Edit Profile Gushchin, Anatoliĭ Konstantinovich Compute Distance To: Compute Author ID: gushchin.anatolii-konstantinovich Published as: Gushchin, A. K.; Gushchin, Anatolii K.; Gushchin, Anatoliĭ Konstantinovich Documents Indexed: 80 Publications since 1967, including 1 Book all top 5 Co-Authors 48 single-authored 21 Mikhajlov, Valentin Petrovich 8 Mikhaĭlov, V. P. 6 Vladimirov, Vasiliĭ Sergeevich 5 Volovich, Igor’ Vasil’evich 4 Drozhzhinov, Yuriĭ Nikolaevich 4 Zharinov, Victor Victorovich 3 Il’in, Vladimir Aleksandrovich 2 Bogoyavlenskij, Oleg Igorevich 2 Dezin, Alekseĭ Alekseevich 2 Mikhajlov, Yu. A. 2 Millionshchikov, Vladimir Mikhaĭlovich 2 Moiseev, Evgeniĭ Ivanovich 2 Pal’tsev, B. V. 2 Zav’yalov, Boris Ivanovich 1 Marchuk, Guriĭ Ivanovich 1 Maslennikova, Vera Nikolaevna 1 Mikhailov, V. I. 1 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 1 Pontryagin, Lev Semënovich 1 Romanko, V. K. 1 Samarskiĭ, Aleksandr Andreevich 1 Sergeev, Armen Glebovich all top 5 Serials 12 Soviet Mathematics. Doklady 10 Mathematics of the USSR, Sbornik 10 Sbornik: Mathematics 8 Doklady Mathematics 8 Proceedings of the Steklov Institute of Mathematics 6 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 4 Differential Equations 4 Matematicheskiĭ Sbornik. Novaya Seriya 3 Differentsial’nye Uravneniya 2 Russian Mathematical Surveys 2 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Theoretical and Mathematical Physics 1 Applied Mathematics and Optimization 1 Siberian Mathematical Journal 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Russian Academy of Sciences. Doklady. Mathematics 1 Lektsionnye Kursy NOTs all top 5 Fields 69 Partial differential equations (35-XX) 6 History and biography (01-XX) 4 Operator theory (47-XX) 3 Functional analysis (46-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Integral equations (45-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 40 Publications have been cited 160 times in 71 Documents Cited by ▼ Year ▼ On the Dirichlet problem for a second-order elliptic equation. Zbl 0683.35013Gushchin, A. K. 15 1990 A criterion for uniform stabilization of solutions of the second mixed problem for a parabolic equation. Zbl 0509.35045Gushchin, A. K. 11 1982 The Dirichlet problem for a second-order elliptic equation with an \(L_{p}\) boundary function. Zbl 1244.35038Gushchin, A. K. 9 2012 The compactness condition for a class of operators and its application to the investigation of the solvability of nonlocal problems for elliptic equations. Zbl 1085.35058Gushchin, A. K. 9 2002 On the existence of boundary values of solutions of an elliptic equation. Zbl 0781.35020Gushchin, A. K.; Mikhajlov, V. P. 9 1992 On the continuity of the solutions of a class of non-local problems for an elliptic equation. Zbl 0849.35025Gushchin, A. K.; Mikhailov, V. I. 8 1995 \(L_p\)-estimates for the nontangential maximal function of the solution to a second-order elliptic equation. Zbl 1375.35141Gushchin, Anatolii K. 7 2016 On boundary values in \(L_ p\), \(p>1\), of solutions of elliptic equations. Zbl 0453.35035Gushchin, A. K.; Mikhajlov, V. P. 7 1980 Solvability of the Dirichlet problem for an inhomogeneous second-order elliptic equation. Zbl 1333.35035Gushchin, A. K. 6 2015 A strengthening of the interior Hölder continuity property for solutions of the Dirichlet problem for a second-order elliptic equation. Zbl 1155.35325Gushchin, A. K. 6 2008 Additional chapters of the course “Equations of mathematical physics”. Zbl 1278.35001Mikhaĭlov, V. P.; Gushchin, A. K. 6 2007 Estimates of the nontangential maximal function for solutions of a second-order elliptic equation. Zbl 1271.35014Gushchin, A. K. 5 2012 Solvability of the Dirichlet problem for a second-order elliptic equation with a boundary function from \(L_{p}\). Zbl 1272.35081Gushchin, A. K. 5 2011 On the interior smoothness of solutions to second-order elliptic equations. Zbl 1114.35037Gushchin, A. K. 5 2005 On solvability of nonlocal problems for a second-order elliptic equation. Zbl 0827.35034Gushchin, A. K.; Mikhajlov, V. P. 5 1994 The rate of stabilization of a solution of a parabolic equation in an unbounded region. Zbl 0234.35041Gushchin, A. K. 5 1970 Boundary value problems of mathematical physics. Zbl 0627.35080Bogoyavlenskij, O. I.; Vladimirov, V. S.; Volovich, I. V.; Gushchin, A. K.; Drozhzhinov, Yu. N.; Zharinov, V. V.; Mikhajlov, V. P. 4 1986 On the speed of stabilization of the solution of a boundary problem for a parabolic equation. Zbl 0183.10802Gushchin, A. K. 4 1969 The Luzin area integral and the nontangential maximal function for solutions to a second-order elliptic equation. Zbl 1402.35100Gushchin, A. K. 3 2018 V. A. Steklov’s work on equations of mathematical physics and development of his results in this field. Zbl 1339.35204Gushchin, A. K. 3 2015 Some properties of the solutions of the Dirichlet problem for a second-order elliptic equation. Zbl 0918.35044Gushchin, A. K. 3 1998 On the stabilization of the solution of a parabolic equation. Zbl 0197.37501Gushchin, A. K. 3 1968 A criterion for the existence of \(L_p\) boundary values of solutions to an elliptic equation. Zbl 1401.35059Gushchin, A. K. 2 2018 On uniform stabilization of the solution of the second mixed problem for a second order parabolic equation. Zbl 0645.35038Gushchin, A. K.; Mikhajlov, V. P.; Mikhajlov, Yu. A. 2 1987 On the uniform stabilization of solutions of the second mixed problem for a parabolic equation. Zbl 0554.35055Gushchin, A. K. 2 1984 Certain properties of the generalized solution of a second order boundary value problem for a parabolic equation. Zbl 0323.35041Gushchin, A. K. 2 1975 Smoothness of solutions to the Dirichlet problem for a second-order elliptic equation with a square integrable boundary function. Zbl 1161.35352Gushchin, A. K. 1 2007 On the univalent solvability of nonlocal problems for an elliptic equation. Zbl 0896.35035Gushchin, A. K.; Mikhailov, V. P. 1 1996 Boundary value problems of mathematical physics. Zbl 0698.35122Bogoyavlenskij, O. I.; Vladimirov, V. S.; Volovich, I. V.; Gushchin, A. K.; Drozhzhinov, Yu. N.; Zharinov, V. V.; Mikhajlov, V. P. 1 1988 On uniform stabilization of the solution of the Cauchy problem for a second order hyperbolic equation. Zbl 0584.35064Gushchin, A. K.; Mikhaĭlov, V. P. 1 1986 On uniform stabilization of the solution of the Cauchy problem for a second order hyperbolic equation. Zbl 0567.35052Gushchin, A. K.; Mikhaĭlov, V. P. 1 1984 On the behaviour as \(t \to \infty\) of solutions of the second mixed problem for a second-order parabolic equation. Zbl 0452.35046Gushchin, A. K. 1 1980 Stabilization of the solutions of the second boundary value problem for a second order parabolic equation. Zbl 0387.35007Gushchin, A. K. 1 1978 On an estimate of the Dirichlet integral in unbounded domains. Zbl 0368.35013Gushchin, A. K. 1 1978 Some properties of a generalized solution of the second boundaryvalue problem for a parabolic equation. Zbl 0338.35047Gushchin, A. K. 1 1976 On estimates of the solutions of boundary value problems for a parabolic equation of second order. Zbl 0296.35044Gushchin, A. K. 1 1975 Über Schranken der Lösungen von Randwertproblemen für eine parabolische Gleichung zweiter Ordnung. Zbl 0288.35029Gushchin, A. K. 1 1973 Stabilization of solutions of Cauchy’s problem for a parabolic equation. Zbl 0266.35037Gushchin, A. K.; Mikhajlov, V. P. 1 1973 On stabilization of the solution of the Cauchy problem for a parabolic equation. Zbl 0212.13001Gushchin, A. K.; Mikhajlov, V. P. 1 1970 Gewisse Abschätzungen der Lösungen von Randwertproblemen für die Wärmeleitungsgleichung in einem nichtbeschränkten Gebiet. Zbl 0165.44103Gushchin, A. K. 1 1967 The Luzin area integral and the nontangential maximal function for solutions to a second-order elliptic equation. Zbl 1402.35100Gushchin, A. K. 3 2018 A criterion for the existence of \(L_p\) boundary values of solutions to an elliptic equation. Zbl 1401.35059Gushchin, A. K. 2 2018 \(L_p\)-estimates for the nontangential maximal function of the solution to a second-order elliptic equation. Zbl 1375.35141Gushchin, Anatolii K. 7 2016 Solvability of the Dirichlet problem for an inhomogeneous second-order elliptic equation. Zbl 1333.35035Gushchin, A. K. 6 2015 V. A. Steklov’s work on equations of mathematical physics and development of his results in this field. Zbl 1339.35204Gushchin, A. K. 3 2015 The Dirichlet problem for a second-order elliptic equation with an \(L_{p}\) boundary function. Zbl 1244.35038Gushchin, A. K. 9 2012 Estimates of the nontangential maximal function for solutions of a second-order elliptic equation. Zbl 1271.35014Gushchin, A. K. 5 2012 Solvability of the Dirichlet problem for a second-order elliptic equation with a boundary function from \(L_{p}\). Zbl 1272.35081Gushchin, A. K. 5 2011 A strengthening of the interior Hölder continuity property for solutions of the Dirichlet problem for a second-order elliptic equation. Zbl 1155.35325Gushchin, A. K. 6 2008 Additional chapters of the course “Equations of mathematical physics”. Zbl 1278.35001Mikhaĭlov, V. P.; Gushchin, A. K. 6 2007 Smoothness of solutions to the Dirichlet problem for a second-order elliptic equation with a square integrable boundary function. Zbl 1161.35352Gushchin, A. K. 1 2007 On the interior smoothness of solutions to second-order elliptic equations. Zbl 1114.35037Gushchin, A. K. 5 2005 The compactness condition for a class of operators and its application to the investigation of the solvability of nonlocal problems for elliptic equations. Zbl 1085.35058Gushchin, A. K. 9 2002 Some properties of the solutions of the Dirichlet problem for a second-order elliptic equation. Zbl 0918.35044Gushchin, A. K. 3 1998 On the univalent solvability of nonlocal problems for an elliptic equation. Zbl 0896.35035Gushchin, A. K.; Mikhailov, V. P. 1 1996 On the continuity of the solutions of a class of non-local problems for an elliptic equation. Zbl 0849.35025Gushchin, A. K.; Mikhailov, V. I. 8 1995 On solvability of nonlocal problems for a second-order elliptic equation. Zbl 0827.35034Gushchin, A. K.; Mikhajlov, V. P. 5 1994 On the existence of boundary values of solutions of an elliptic equation. Zbl 0781.35020Gushchin, A. K.; Mikhajlov, V. P. 9 1992 On the Dirichlet problem for a second-order elliptic equation. Zbl 0683.35013Gushchin, A. K. 15 1990 Boundary value problems of mathematical physics. Zbl 0698.35122Bogoyavlenskij, O. I.; Vladimirov, V. S.; Volovich, I. V.; Gushchin, A. K.; Drozhzhinov, Yu. N.; Zharinov, V. V.; Mikhajlov, V. P. 1 1988 On uniform stabilization of the solution of the second mixed problem for a second order parabolic equation. Zbl 0645.35038Gushchin, A. K.; Mikhajlov, V. P.; Mikhajlov, Yu. A. 2 1987 Boundary value problems of mathematical physics. Zbl 0627.35080Bogoyavlenskij, O. I.; Vladimirov, V. S.; Volovich, I. V.; Gushchin, A. K.; Drozhzhinov, Yu. N.; Zharinov, V. V.; Mikhajlov, V. P. 4 1986 On uniform stabilization of the solution of the Cauchy problem for a second order hyperbolic equation. Zbl 0584.35064Gushchin, A. K.; Mikhaĭlov, V. P. 1 1986 On the uniform stabilization of solutions of the second mixed problem for a parabolic equation. Zbl 0554.35055Gushchin, A. K. 2 1984 On uniform stabilization of the solution of the Cauchy problem for a second order hyperbolic equation. Zbl 0567.35052Gushchin, A. K.; Mikhaĭlov, V. P. 1 1984 A criterion for uniform stabilization of solutions of the second mixed problem for a parabolic equation. Zbl 0509.35045Gushchin, A. K. 11 1982 On boundary values in \(L_ p\), \(p>1\), of solutions of elliptic equations. Zbl 0453.35035Gushchin, A. K.; Mikhajlov, V. P. 7 1980 On the behaviour as \(t \to \infty\) of solutions of the second mixed problem for a second-order parabolic equation. Zbl 0452.35046Gushchin, A. K. 1 1980 Stabilization of the solutions of the second boundary value problem for a second order parabolic equation. Zbl 0387.35007Gushchin, A. K. 1 1978 On an estimate of the Dirichlet integral in unbounded domains. Zbl 0368.35013Gushchin, A. K. 1 1978 Some properties of a generalized solution of the second boundaryvalue problem for a parabolic equation. Zbl 0338.35047Gushchin, A. K. 1 1976 Certain properties of the generalized solution of a second order boundary value problem for a parabolic equation. Zbl 0323.35041Gushchin, A. K. 2 1975 On estimates of the solutions of boundary value problems for a parabolic equation of second order. Zbl 0296.35044Gushchin, A. K. 1 1975 Über Schranken der Lösungen von Randwertproblemen für eine parabolische Gleichung zweiter Ordnung. Zbl 0288.35029Gushchin, A. K. 1 1973 Stabilization of solutions of Cauchy’s problem for a parabolic equation. Zbl 0266.35037Gushchin, A. K.; Mikhajlov, V. P. 1 1973 The rate of stabilization of a solution of a parabolic equation in an unbounded region. Zbl 0234.35041Gushchin, A. K. 5 1970 On stabilization of the solution of the Cauchy problem for a parabolic equation. Zbl 0212.13001Gushchin, A. K.; Mikhajlov, V. P. 1 1970 On the speed of stabilization of the solution of a boundary problem for a parabolic equation. Zbl 0183.10802Gushchin, A. K. 4 1969 On the stabilization of the solution of a parabolic equation. Zbl 0197.37501Gushchin, A. K. 3 1968 Gewisse Abschätzungen der Lösungen von Randwertproblemen für die Wärmeleitungsgleichung in einem nichtbeschränkten Gebiet. Zbl 0165.44103Gushchin, A. K. 1 1967 all cited Publications top 5 cited Publications all top 5 Cited by 51 Authors 13 Gushchin, Anatoliĭ Konstantinovich 5 Denisov, Vasiliĭ Nikolaevich 4 Grigor’yan, Alexander Asaturovich 4 Skubachevskij, Alexander L. 3 Andreucci, Daniele 3 Dumanyan, Vahram Zh. 3 Gurevich, Pavel L. 3 Jangveladze, Temur A. 3 Mukminov, Farit Khamzaevich 3 Tedeev, Anatoliĭ Fedorovich 3 Zharinov, Victor Victorovich 2 Chabrowski, Jan H. 2 Denisov, V. N. 2 Ishige, Kazuhiro 2 Lobjanidze, G. B. 2 Vlasov, Vladimir Ivanovich 1 Alkhutov, Yuriy Alexandrovich 1 Andriyanova, Èlina Radikovna 1 Barlow, Martin T. 1 Beĭlina, Natal’ya Viktorovna 1 Bezrodnykh, Sergeĭ I. 1 Buhrii, Nataliya V. 1 Buhrii, Oleh 1 Cirmi, Giuseppa Rita 1 Filinovskiĭ, Alexeĭ Vladislavovich 1 Galtsev, Oleg V. 1 Gilding, Brian H. 1 Guschin, A. K. 1 Gusev, Nikolaĭ Anatol’evich 1 Gutlyanskiĭ, Vladimir Ya. 1 Huang, Xueping 1 Katanaev, Mikhaĭl Orinovich 1 Kiguradze, Zurab V. 1 Kirichenko, S. V. 1 Kochubeĭ, Anatoliĭ Naumovych 1 Kostin, Andrey B. 1 Kozhanov, Aleksandr Ivanovich 1 Kumagai, Takashi 1 Leonardi, Salvatore 1 Lobjanidze, George 1 Meirmanov, Anvarbek Mukatovich 1 Mesloub, Said 1 Murata, Minoru 1 Muravnik, Andreĭ Borisovich 1 Nesmelova, Ol’ga Vladimirovna 1 Nunez, Manuel A. 1 Petrushko, Igor’ Meletievich 1 Rozkosz, Andrzej 1 Ryazanov, Vladimir Il’ich 1 Telcs, András 1 Uspenskiĭ, Stanislav Viktorovich all top 5 Cited in 32 Serials 10 Journal of Mathematical Sciences (New York) 6 Theoretical and Mathematical Physics 6 Sbornik: Mathematics 6 Proceedings of the Steklov Institute of Mathematics 4 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 3 Journal of Differential Equations 3 Doklady Mathematics 3 Differential Equations 2 Journal of Mathematical Analysis and Applications 2 Mathematical Notes 2 Rendiconti del Seminario Matematico della Università di Padova 2 Siberian Mathematical Journal 2 Transactions of the Moscow Mathematical Society 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Mathematical Methods in the Applied Sciences 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 The Annals of Probability 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Journal of the Mathematical Society of Japan 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 Turkish Journal of Mathematics 1 Fractional Calculus & Applied Analysis 1 Complex Variables and Elliptic Equations 1 Discrete and Continuous Dynamical Systems. Series S 1 Eurasian Mathematical Journal 1 International Journal of Partial Differential Equations 1 Open Mathematics all top 5 Cited in 21 Fields 59 Partial differential equations (35-XX) 8 Global analysis, analysis on manifolds (58-XX) 5 Ordinary differential equations (34-XX) 4 Probability theory and stochastic processes (60-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 3 Fluid mechanics (76-XX) 2 Field theory and polynomials (12-XX) 2 Potential theory (31-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) Citations by Year