Edit Profile (opens in new tab) Sobolevskii, Pavel Evseyevich Compute Distance To: Compute Author ID: sobolevskii.pavel-e Published as: Sobolevskij, P. E.; Sobolevskii, P. E.; Sobolevskiĭ, P. E.; Sobolevskii, Pavel E.; Sobolevskii, P.; Sobolevskij, Pavel E.; Sobolevskij, Pavel Evseyevich; Sobolevskiĭ, Pavel E.; Sobolevskii, Pavel; Sobolevskij, Pavel; Sobolevskĭ, P. E.; Sobolevskij, P. more...less Further Spellings: Соболевский Павел Евсеевич External Links: MGP · Google Scholar · Math-Net.Ru Documents Indexed: 222 Publications since 1956, including 4 Books Co-Authors: 50 Co-Authors with 140 Joint Publications 753 Co-Co-Authors all top 5 Co-Authors 79 single-authored 20 Ashyralyev, Allaberen 11 Orlov, Vladimir P. 8 Anosov, V. P. 8 Pogorelenko, V. A. 7 Gershtein, L. M. 7 Krasnosel’skiĭ, Mark Aleksandrovich 7 Zagorodnikov, Yu. I. 6 Alibekov, Kh. A. 6 Raskin, V. G. 6 Sil’chenko, Yuriĭ Tikhonovich 5 Agranovich, Yuri Ya. 4 Polichka, A. E. 4 Shteĭnvil’, È. A. 4 Smagin, Viktor Vasil’evich 3 Evzerov, I. D. 3 Kreĭn, Selim Grigor’evich 3 Smirnitskiĭ, Yu. A. 3 Titenskij, M. N. 2 Gurova, I. N. 2 Judakova, G. 2 Khoang Van Laj 2 Lezhenina, I. F. 2 Matskewich, Tanya 2 Primakova, S. I. 2 Pustyl’nik, Eh. I. 2 Semenov, S. M. 2 Sobolevsky, Marina 2 Yasakov, A. I. 2 Zabreĭko, Pëtr Petrovich 1 Birbrair, Lev 1 Chebotareva, L. M. 1 Chebotarova, L. M. 1 Erdogan, Abdullah Said 1 Hanalyev, Asker 1 Hoang Van Lai 1 Karatay, İbrahim 1 Khoang, Van Laj 1 Kresin, Gershon I. 1 Laj, Khoang Van 1 Mamedov, Yahya D. 1 Maz’ya, Vladimir Gilelevich 1 Merzbach, Ely 1 Nashed, M. Zuhair 1 Nguen Nang An 1 Policka, A. E. 1 Prössdorf, Siegfried 1 Shaposhnikova, Tatyana Olegovna 1 Sobolevskiĭ, E. P. 1 Solomyak, Mikhaĭl Zakharovich 1 Sozen, Yasar 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 1 Monographs and Textbooks on Mechanics of Solids and Fluids, Mechanics: Analysis all top 5 Fields 104 Partial differential equations (35-XX) 52 Ordinary differential equations (34-XX) 46 Operator theory (47-XX) 46 Numerical analysis (65-XX) 20 Fluid mechanics (76-XX) 19 Functional analysis (46-XX) 13 Difference and functional equations (39-XX) 7 Mechanics of deformable solids (74-XX) 5 Real functions (26-XX) 4 Integral equations (45-XX) 3 Approximations and expansions (41-XX) 2 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 98 Publications have been cited 740 times in 525 Documents Cited by ▼ Year ▼ Integral operators in spaces of summable functions. (Интегральные операторы в пространствах суммируемых функций.) Zbl 0145.39703Krasnosel’skiĭ, M. A.; Zabreĭko, P. P.; Pustyl’nik, E. I.; Sobolevskiĭ, P. E. 68 1966 New difference schemes for partial differential equations. Zbl 1060.65055Ashyralyev, Allaberen; Sobolevskii, Pavel E. 66 2004 The best possible constant in generalized Hardy’s inequality for convex domain in \(\mathbb{R}^ n\). Zbl 0876.46025Matskewich, Tanya; Sobolevskii, Pavel E. 53 1997 On well-posedness of the nonlocal boundary value problem for parabolic difference equations. Zbl 1077.39015Ashyralyev, A.; Karatay, I.; Sobolevskii, P. E. 49 2004 Integral operators in spaces of summable functions. Translated by T. Ando. Zbl 0312.47041Krasnosel’skiĭ, M. A.; Zabreĭko, P. P.; Pustylnik, E. I.; Sobolevskiĭ, P. E. 47 1976 A note on the difference schemes for hyperbolic equations. Zbl 1007.65064Ashyralyev, A.; Sobolevskii, P. E. 31 2001 On mathematical models of a viscoelasticity with a memory. Zbl 0732.73022Orlov, V. P.; Sobolevskii, P. E. 27 1991 Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations. Zbl 1094.65077Ashyralyev, Allaberen; Sobolevskii, Pavel E. 26 2005 Fractional powers of coercively positive sums of operators. Zbl 0333.47010Sobolevskii, P. E. 25 1975 Motion of nonlinear visco-elastic fluid. Zbl 0949.76006Agranovich, Yuri Ya.; Sobolevskii, Pavel E. 23 1998 Coerciveness inequalities for abstract parabolic equations. Zbl 0149.36001Sobolevskij, P. E. 20 1964 Coercive solvability of the nonlocal boundary value problem for parabolic differential equations. Zbl 0996.35027Ashyralyev, A.; Hanalyev, A.; Sobolevskii, P. E. 16 2001 On coercive solvability of difference equations. Zbl 0246.39002Sobolevskii, P. E. 15 1971 Well-posedness of difference elliptic equation. Zbl 0928.39002Sobolevskii, Pavel E. 15 1997 On equations with operators forming an acute angle. Zbl 0081.11802Sobolevskij, P. E. 14 1957 Equations of parabolic gype in a Banach space. Zbl 0178.50301Sobolevskij, P. E. 14 1966 On difference schemes for hyperbolic-elliptic equations. Zbl 1354.65212Ashyralyev, A.; Judakova, G.; Sobolevskii, P. E. 11 2004 The positivity of difference operators. Zbl 0516.47019Sobolevskiĭ, P. E.; Smirnitskiĭ, Yu. A. 10 1981 The sharp constant in Hardy’s inequality for complement of bounded domain. Zbl 0930.26009Matskewich, T.; Sobolevskii, P. E. 8 1998 Asymptotics of stable viscoelastic fluid motion (Oldroyd’s mathematical model). Zbl 0844.76005Sobolevskij, P. E. 8 1996 A new method of summation of Fourier series converging in \(C\)-norm. Zbl 1096.47045Sobolevskii, Pavel 8 2005 On the stability of the linear delay differential and difference equations. Zbl 1002.65098Ashyralyev, A.; Sobolevskii, P. E. 7 2001 Well-posed solvability of the Cauchy problem for difference equations of parabolic type. Zbl 0818.65047Ashyralyev, Allaberen; Sobolevskij, Pavel Evseyevich 7 1995 A note on the difference schemes for hyperbolic-elliptic equations. Zbl 1133.65058Ashyralyev, A.; Judakova, G.; Sobolevskii, P. E. 7 2006 Parabolic differential equations in a Banach space. Zbl 0278.34054Sobolevskii, P. E. 6 1970 Fractional powers of operators acting in Banach spaces. Zbl 0090.09102Krasnosel’skij, M. A.; Sobolevskij, P. E. 6 1959 Difference schemes of high order accuracy for parabolic equations with variable coefficients. Zbl 0652.65063Ashyralyev, A.; Sobolevskij, P. E. 6 1988 Interpolation theory of linear operators and stability of difference schemes. Zbl 0598.65038Ashyralyev, A. O.; Sobolevskij, P. E. 6 1984 On semigroups of growth \(\alpha\). Zbl 0241.47030Sobolevskii, P. E. 5 1971 Non-stationary equations of viscous fluid dynamics. Zbl 0092.43104Sobolevskij, P. E. 5 1959 Parabolic equations in Banach space with an unbounded variable operator, a fractional power of which has a constant domain of definition. Zbl 0104.09303Sobolevskij, P. E. 5 1961 Über die Lösbarkeit gemischter Probleme für homogene quasilineare hyperbolische Gleichungen. Zbl 0191.11501Sobolevskij, 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 0201.18301Sobolevskij, P. E. 5 1964 Stabilization of viscoelastic fluid motion (Oldroyd’s mathematical model). Zbl 0809.35087Sobolevskij, P. E. 5 1994 Well-posedness of the difference schemes of the high order of accuracy for elliptic equations. Zbl 1102.65085Ashyralyev, Allaberen; Sobolevskiĭ, Pavel E. 5 2006 Über die Methode von Rothe zur genäherten Lösung des Cauchyproblems für Differentialgleichungen im Banachraum mit einem variablen unbeschränkten Operator. Zbl 0349.34047Polichka, A. E.; Sobolevskij, P. E. 4 1976 On the two new approaches for construction of the high order of accuracy difference schemes for the second order differential equations. Zbl 1053.65054Ashyralyev, A.; Sobolevskii, P. E. 4 2003 Well-posedness of parabolic difference equations. Transl. from the Russian by A. Iacob. Zbl 0803.65089Ashyralev, Allaberen; Sobolevskij, Pavel E. 4 1994 Investigation of the mathematical model of viscoelastic fluid. Zbl 0696.76011Agranovich, Yu. Ya.; Sobolevskij, P. E. 4 1989 A note on the parabolic differential and difference equations. Zbl 1153.35353Ashyralyev, Allaberen; Sozen, Yasar; Sobolevskii, Pavel E. 4 2007 Fractional powers of ordinary differential operators. Zbl 0316.34014Evzerov, I. D.; Sobolevskii, P. E. 3 1974 Differential equation with abstract elliptical operator in Hilbert space. Zbl 0082.11702Krejn, S. G.; Sobolevskij, P. E. 3 1958 First order differential equations in Hilbert space with a variable positively defined self-adjoined operator whose fractional power has a constant definition domain. Zbl 0086.32101Sobolevskij, P. E. 3 1958 On the smoothness of generalized solutions of the Navier-Stokes equations. Zbl 0105.38904Sobolevskij, P. E. 3 1960 Local and nonlocal existence theorems for nonlinear second-order parabolic equations. Zbl 0196.40301Sobolevskij, P. E. 3 1961 Investigation of mathematical models of multidimensional viscoelastic media. Zbl 0716.73032Orlov, V. P.; Sobolevskij, P. E. 3 1989 Über einige Differenzenmethoden zur Näherungslösung instationärer Navier-Stokesscher Gleichungen. Zbl 0352.35073Zagorodnikov, Ju. I.; Sobolevskii, P. E. 2 1977 On the stability of difference schemes for parabolic equations. Zbl 0416.65063Alibekov, Kh. A.; Sobolevskij, P. E. 2 1977 Über Stabilität und Konvergenz von Differenzenschemata hoher Ordnung bei der Approximation für parabolische Gleichungen. Zbl 0424.65045Alibekov, Kh. A.; Sobolevskij, P. E. 2 1979 On elliptic equations in Banach space. Zbl 0235.34126Sobolevskiĭ, P. E. 2 1972 On degenerate parabolic operators. Zbl 0263.34064Sobolevskii, P. E. 2 1971 Coercive solvability of general boundary value problems for second order elliptic differential equations in a Banach space. Zbl 0303.34048Gershteĭn, L. M.; Sobolevskiĭ, P. E. 2 1974 Embedding theorems for fractional norms generated by an elliptic operator. Zbl 0309.47034Smirnickii, Ju. A.; Sobolevskii, P. E. 2 1974 On differential equations with unbounded operators in Hilbert space. Zbl 0078.29702Krasnosel’skij, M. A.; Krejn, S. G.; Sobolevskij, P. E. 2 1957 On generating operators of semigroups. Zbl 0117.34301Maz’ya, V. G.; Sobolevskiĭ, P. E. 2 1962 Über Gleichungen parabolischen Typs im Banachraum. Zbl 0141.32701Sobolevskij, P. E. 2 1961 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 0866.35048Sobolevskii, P. 2 1995 On the two-step high order of accuracy difference schemes for second order differential equations. Zbl 1069.65090Ashyralyev, Allaberen; Sobolevskii, Pavel E. 2 2004 Focal decompositions for linear differential equations of the second order. Zbl 1080.34513Birbrair, L.; Sobolevsky, M.; Sobolevskii, P. 2 2003 The “counter-example” to W. Littman counter-example of \(L_p\)-energetical inequality for wave equation. Zbl 0927.35056Pogorelenko, V.; Sobolevskii, P. 2 1997 The elliptic and parabolic boundary value problems with a singular estimate of the coefficient. Zbl 0702.35070Lezhenina, I. F.; Sobolevskij, P. E. 2 1989 Some improvements of Hölder results. Zbl 1132.26344Sobolevskii, M.; Sobolevskii, P. 2 2007 New \(L_p\) estimates for parabolic difference problems. Zbl 0359.35068Policka, A. E.; Sobolevskii, P. E. 1 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 0368.35050Zagorodnikov, Ju. I.; Sobolevskii, P. E. 1 1976 Approximative Lösung durch das Geradenverfahren des Cauchyproblems für eine abstrakte hyperbolische Gleichung. Zbl 0397.34081Sobolevskij, P. E.; Chebotarova, L. M. 1 1977 Über Stabilität und Konvergenz von Differenzenschemata höherer Approximationsordnung für parabolische partielle Differentialgleichungen. Zbl 0445.65105Alibekov, Kh. A.; Sobolevskij, P. E. 1 1980 L-characteristics of fractional powers of difference operators. Zbl 0449.47026Gurova, I. N.; Sobolevskij, P. E. 1 1979 Difference schemes of optimal type for an approximate solution of parabolic equations (Banach case). Zbl 0484.65033Sobolevskij, P. E.; Laj, Khoang Van 1 1981 On coercive solvability of parabolic equations. Zbl 0244.35054Anosov, V. P.; Sobolevskii, P. E. 1 1972 Koerzitive Lösbarkeit des Randwertproblems für eine elliptische Gleichung zweiter Ordnung im Banachraum. II. Zbl 0246.35031Anosov, V. P.; Sobolevskii, P. E. 1 1971 Coercive solvability of general boundary value problems for second order elliptic differential equations in a Banach space. II. Zbl 0317.34048Gershteĭn, L. M.; Sobolevskiĭ, P. E. 1 1975 Correct solvability of an extended boundary-value problem for a parabolic equation. Zbl 0321.35044Sobolevskiĭ, P. E.; Shteĭnvil’, È. A. 1 1976 On the resolvent of a degenerate operator in Banach space. Zbl 0329.34052Orlov, V. P.; Sobolevskii, P. E. 1 1975 Resolvente und gebrochene Potenzen gewöhnlicher Differentialoperatoren in Räumen glatter Funktionen. Zbl 0333.47020Evzerov, I. D.; Sobolevskii, P. E. 1 1976 On differential equations with unlimited operators in Banach spaces. Zbl 0073.10401Krasnosel’skij, M. A.; Krejn, S. G.; Sobolevskij, P. E. 1 1956 On a theorem of E. Hille. Zbl 0144.17801Mamedov, Ya. D.; Sobolevskij, P. E. 1 1966 Cauchysches Problem für Differentialgleichungen zweiter Ordnung in Banachräumen. Zbl 0147.35103Raskin, V. G.; Sobolevskij, P. E. 1 1967 Hyperbolische Gleichungen im Hilbertraum. Zbl 0147.35104Sobolevskij, P. E.; Pogorelenko, V. A. 1 1967 Second-order differential equations in Banach space. Zbl 0149.35902Sobolevskij, P. E. 1 1962 The Cauchy problem for second order differential equations in Banach spaces. Zbl 0167.15103Raskin, V. G.; Sobolevskij, P. E. 1 1968 Über elliptische Gleichungen im Banachraum. Zbl 0165.49404Sobolevskij, P. E. 1 1968 General boundary value problems for parabolic equations investigated by the method of differential equations in Banach space. Zbl 0171.07904Sobolevskij, P. E. 1 1966 The Bubnov-Galerkin method for parabolic equations in Hilbert space. Zbl 0203.40402Sobolevskij, P. E. 1 1968 On the solvability of mixed problems for one-dimensional quasilinear hyperbolic equations. Zbl 0205.10201Sobolevskij, P. E.; Pogorelenko, V. A. 1 1970 Kongruenzsätze für die Normen der Lösungen linearer homogener Differentialgleichungen in Hilberträumen. Zbl 0216.11901Smagin, V. V.; Sobolevskij, P. E. 1 1970 Fractional powers of weakly positive operators. Zbl 0184.35701Sobolevskij, P. E. 1 1966 Well-posedness of difference elliptic equation. Zbl 0904.39007Sobolevskii, Pavel E. 1 1996 Investigation of weak solutions of the Oldroyd model for viscoelastic fluid. Zbl 0816.76006Agranovich, Yu. Ya.; Sobolevskij, P. E. 1 1991 On periodic solutions of hyperbolic equations. Zbl 0224.35052Sobolevskij, P. E.; Pogorelenko, V. A. 1 1970 Coercive solvability of a boundary-value problem for a second-order elliptic equation in Banach space. I. Zbl 0229.35026Anosov, V. P.; Sobolevskij, P. E. 1 1971 The motion of a nonlinear viscoelastic fluid. Zbl 0738.76001Agranovich, Yu. Ya.; Sobolevskij, P. E. 1 1990 Dependence of fractional powers of elliptic operators on boundary conditions. Zbl 0794.35041Sobolevskij, Pavel E. 1 1992 Solvability of longitudinal oscillations of a viscoelastic one-dimensional continuum. Zbl 0682.35064Orlov, V. P.; Sobolevskij, P. E. 1 1988 Elliptic and parabolic operators in the space C. Zbl 0705.35036Sobolevskij, P. E. 1 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. Zbl 0611.34054Sil’chenko, Yu. T.; Sobolevskij, P. E. 1 1986 Coercive estimates of accuracy of the Euler method for parabolic equations with variable operators. Zbl 0728.65054Smagin, V. V.; Sobolevskij, P. E. 1 1989 Correct solvability of the Crank-Nicolson difference scheme for parabolic equations. Zbl 0532.65071Ashyralyev, A. O.; Sobolevskij, P. E. 1 1981 On the Crank-Nicolson difference scheme for parabolic equations. Zbl 0545.65072Sobolevskiĭ, P. E. 1 1978 A note on the parabolic differential and difference equations. Zbl 1153.35353Ashyralyev, Allaberen; Sozen, Yasar; Sobolevskii, Pavel E. 4 2007 Some improvements of Hölder results. Zbl 1132.26344Sobolevskii, M.; Sobolevskii, P. 2 2007 A note on the difference schemes for hyperbolic-elliptic equations. Zbl 1133.65058Ashyralyev, A.; Judakova, G.; Sobolevskii, P. E. 7 2006 Well-posedness of the difference schemes of the high order of accuracy for elliptic equations. Zbl 1102.65085Ashyralyev, Allaberen; Sobolevskiĭ, Pavel E. 5 2006 Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations. Zbl 1094.65077Ashyralyev, Allaberen; Sobolevskii, Pavel E. 26 2005 A new method of summation of Fourier series converging in \(C\)-norm. Zbl 1096.47045Sobolevskii, Pavel 8 2005 New difference schemes for partial differential equations. Zbl 1060.65055Ashyralyev, Allaberen; Sobolevskii, Pavel E. 66 2004 On well-posedness of the nonlocal boundary value problem for parabolic difference equations. Zbl 1077.39015Ashyralyev, A.; Karatay, I.; Sobolevskii, P. E. 49 2004 On difference schemes for hyperbolic-elliptic equations. Zbl 1354.65212Ashyralyev, A.; Judakova, G.; Sobolevskii, P. E. 11 2004 On the two-step high order of accuracy difference schemes for second order differential equations. Zbl 1069.65090Ashyralyev, 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 1053.65054Ashyralyev, A.; Sobolevskii, P. E. 4 2003 Focal decompositions for linear differential equations of the second order. Zbl 1080.34513Birbrair, L.; Sobolevsky, M.; Sobolevskii, P. 2 2003 A note on the difference schemes for hyperbolic equations. Zbl 1007.65064Ashyralyev, A.; Sobolevskii, P. E. 31 2001 Coercive solvability of the nonlocal boundary value problem for parabolic differential equations. Zbl 0996.35027Ashyralyev, A.; Hanalyev, A.; Sobolevskii, P. E. 16 2001 On the stability of the linear delay differential and difference equations. Zbl 1002.65098Ashyralyev, A.; Sobolevskii, P. E. 7 2001 Motion of nonlinear visco-elastic fluid. Zbl 0949.76006Agranovich, Yuri Ya.; Sobolevskii, Pavel E. 23 1998 The sharp constant in Hardy’s inequality for complement of bounded domain. Zbl 0930.26009Matskewich, T.; Sobolevskii, P. E. 8 1998 The best possible constant in generalized Hardy’s inequality for convex domain in \(\mathbb{R}^ n\). Zbl 0876.46025Matskewich, Tanya; Sobolevskii, Pavel E. 53 1997 Well-posedness of difference elliptic equation. Zbl 0928.39002Sobolevskii, Pavel E. 15 1997 The “counter-example” to W. Littman counter-example of \(L_p\)-energetical inequality for wave equation. Zbl 0927.35056Pogorelenko, V.; Sobolevskii, P. 2 1997 Asymptotics of stable viscoelastic fluid motion (Oldroyd’s mathematical model). Zbl 0844.76005Sobolevskij, P. E. 8 1996 Well-posedness of difference elliptic equation. Zbl 0904.39007Sobolevskii, Pavel E. 1 1996 Well-posed solvability of the Cauchy problem for difference equations of parabolic type. Zbl 0818.65047Ashyralyev, 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 0866.35048Sobolevskii, P. 2 1995 Stabilization of viscoelastic fluid motion (Oldroyd’s mathematical model). Zbl 0809.35087Sobolevskij, P. E. 5 1994 Well-posedness of parabolic difference equations. Transl. from the Russian by A. Iacob. Zbl 0803.65089Ashyralev, Allaberen; Sobolevskij, Pavel E. 4 1994 Dependence of fractional powers of elliptic operators on boundary conditions. Zbl 0794.35041Sobolevskij, Pavel E. 1 1992 On mathematical models of a viscoelasticity with a memory. Zbl 0732.73022Orlov, V. P.; Sobolevskii, P. E. 27 1991 Investigation of weak solutions of the Oldroyd model for viscoelastic fluid. Zbl 0816.76006Agranovich, Yu. Ya.; Sobolevskij, P. E. 1 1991 The motion of a nonlinear viscoelastic fluid. Zbl 0738.76001Agranovich, Yu. Ya.; Sobolevskij, P. E. 1 1990 Investigation of the mathematical model of viscoelastic fluid. Zbl 0696.76011Agranovich, Yu. Ya.; Sobolevskij, P. E. 4 1989 Investigation of mathematical models of multidimensional viscoelastic media. Zbl 0716.73032Orlov, V. P.; Sobolevskij, P. E. 3 1989 The elliptic and parabolic boundary value problems with a singular estimate of the coefficient. Zbl 0702.35070Lezhenina, I. F.; Sobolevskij, P. E. 2 1989 Elliptic and parabolic operators in the space C. Zbl 0705.35036Sobolevskij, P. E. 1 1989 Coercive estimates of accuracy of the Euler method for parabolic equations with variable operators. Zbl 0728.65054Smagin, V. V.; Sobolevskij, P. E. 1 1989 Difference schemes of high order accuracy for parabolic equations with variable coefficients. Zbl 0652.65063Ashyralyev, A.; Sobolevskij, P. E. 6 1988 Solvability of longitudinal oscillations of a viscoelastic one-dimensional continuum. Zbl 0682.35064Orlov, V. P.; Sobolevskij, P. E. 1 1988 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 0611.34054Sil’chenko, Yu. T.; Sobolevskij, P. E. 1 1986 Interpolation theory of linear operators and stability of difference schemes. Zbl 0598.65038Ashyralyev, A. O.; Sobolevskij, P. E. 6 1984 The positivity of difference operators. Zbl 0516.47019Sobolevskiĭ, P. E.; Smirnitskiĭ, Yu. A. 10 1981 Difference schemes of optimal type for an approximate solution of parabolic equations (Banach case). Zbl 0484.65033Sobolevskij, P. E.; Laj, Khoang Van 1 1981 Correct solvability of the Crank-Nicolson difference scheme for parabolic equations. Zbl 0532.65071Ashyralyev, A. O.; Sobolevskij, P. E. 1 1981 Über Stabilität und Konvergenz von Differenzenschemata höherer Approximationsordnung für parabolische partielle Differentialgleichungen. Zbl 0445.65105Alibekov, Kh. A.; Sobolevskij, P. E. 1 1980 Über Stabilität und Konvergenz von Differenzenschemata hoher Ordnung bei der Approximation für parabolische Gleichungen. Zbl 0424.65045Alibekov, Kh. A.; Sobolevskij, P. E. 2 1979 L-characteristics of fractional powers of difference operators. Zbl 0449.47026Gurova, I. N.; Sobolevskij, P. E. 1 1979 On the Crank-Nicolson difference scheme for parabolic equations. Zbl 0545.65072Sobolevskiĭ, P. E. 1 1978 Über einige Differenzenmethoden zur Näherungslösung instationärer Navier-Stokesscher Gleichungen. Zbl 0352.35073Zagorodnikov, Ju. I.; Sobolevskii, P. E. 2 1977 On the stability of difference schemes for parabolic equations. Zbl 0416.65063Alibekov, Kh. A.; Sobolevskij, P. E. 2 1977 Approximative Lösung durch das Geradenverfahren des Cauchyproblems für eine abstrakte hyperbolische Gleichung. Zbl 0397.34081Sobolevskij, P. E.; Chebotarova, L. M. 1 1977 Integral operators in spaces of summable functions. Translated by T. Ando. Zbl 0312.47041Krasnosel’skiĭ, M. A.; Zabreĭko, P. P.; Pustylnik, E. I.; Sobolevskiĭ, P. E. 47 1976 Über die Methode von Rothe zur genäherten Lösung des Cauchyproblems für Differentialgleichungen im Banachraum mit einem variablen unbeschränkten Operator. Zbl 0349.34047Polichka, A. E.; Sobolevskij, P. E. 4 1976 New \(L_p\) estimates for parabolic difference problems. Zbl 0359.35068Policka, A. E.; Sobolevskii, P. E. 1 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 0368.35050Zagorodnikov, Ju. I.; Sobolevskii, P. E. 1 1976 Correct solvability of an extended boundary-value problem for a parabolic equation. Zbl 0321.35044Sobolevskiĭ, P. E.; Shteĭnvil’, È. A. 1 1976 Resolvente und gebrochene Potenzen gewöhnlicher Differentialoperatoren in Räumen glatter Funktionen. Zbl 0333.47020Evzerov, I. D.; Sobolevskii, P. E. 1 1976 Fractional powers of coercively positive sums of operators. Zbl 0333.47010Sobolevskii, P. E. 25 1975 Coercive solvability of general boundary value problems for second order elliptic differential equations in a Banach space. II. Zbl 0317.34048Gershteĭn, L. M.; Sobolevskiĭ, P. E. 1 1975 On the resolvent of a degenerate operator in Banach space. Zbl 0329.34052Orlov, V. P.; Sobolevskii, P. E. 1 1975 Fractional powers of ordinary differential operators. Zbl 0316.34014Evzerov, 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 0303.34048Gershteĭn, L. M.; Sobolevskiĭ, P. E. 2 1974 Embedding theorems for fractional norms generated by an elliptic operator. Zbl 0309.47034Smirnickii, Ju. A.; Sobolevskii, P. E. 2 1974 On elliptic equations in Banach space. Zbl 0235.34126Sobolevskiĭ, P. E. 2 1972 On coercive solvability of parabolic equations. Zbl 0244.35054Anosov, V. P.; Sobolevskii, P. E. 1 1972 On coercive solvability of difference equations. Zbl 0246.39002Sobolevskii, P. E. 15 1971 On semigroups of growth \(\alpha\). Zbl 0241.47030Sobolevskii, P. E. 5 1971 On degenerate parabolic operators. Zbl 0263.34064Sobolevskii, P. E. 2 1971 Koerzitive Lösbarkeit des Randwertproblems für eine elliptische Gleichung zweiter Ordnung im Banachraum. II. Zbl 0246.35031Anosov, 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 0229.35026Anosov, V. P.; Sobolevskij, P. E. 1 1971 Parabolic differential equations in a Banach space. Zbl 0278.34054Sobolevskii, P. E. 6 1970 Über die Lösbarkeit gemischter Probleme für homogene quasilineare hyperbolische Gleichungen. Zbl 0191.11501Sobolevskij, P. E.; Pogorelenko, V. A. 5 1970 On the solvability of mixed problems for one-dimensional quasilinear hyperbolic equations. Zbl 0205.10201Sobolevskij, P. E.; Pogorelenko, V. A. 1 1970 Kongruenzsätze für die Normen der Lösungen linearer homogener Differentialgleichungen in Hilberträumen. Zbl 0216.11901Smagin, V. V.; Sobolevskij, P. E. 1 1970 On periodic solutions of hyperbolic equations. Zbl 0224.35052Sobolevskij, P. E.; Pogorelenko, V. A. 1 1970 The Cauchy problem for second order differential equations in Banach spaces. Zbl 0167.15103Raskin, V. G.; Sobolevskij, P. E. 1 1968 Über elliptische Gleichungen im Banachraum. Zbl 0165.49404Sobolevskij, P. E. 1 1968 The Bubnov-Galerkin method for parabolic equations in Hilbert space. Zbl 0203.40402Sobolevskij, P. E. 1 1968 Cauchysches Problem für Differentialgleichungen zweiter Ordnung in Banachräumen. Zbl 0147.35103Raskin, V. G.; Sobolevskij, P. E. 1 1967 Hyperbolische Gleichungen im Hilbertraum. Zbl 0147.35104Sobolevskij, P. E.; Pogorelenko, V. A. 1 1967 Integral operators in spaces of summable functions. (Интегральные операторы в пространствах суммируемых функций.) Zbl 0145.39703Krasnosel’skiĭ, M. A.; Zabreĭko, P. P.; Pustyl’nik, E. I.; Sobolevskiĭ, P. E. 68 1966 Equations of parabolic gype in a Banach space. Zbl 0178.50301Sobolevskij, P. E. 14 1966 On a theorem of E. Hille. Zbl 0144.17801Mamedov, Ya. D.; Sobolevskij, P. E. 1 1966 General boundary value problems for parabolic equations investigated by the method of differential equations in Banach space. Zbl 0171.07904Sobolevskij, P. E. 1 1966 Fractional powers of weakly positive operators. Zbl 0184.35701Sobolevskij, P. E. 1 1966 Coerciveness inequalities for abstract parabolic equations. Zbl 0149.36001Sobolevskij, P. E. 20 1964 Study of Navier-Stokes equations by the methods of the theory of parabolic equations in Banach spaces. Zbl 0201.18301Sobolevskij, P. E. 5 1964 On generating operators of semigroups. Zbl 0117.34301Maz’ya, V. G.; Sobolevskiĭ, P. E. 2 1962 Second-order differential equations in Banach space. Zbl 0149.35902Sobolevskij, 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 0104.09303Sobolevskij, P. E. 5 1961 Local and nonlocal existence theorems for nonlinear second-order parabolic equations. Zbl 0196.40301Sobolevskij, P. E. 3 1961 Über Gleichungen parabolischen Typs im Banachraum. Zbl 0141.32701Sobolevskij, P. E. 2 1961 On the smoothness of generalized solutions of the Navier-Stokes equations. Zbl 0105.38904Sobolevskij, P. E. 3 1960 Fractional powers of operators acting in Banach spaces. Zbl 0090.09102Krasnosel’skij, M. A.; Sobolevskij, P. E. 6 1959 Non-stationary equations of viscous fluid dynamics. Zbl 0092.43104Sobolevskij, P. E. 5 1959 Differential equation with abstract elliptical operator in Hilbert space. Zbl 0082.11702Krejn, S. G.; Sobolevskij, P. E. 3 1958 First order differential equations in Hilbert space with a variable positively defined self-adjoined operator whose fractional power has a constant definition domain. Zbl 0086.32101Sobolevskij, P. E. 3 1958 On equations with operators forming an acute angle. Zbl 0081.11802Sobolevskij, P. E. 14 1957 On differential equations with unbounded operators in Hilbert space. Zbl 0078.29702Krasnosel’skij, M. A.; Krejn, S. G.; Sobolevskij, P. E. 2 1957 On differential equations with unlimited operators in Banach spaces. Zbl 0073.10401Krasnosel’skij, M. A.; Krejn, S. G.; Sobolevskij, P. E. 1 1956 all cited Publications top 5 cited Publications all top 5 Cited by 534 Authors 89 Ashyralyev, Allaberen 24 Orlov, Vladimir P. 19 Zvyagin, Viktor Grigor’evich 12 Sobolevskii, Pavel Evseyevich 11 Avkhadiev, Farit Gabidinovich 10 Ashyralyyev, Charyyar 9 Marcus, Moshe M. 9 Mizel, Victor J. 8 Ashyraliyev, Maksat 8 Yildirim, Ozgur 7 Ağirseven, Deniz 7 Koksal, Mehmet Emir 7 Zabreĭko, Pëtr Petrovich 6 Amann, Herbert 6 Erdogan, Abdullah Said 6 Piskarëv, S. I. 6 Sozen, Yasar 5 Akturk, Sema 5 Väth, Martin 4 Aggez, Necmettin 4 Appell, Jürgen M. 4 Banaś, Józef 4 Belakroum, Kheireddine 4 Cuevas, Claudio 4 Dal, Fadime 4 Gercek, Okan 4 He, Yinnian 4 Kalitvin, Anatolij S. 4 Levenshtam, Valeriĭ Borisovich 4 Nasibullin, Ramil Gaisa’evich 4 Ozturk, Elif 4 Rogava, Jemal L. 4 Selitskii, Anton Mikhailovich 4 Uzun, Meltem 4 Wang, Kun 4 Zarubin, A. G. 3 Abdellaoui, Boumediene 3 Acquistapace, Paolo 3 Biroud, Kheireddine 3 Erzakova, Nina A. 3 Favini, Angelo 3 Giga, Yoshikazu 3 Guezane-Lakoud, Assia 3 Hamad, Ayman 3 Kharibegashvili, S. S. 3 Krylov, Nicolaĭ Vladimirovich 3 Lakeyev, Anatoliĭ Valentinovich 3 Laptev, Ari 3 Linke, Yuriĭ Èrnievich 3 Modanli, Mahmut 3 Mohan, Manil Thankamani 3 Ozdemir, Yildirim 3 Redlinger, Reinhard 3 Rehberg, Joachim 3 Rusanov, Vyacheslav Anatolievich 3 Semënov, Evgeniĭ Mikhaĭlovich 3 Si, Zhiyong 3 Terreni, Brunello 3 Vinogradova, P. V. 3 Yurtsever, Hasan Ali 2 Adiyaman, Meltem Evrenosoglu 2 Agarwal, Ravi P. 2 Aliev, Bahram A. 2 Arjmand, Doghonay 2 Baranovskiĭ, Evgeniĭ Sergeevich 2 Barbatis, Gerassimos 2 Birbrair, Lev 2 Brézis, Haïm 2 Byeon, Jaeyoung 2 Cao, Jun 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 Deugoue, Gabriel 2 Direk, Zilal 2 Fan, Zhenbin 2 Farwig, Reinhard 2 Feng, Xinlong 2 Filippas, Stathis 2 Frank, Rupert L. 2 Gavrilyuk, Ivan P. 2 Görlich, Ernst 2 Gulua, D. V. 2 Guo, Yingwen 2 Gurevich, Pavel L. 2 Gutlyanskiĭ, Vladimir Ya. 2 Haller-Dintelmann, Robert 2 Hanalyev, A. R. 2 Hieber, Matthias 2 Jidjou Moghomye, B. 2 Kotschote, Matthias 2 Kovařík, Hynek 2 Krylov, A. V. 2 Kuchment, Peter A. 2 Kundu, Sudeep ...and 434 more Authors all top 5 Cited in 138 Serials 35 Journal of Mathematical Analysis and Applications 29 Abstract and Applied Analysis 20 Nonlinear Analysis. 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Serie IV 4 Czechoslovak Mathematical Journal 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 Lobachevskii Journal of Mathematics 4 Proceedings of the Steklov Institute of Mathematics 3 Israel Journal of Mathematics 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 Izvestiya: Mathematics 3 Mathematical Problems in Engineering 3 Doklady Mathematics 3 Journal of Mathematical Fluid Mechanics 2 Communications in Mathematical Physics 2 Journal of the Franklin Institute 2 Mathematical Methods in the Applied Sciences 2 Advances in Mathematics 2 BIT 2 Integral Equations and Operator Theory 2 Proceedings of the Japan Academy. Series A 2 Tôhoku 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 The Journal of Geometric Analysis 2 Numerical Algorithms 2 Stochastic Processes and their Applications 2 NoDEA. Nonlinear Differential Equations and Applications 2 Fractional Calculus & Applied Analysis 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 Mathematical Physics 1 Russian Mathematical Surveys 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 The Annals of Probability 1 Applied Mathematics and Optimization 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. 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Série VI ...and 38 more Serials all top 5 Cited in 41 Fields 298 Partial differential equations (35-XX) 137 Numerical analysis (65-XX) 124 Operator theory (47-XX) 97 Ordinary differential equations (34-XX) 61 Fluid mechanics (76-XX) 56 Real functions (26-XX) 49 Functional analysis (46-XX) 37 Integral equations (45-XX) 24 Difference and functional equations (39-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 19 Mechanics of deformable solids (74-XX) 15 Probability theory and stochastic processes (60-XX) 9 Classical thermodynamics, heat transfer (80-XX) 9 Systems theory; control (93-XX) 8 Functions of a complex variable (30-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Potential theory (31-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Measure and integration (28-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Biology and other natural sciences (92-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 3 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Special functions (33-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year