well-posedness of difference elliptic equation. Zbl 0904.39007
Sobolevskii, Pavel E.
1
1996
Dependence of fractional powers of elliptic operators on boundary conditions. Zbl 0794.35041
Sobolevskij, Pavel E.
1
1992
The motion of a nonlinear viscoelastic fluid. Zbl 0738.76001
Agranovich, Yu. Ya.; Sobolevskij, P. E.
1
1990
Coercive estimates of accuracy of the Euler method for parabolic equations with variable operators. Zbl 0728.65054
Smagin, V. V.; Sobolevskij, P. E.
1
1989
Elliptic and parabolic operators in the space C. Zbl 0705.35036
Sobolevskij, P. E.
1
1989
Solvability of longitudinal oscillations of a viscoelastic one-dimensional continuum. Zbl 0682.35064
Orlov, V. P.; Sobolevskij, P. E.
1
1988
Stability of motion of a nonlinear viscous fluid. Zbl 0645.76030
Sobolevskij, P. E.
1
1987
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. Zbl 0611.34054
Sil’chenko, Yu. T.; Sobolevskij, P. E.
1
1986
Correct solvability of the Crank-Nicolson difference scheme for parabolic equations. Zbl 0532.65071
Ashyralyev, A. O.; Sobolevskij, P. E.
1
1981
Difference schemes of optimal type for an approximate solution of parabolic equations (Banach case). Zbl 0484.65033
Sobolevskij, P. E.; Laj, Khoang Van
1
1981
Über Stabilität und Konvergenz von Differenzenschemata höherer Approximationsordnung für parabolische partielle Differentialgleichungen. Zbl 0445.65105
Alibekov, Kh. A.; Sobolevskij, P. E.
1
1980
On the Crank-Nicolson difference scheme for parabolic equations. Zbl 0545.65072
Sobolevskiĭ, P. E.
1
1978
On the well-posed solvability of parabolic difference equations in Bochner spaces. Zbl 0464.65025
Polichka, A. E.; Sobolevskij, P. E.
1
1978
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. Zbl 0368.35050
Zagorodnikov, Ju. I.; Sobolevskii, P. E.
1
1976
New \(L_p\) estimates for parabolic difference problems. Zbl 0359.35068
Policka, A. E.; Sobolevskii, P. E.
1
1976
Resolvente und gebrochene Potenzen gewöhnlicher Differentialoperatoren in Räumen glatter Funktionen. Zbl 0333.47020
Evzerov, I. D.; Sobolevskii, P. E.
1
1976
Correct solvability of an extended boundary-value problem for a parabolic equation. Zbl 0321.35044
Sobolevskiĭ, P. E.; Shteĭnvil’, È. A.
1
1976
On the resolvent of a degenerate operator in Banach space. Zbl 0329.34052
Orlov, V. P.; Sobolevskii, P. E.
1
1975
Coercive solvability of general boundary value problems for second order elliptic differential equations in a Banach space. II. Zbl 0317.34048
Gershteĭn, L. M.; Sobolevskiĭ, P. E.
1
1975
Embedding theorems for fractional norms generated by an elliptic operator. Zbl 0309.47034
Smirnickii, Ju. A.; Sobolevskii, P. E.
1
1974
On coercive solvability of parabolic equations. Zbl 0244.35054
Anosov, V. P.; Sobolevskii, P. E.
1
1972
Koerzitive Lösbarkeit des Randwertproblems für eine elliptische Gleichung zweiter Ordnung im Banachraum. II. Zbl 0246.35031
Anosov, V. P.; Sobolevskii, P. E.
1
1971
Coercive solvability of a boundary-value problem for a second-order elliptic equation in Banach space. I. Zbl 0229.35026
Anosov, V. P.; Sobolevskij, P. E.
1
1971
On periodic solutions of hyperbolic equations. Zbl 0224.35052
Sobolevskij, P. E.; Pogorelenko, V. A.
1
1970
Kongruenzsätze für die Normen der Lösungen linearer homogener Differentialgleichungen in Hilberträumen. Zbl 0216.11901
Smagin, V. V.; Sobolevskij, P. E.
1
1970
On the solvability of mixed problems for one-dimensional quasilinear hyperbolic equations. Zbl 0205.10201
Sobolevskij, P. E.; Pogorelenko, V. A.
1
1970
The Bubnov-Galerkin method for parabolic equations in Hilbert space. Zbl 0203.40402
Sobolevskij, P. E.
1
1968
The Cauchy problem for second order differential equations in Banach spaces. Zbl 0167.15103
Raskin, V. G.; Sobolevskij, P. E.
1
1968
Über elliptische Gleichungen im Banachraum. Zbl 0165.49404
Sobolevskij, P. E.
1
1968
Hyperbolische Gleichungen im Hilbertraum. Zbl 0147.35104
Sobolevskij, P. E.; Pogorelenko, V. A.
1
1967
Cauchysches Problem für Differentialgleichungen zweiter Ordnung in Banachräumen. Zbl 0147.35103
Raskin, V. G.; Sobolevskij, P. E.
1
1967
Fractional powers of weakly positive operators. Zbl 0184.35701
Sobolevskij, P. E.
1
1966
General boundary value problems for parabolic equations investigated by the method of differential equations in Banach space. Zbl 0171.07904
Sobolevskij, P. E.
1
1966
On a theorem of E. Hille. Zbl 0144.17801
Mamedov, Ya. D.; Sobolevskij, P. E.
1
1966
Second-order differential equations in Banach space. Zbl 0149.35902
Sobolevskij, P. E.
1
1962
On differential equations with unlimited operators in Banach spaces. Zbl 0073.10401
Krasnosel’skij, M. A.; Krejn, S. G.; Sobolevskij, P. E.
1
1956
A note on the parabolic differential and difference equations. Zbl 1153.35353
Ashyralyev, Allaberen; Sozen, Yasar; Sobolevskii, Pavel E.
4
2007
Some improvements of Hölder results. Zbl 1132.26344
Sobolevskii, M.; Sobolevskii, P.
1
2007
A note on the difference schemes for hyperbolic-elliptic equations. Zbl 1133.65058
Ashyralyev, A.; Judakova, G.; Sobolevskii, P. E.
7
2006
Well-posedness of the difference schemes of the high order of accuracy for elliptic equations. Zbl 1102.65085
Ashyralyev, Allaberen; Sobolevskiĭ, Pavel E.
4
2006
Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations. Zbl 1094.65077
Ashyralyev, Allaberen; Sobolevskii, Pavel E.
25
2005
A new method of summation of Fourier series converging in \(C\)-norm. Zbl 1096.47045
Sobolevskii, Pavel
6
2005
New difference schemes for partial differential equations. Zbl 1060.65055
Ashyralyev, Allaberen; Sobolevskii, Pavel E.
63
2004
On well-posedness of the nonlocal boundary value problem for parabolic difference equations. Zbl 1077.39015
Ashyralyev, A.; Karatay, I.; Sobolevskii, P. E.
46
2004
On difference schemes for hyperbolic-elliptic equations. Zbl 1354.65212
Ashyralyev, A.; Judakova, G.; Sobolevskii, P. E.
10
2004
On the two-step high order of accuracy difference schemes for second order differential equations. Zbl 1069.65090
Ashyralyev, Allaberen; Sobolevskii, Pavel E.
2
2004
On the two new approaches for construction of the high order of accuracy difference schemes for the second order differential equations. Zbl 1053.65054
Ashyralyev, A.; Sobolevskii, P. E.
4
2003
Focal decompositions for linear differential equations of the second order. Zbl 1080.34513
Birbrair, L.; Sobolevsky, M.; Sobolevskii, P.
2
2003
A note on the difference schemes for hyperbolic equations. Zbl 1007.65064
Ashyralyev, A.; Sobolevskii, P. E.
27
2001
Coercive solvability of the nonlocal boundary value problem for parabolic differential equations. Zbl 0996.35027
Ashyralyev, A.; Hanalyev, A.; Sobolevskii, P. E.
15
2001
On the stability of the linear delay differential and difference equations. Zbl 1002.65098
Ashyralyev, A.; Sobolevskii, P. E.
7
2001
Motion of nonlinear visco-elastic fluid. Zbl 0949.76006
Agranovich, Yuri Ya.; Sobolevskii, Pavel E.
22
1998
The sharp constant in Hardy’s inequality for complement of bounded domain. Zbl 0930.26009
Matskewich, T.; Sobolevskii, P. E.
8
1998
The best possible constant in generalized Hardy’s inequality for convex domain in \(\mathbb{R}^ n\). Zbl 0876.46025
Matskewich, Tanya; Sobolevskii, Pavel E.
46
1997
Well-posedness of difference elliptic equation. Zbl 0928.39002
Sobolevskii, Pavel E.
14
1997
The “counter-example” to W. Littman counter-example of \(L_p\)-energetical inequality for wave equation. Zbl 0927.35056
Pogorelenko, V.; Sobolevskii, P.
2
1997
Asymptotics of stable viscoelastic fluid motion (Oldroyd’s mathematical model). Zbl 0844.76005
Sobolevskij, P. E.
6
1996
Well-posedness of difference elliptic equation. Zbl 0904.39007
Sobolevskii, Pavel E.
1
1996
Well-posed solvability of the Cauchy problem for difference equations of parabolic type. Zbl 0818.65047
Ashyralyev, Allaberen; Sobolevskij, Pavel Evseyevich
7
1995
The theorem on mixed derivatives and the estimate of the convergence rate of the Galerkin method for parabolic equations (the third initial boundary value problem). Zbl 0866.35048
Sobolevskii, P.
2
1995
Stabilization of viscoelastic fluid motion (Oldroyd’s mathematical model). Zbl 0809.35087
Sobolevskij, P. E.
6
1994
Well-posedness of parabolic difference equations. Transl. from the Russian by A. Iacob. Zbl 0803.65089
Ashyralev, Allaberen; Sobolevskij, Pavel E.
4
1994
Dependence of fractional powers of elliptic operators on boundary conditions. Zbl 0794.35041
Sobolevskij, Pavel E.
1
1992
On mathematical models of a viscoelasticity with a memory. Zbl 0732.73022
Orlov, V. P.; Sobolevskii, P. E.
23
1991
The motion of a nonlinear viscoelastic fluid. Zbl 0738.76001
Agranovich, Yu. Ya.; Sobolevskij, P. E.
1
1990
Investigation of the mathematical model of viscoelastic fluid. Zbl 0696.76011
Agranovich, Yu. Ya.; Sobolevskij, P. E.
4
1989
Investigation of mathematical models of multidimensional viscoelastic media. Zbl 0716.73032
Orlov, V. P.; Sobolevskij, P. E.
3
1989
The elliptic and parabolic boundary value problems with a singular estimate of the coefficient. Zbl 0702.35070
Lezhenina, I. F.; Sobolevskij, P. E.
2
1989
Coercive estimates of accuracy of the Euler method for parabolic equations with variable operators. Zbl 0728.65054
Smagin, V. V.; Sobolevskij, P. E.
1
1989
Elliptic and parabolic operators in the space C. Zbl 0705.35036
Sobolevskij, P. E.
1
1989
Difference schemes of high order accuracy for parabolic equations with variable coefficients. Zbl 0652.65063
Ashyralyev, A.; Sobolevskij, P. E.
6
1988
Solvability of longitudinal oscillations of a viscoelastic one-dimensional continuum. Zbl 0682.35064
Orlov, V. P.; Sobolevskij, P. E.
1
1988
Stability of motion of a nonlinear viscous fluid. Zbl 0645.76030
Sobolevskij, P. E.
1
1987
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. Zbl 0611.34054
Sil’chenko, Yu. T.; Sobolevskij, P. E.
1
1986
Existence of solutions of a mathematical model of a nonlinearly viscous fluid. Zbl 0616.35073
Sobolevskij, P. E.
2
1985
Interpolation theory of linear operators and stability of difference schemes. Zbl 0598.65038
Ashyralyev, A. O.; Sobolevskij, P. E.
9
1984
The positivity of difference operators. Zbl 0516.47019
Sobolevskiĭ, P. E.; Smirnitskiĭ, Yu. A.
10
1981
Correct solvability of the Crank-Nicolson difference scheme for parabolic equations. Zbl 0532.65071
Ashyralyev, A. O.; Sobolevskij, P. E.
1
1981
Difference schemes of optimal type for an approximate solution of parabolic equations (Banach case). Zbl 0484.65033
Sobolevskij, P. E.; Laj, Khoang Van
1
1981
Über Stabilität und Konvergenz von Differenzenschemata höherer Approximationsordnung für parabolische partielle Differentialgleichungen. Zbl 0445.65105
Alibekov, Kh. A.; Sobolevskij, P. E.
1
1980
Über Stabilität und Konvergenz von Differenzenschemata hoher Ordnung bei der Approximation für parabolische Gleichungen. Zbl 0424.65045
Alibekov, Kh. A.; Sobolevskij, P. E.
2
1979
On the Crank-Nicolson difference scheme for parabolic equations. Zbl 0545.65072
Sobolevskiĭ, P. E.
1
1978
On the well-posed solvability of parabolic difference equations in Bochner spaces. Zbl 0464.65025
Polichka, A. E.; Sobolevskij, P. E.
1
1978
On the stability of difference schemes for parabolic equations. Zbl 0416.65063
Alibekov, Kh. A.; Sobolevskij, P. E.
2
1977
Über einige Differenzenmethoden zur Näherungslösung instationärer Navier-Stokesscher Gleichungen. Zbl 0352.35073
Zagorodnikov, Ju. I.; Sobolevskii, P. E.
2
1977
Integral operators in spaces of summable functions. Translated by T. Ando. Zbl 0312.47041
Krasnosel’skiĭ, M. A.; Zabreĭko, P. P.; Pustylnik, E. I.; Sobolevskiĭ, P. E.
49
1976
Über die Methode von Rothe zur genäherten Lösung des Cauchyproblems für Differentialgleichungen im Banachraum mit einem variablen unbeschränkten Operator. Zbl 0349.34047
Polichka, A. E.; Sobolevskij, P. E.
3
1976
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. Zbl 0368.35050
Zagorodnikov, Ju. I.; Sobolevskii, P. E.
1
1976
New \(L_p\) estimates for parabolic difference problems. Zbl 0359.35068
Policka, A. E.; Sobolevskii, P. E.
1
1976
Resolvente und gebrochene Potenzen gewöhnlicher Differentialoperatoren in Räumen glatter Funktionen. Zbl 0333.47020
Evzerov, I. D.; Sobolevskii, P. E.
1
1976
Correct solvability of an extended boundary-value problem for a parabolic equation. Zbl 0321.35044
Sobolevskiĭ, P. E.; Shteĭnvil’, È. A.
1
1976
Fractional powers of coercively positive sums of operators. Zbl 0333.47010
Sobolevskii, P. E.
28
1975
On the resolvent of a degenerate operator in Banach space. Zbl 0329.34052
Orlov, V. P.; Sobolevskii, P. E.
1
1975
Coercive solvability of general boundary value problems for second order elliptic differential equations in a Banach space. II. Zbl 0317.34048
Gershteĭn, L. M.; Sobolevskiĭ, P. E.
1
1975
Fractional powers of ordinary differential operators. Zbl 0316.34014
Evzerov, I. D.; Sobolevskii, P. E.
3
1974
Coercive solvability of general boundary value problems for second order elliptic differential equations in a Banach space. Zbl 0303.34048
Gershteĭn, L. M.; Sobolevskiĭ, P. E.
2
1974
Embedding theorems for fractional norms generated by an elliptic operator. Zbl 0309.47034
Smirnickii, Ju. A.; Sobolevskii, P. E.
1
1974
On elliptic equations in Banach space. Zbl 0235.34126
Sobolevskiĭ, P. E.
2
1972
On coercive solvability of parabolic equations. Zbl 0244.35054
Anosov, V. P.; Sobolevskii, P. E.
1
1972
On coercive solvability of difference equations. Zbl 0246.39002
Sobolevskii, P. E.
16
1971
On semigroups of growth \(\alpha\). Zbl 0241.47030
Sobolevskii, P. E.
5
1971
On degenerate parabolic operators. Zbl 0263.34064
Sobolevskii, P. E.
2
1971
Koerzitive Lösbarkeit des Randwertproblems für eine elliptische Gleichung zweiter Ordnung im Banachraum. II. Zbl 0246.35031
Anosov, V. P.; Sobolevskii, P. E.
1
1971
Coercive solvability of a boundary-value problem for a second-order elliptic equation in Banach space. I. Zbl 0229.35026
Anosov, V. P.; Sobolevskij, P. E.
1
1971
Parabolic differential equations in a Banach space. Zbl 0278.34054
Sobolevskii, P. E.
6
1970
Über die Lösbarkeit gemischter Probleme für homogene quasilineare hyperbolische Gleichungen. Zbl 0191.11501
Sobolevskij, P. E.; Pogorelenko, V. A.
5
1970
On periodic solutions of hyperbolic equations. Zbl 0224.35052
Sobolevskij, P. E.; Pogorelenko, V. A.
1
1970
Kongruenzsätze für die Normen der Lösungen linearer homogener Differentialgleichungen in Hilberträumen. Zbl 0216.11901
Smagin, V. V.; Sobolevskij, P. E.
1
1970
On the solvability of mixed problems for one-dimensional quasilinear hyperbolic equations. Zbl 0205.10201
Sobolevskij, P. E.; Pogorelenko, V. A.
1
1970
The Bubnov-Galerkin method for parabolic equations in Hilbert space. Zbl 0203.40402
Sobolevskij, P. E.
1
1968
The Cauchy problem for second order differential equations in Banach spaces. Zbl 0167.15103
Raskin, V. G.; Sobolevskij, P. E.
1
1968
Über elliptische Gleichungen im Banachraum. Zbl 0165.49404
Sobolevskij, P. E.
1
1968
Hyperbolische Gleichungen im Hilbertraum. Zbl 0147.35104
Sobolevskij, P. E.; Pogorelenko, V. A.
1
1967
Cauchysches Problem für Differentialgleichungen zweiter Ordnung in Banachräumen. Zbl 0147.35103
Raskin, V. G.; Sobolevskij, P. E.
1
1967
Integral operators in spaces of summable functions. Zbl 0145.39703
Krasnosel’skiĭ, M. A.; Zabreĭko, P. P.; Pustyl’nik, E. I.; Sobolevskiĭ, P. E.
71
1966
Equations of parabolic gype in a Banach space. Zbl 0178.50301
Sobolevskij, P. E.
14
1966
Fractional powers of weakly positive operators. Zbl 0184.35701
Sobolevskij, P. E.
1
1966
General boundary value problems for parabolic equations investigated by the method of differential equations in Banach space. Zbl 0171.07904
Sobolevskij, P. E.
1
1966
On a theorem of E. Hille. Zbl 0144.17801
Mamedov, Ya. D.; Sobolevskij, P. E.
1
1966
Coerciveness inequalities for abstract parabolic equations. Zbl 0149.36001
Sobolevskij, P. E.
18
1964
Study of Navier-Stokes equations by the methods of the theory of parabolic equations in Banach spaces. Zbl 0201.18301
Sobolevskij, P. E.
5
1964
On generating operators of semigroups. Zbl 0117.34301
Maz’ya, V. G.; Sobolevskiĭ, P. E.
2
1962
Second-order differential equations in Banach space. Zbl 0149.35902
Sobolevskij, P. E.
1
1962
Parabolic equations in Banach space with an unbounded variable operator, a fractional power of which has a constant domain of definition. Zbl 0104.09303
Sobolevskij, P. E.
5
1961
Local and nonlocal existence theorems for nonlinear second-order parabolic equations. Zbl 0196.40301
Sobolevskij, P. E.
3
1961
Über Gleichungen parabolischen Typs im Banachraum. Zbl 0141.32701
Sobolevskij, P. E.
2
1961
On the smoothness of generalized solutions of the Navier-Stokes equations. Zbl 0105.38904
Sobolevskij, P. E.
3
1960
Non-stationary equations of viscous fluid dynamics. Zbl 0092.43104
Sobolevskij, P. E.
5
1959
Fractional powers of operators acting in Banach spaces. Zbl 0090.09102
Krasnosel’skij, M. A.; Sobolevskij, P. E.
5
1959
First order differential equations in Hilbert space with a variable positively defined self-adjoined operator whose fractional power has a constant definition domain. Zbl 0086.32101
Sobolevskij, P. E.
3
1958
Differential equation with abstract elliptical operator in Hilbert space. Zbl 0082.11702
Krejn, S. G.; Sobolevskij, P. E.
3
1958
On equations with operators forming an acute angle. Zbl 0081.11802
Sobolevskij, P. E.
14
1957
On differential equations with unbounded operators in Hilbert space. Zbl 0078.29702
Krasnosel’skij, M. A.; Krejn, S. G.; Sobolevskij, P. E.
2
1957
On differential equations with unlimited operators in Banach spaces. Zbl 0073.10401
Krasnosel’skij, M. A.; Krejn, S. G.; Sobolevskij, P. E.
1
1956
all top 5

Cited by 522 Authors

76 Ashyralyev, Allaberen
23 Orlov, Vladimir P.
12 Sobolevskii, Pavel Evseyevich
10 Avkhadiev, Farit Gabidinovich
10 Zvyagin, Victor G.
9 Marcus, Moshe M.
9 Mizel, Victor J.
7 Koksal, Mehmet Emir
7 Yildirim, Ozgur
7 Zabreĭko, Pëtr Petrovich
7 Zvyagin, Viktor Grigor’evich
6 Amann, Herbert
6 Sozen, Yasar
5 Ağirseven, Deniz
5 Ashyralyyev, Charyyar
5 Levenshtam, Valeriĭ Borisovich
5 Piskarëv, S. I.
5 Väth, Martin
4 Aggez, Necmettin
4 Akturk, Sema
4 Appell, Jürgen M.
4 Ashyraliyev, Maksat
4 Banaś, Józef
4 Cuevas, Claudio
4 Dal, Fadime
4 Erdogan, Abdullah Said
4 Gercek, Okan
4 He, Yinnian
4 Kalitvin, Anatolij S.
4 Ozdemir, Yildirim
4 Ozturk, Elif
4 Selitskii, Anton Mikhailovich
4 Wang, Kun
3 Acquistapace, Paolo
3 Erzakova, Nina A.
3 Favini, Angelo
3 Giga, Yoshikazu
3 Gulua, D. V.
3 Kamenskiĭ, Mikhaĭl Igor’evich
3 Kharibegashvili, S. S.
3 Lakeev, A. V.
3 Laptev, Ari
3 Linke, Yuriĭ Èrnievich
3 Modanli, Mahmut
3 Nasibullin, Ramil Gaisa’evich
3 Redlinger, Reinhard
3 Rehberg, Joachim
3 Rogava, Jemal L.
3 Rusanov, Vyacheslav Anatolievich
3 Semënov, Evgeniĭ Mikhaĭlovich
3 Si, Zhiyong
3 Terreni, Brunello
3 Uzun, Meltem
3 Vabishchevich, Pëtr Nikolaevich
3 Yurtsever, Hasan Ali
3 Zarubin, A. G.
2 Abdellaoui, Boumediene
2 Agarwal, Ravi P.
2 Aliev, Bahram A.
2 Arjmand, Doghonay
2 Baranovskiĭ, Evgeniĭ Sergeevich
2 Barbatis, Gerassimos
2 Birbrair, Lev
2 Biroud, K.
2 Brézis, Haïm
2 Cesari, Lamberto
2 Chikriĭ, Arkadiĭ Alekseevich
2 Cotsiolis, Athanase
2 D’Ambrosio, Lorenzo
2 Dávila, Juan
2 De Pascale, Espedito
2 Dedeturk, Mutlu
2 Denk, Robert
2 Fan, Zhenbin
2 Feng, Xinlong
2 Filippas, Stathis
2 Frank, Rupert L.
2 Gavrilyuk, Ivan P.
2 Görlich, Ernst
2 Gurevich, Pavel L.
2 Gutlyanskiĭ, Vladimir Ya.
2 Haller-Dintelmann, Robert
2 Hamad, Ayman
2 Hanalyev, A. R.
2 Hieber, Matthias
2 Jäger, Willi
2 Kharibegashvili, Sergo
2 Kotschote, Matthias
2 Kovařík, Hynek
2 Krylov, A. V.
2 Krylov, Nicolaĭ Vladimirovich
2 Kuchment, Peter A.
2 Kundu, Sudeep
2 Labropoulos, Nikos
2 Leitman, Marshall J.
2 Lewis, Roger T.
2 Li, Gang
2 Lin, Fang Hua
2 Lions, Pierre-Louis
2 Liu, Li
...and 422 more Authors
all top 5

Cited in 127 Serials

35 Journal of Mathematical Analysis and Applications
29 Abstract and Applied Analysis
20 Nonlinear Analysis. Theory, Methods & Applications
17 Applied Mathematics and Computation
17 Journal of Functional Analysis
16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Siberian Mathematical Journal
13 Russian Mathematics
12 Mathematical Notes
12 Differential Equations
11 Journal of Differential Equations
11 Zeitschrift für Analysis und ihre Anwendungen
11 Journal of Mathematical Sciences (New York)
11 Boundary Value Problems
9 Computers & Mathematics with Applications
9 Advances in Difference Equations
8 Numerical Functional Analysis and Optimization
8 Discrete Dynamics in Nature and Society
7 Ukrainian Mathematical Journal
7 Rendiconti del Seminario Matematico della Università di Padova
7 Computational Mathematics and Mathematical Physics
6 Journal of Applied Mathematics and Mechanics
6 Transactions of the American Mathematical Society
5 Mathematische Zeitschrift
4 Archive for Rational Mechanics and Analysis
4 Lithuanian Mathematical Journal
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Applied Numerical Mathematics
4 Journal of Integral Equations and Applications
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Communications in Contemporary Mathematics
4 Journal of Evolution Equations
4 Proceedings of the Steklov Institute of Mathematics
3 Israel Journal of Mathematics
3 Journal of the Franklin Institute
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Functional Analysis and its Applications
3 Journal of Computational and Applied Mathematics
3 Mathematische Annalen
3 Numerische Mathematik
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 International Journal of Computer Mathematics
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 St. Petersburg Mathematical Journal
3 Izvestiya: Mathematics
3 Mathematical Problems in Engineering
3 Doklady Mathematics
3 Lobachevskii Journal of Mathematics
2 Communications in Mathematical Physics
2 Mathematical Methods in the Applied Sciences
2 Advances in Mathematics
2 BIT
2 Czechoslovak Mathematical Journal
2 Integral Equations and Operator Theory
2 Proceedings of the Japan Academy. Series A
2 Tohoku Mathematical Journal. Second Series
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Numerical Methods for Partial Differential Equations
2 Applied Mathematics Letters
2 Mathematical and Computer Modelling
2 Numerical Algorithms
2 Stochastic Processes and their Applications
2 NoDEA. Nonlinear Differential Equations and Applications
2 Fractional Calculus & Applied Analysis
2 Journal of Mathematical Fluid Mechanics
2 Discrete and Continuous Dynamical Systems. Series B
2 Bulletin of the American Mathematical Society
2 Bulletin de la Société Mathématique de France. Supplément. Mémoires
2 Ufimskiĭ Matematicheskiĭ Zhurnal
2 Eurasian Mathematical Journal
1 Applicable Analysis
1 Houston Journal of Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Inverse Problems
1 Journal d’Analyse Mathématique
1 Journal of Computational Physics
1 Journal of Mathematical Physics
1 Russian Mathematical Surveys
1 Chaos, Solitons and Fractals
1 The Annals of Probability
1 Applied Mathematics and Optimization
1 Automatica
1 Bulletin de la Société Mathématique de France
1 Journal of the Mathematical Society of Japan
1 Journal of Soviet Mathematics
1 Mathematische Nachrichten
1 Proceedings of the American Mathematical Society
1 RAIRO. Analyse Numérique
1 SIAM Journal on Control and Optimization
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Stochastic Analysis and Applications
1 Acta Applicandae Mathematicae
1 Physica D
1 Mathematica Bohemica
1 The Journal of Geometric Analysis
1 Applied Mathematical Modelling
1 Automation and Remote Control
1 Linear Algebra and its Applications
1 Indagationes Mathematicae. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
...and 27 more Serials
all top 5

Cited in 40 Fields

272 Partial differential equations (35-XX)
122 Numerical analysis (65-XX)
121 Operator theory (47-XX)
93 Ordinary differential equations (34-XX)
54 Fluid mechanics (76-XX)
51 Real functions (26-XX)
48 Functional analysis (46-XX)
37 Integral equations (45-XX)
22 Difference and functional equations (39-XX)
20 Calculus of variations and optimal control; optimization (49-XX)
16 Mechanics of deformable solids (74-XX)
11 Probability theory and stochastic processes (60-XX)
10 Systems theory; control (93-XX)
9 Classical thermodynamics, heat transfer (80-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Functions of a complex variable (30-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
5 Statistical mechanics, structure of matter (82-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Measure and integration (28-XX)
4 Biology and other natural sciences (92-XX)
3 General and overarching topics; collections (00-XX)
3 Potential theory (31-XX)
3 Approximations and expansions (41-XX)
2 History and biography (01-XX)
2 Combinatorics (05-XX)
2 Number theory (11-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Optics, electromagnetic theory (78-XX)
2 Quantum theory (81-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Computer science (68-XX)
1 Mechanics of particles and systems (70-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year