Edit Profile (opens in new tab) Kruzhkov, Stanislav Nicolayevich (b. 1936 d. 1997) Co-Author Distance Author ID: kruzhkov.stanislav-nicolayevich Published as: Kruzhkov, S. N.; Kružkov, S. N.; Kruzhkov, Stanislav N.; Kruzkov, S. N.; Kruzhkov, Stanislav; Kruzhkov, Stanislav Nicolayevich more...less External Links: MGP · Wikidata · Math-Net.Ru · IdRef Documents Indexed: 96 Publications since 1960, including 1 Book Biographic References: 1 Publication Co-Authors: 28 Co-Authors with 38 Joint Publications 1,004 Co-Co-Authors all top 5 Co-Authors 55 single-authored 6 Faminskii, Andrei V. 5 López Morales, Martín 4 Kolodiĭ, I. M. 3 Bénilan, Philippe 3 Panov, Evgeniy Yu. 3 Peregudov, A. N. 2 Castro, Abel 2 Kamynin, Vitaly Leonidovich 2 Oleĭnik, Ol’ga Arsen’evna 2 Petrosyan, N. S. 2 Sukoryanskiĭ, S. M. 1 Andreianov, Boris 1 Andreyanov, P. A. 1 Arnol’d, Vladimir Igorevich 1 Bakhvalov, Nikolaĭ Sergeevich 1 Castro, Alfonso 1 Díaz Díaz, Jesús Ildefonso 1 Dubinskiĭ, Yuliĭ Andreevich 1 Filippov, Alexey F. 1 Galkin, Valeriĭ Alekseevich 1 Ilyashenko, Yulij Sergeevich 1 Kalashnikov, Anatoliĭ Sergeevich 1 Kamynin, V. I. 1 Kondrat’ev, Vladimir Aleksandrovich 1 Korolev, A. G. 1 Kupcov, L. P. 1 Landis, Evgenii Mikhailovich 1 Millionshchikov, Vladimir Mikhaĭlovich 1 Shubin, Mikhail Aleksandrovich 1 Vishik, Marko Iosifovich 1 Yakubov, Sasun Ya. all top 5 Serials 17 Soviet Mathematics. Doklady 9 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 8 Matematicheskiĭ Sbornik. Novaya Seriya 6 Moscow University Mathematics Bulletin 6 Mathematics of the USSR, Sbornik 4 Russian Mathematical Surveys 3 Mathematical Notes 3 Matematicheskie Zametki 2 Dinamika Sploshnoĭ Sredy 2 Doklady Akademii Nauk SSSR 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Izvestiya Akademii Nauk UzSSR. Seriya Fiziko-Matematicheskikh Nauk 2 Revista Ciencias Matemáticas 2 Trudy Seminara Imeni I. G. Petrovskogo 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Differentsial’nye Uravneniya 1 Differential Equations 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Journal of Functional Analysis 1 Siberian Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Transactions of the Moscow Mathematical Society 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 Soviet Physics. Doklady 1 U.S.S.R. Computational Mathematics and Mathematical Physics 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Russian Academy of Sciences. Doklady. Mathematics 1 Journal of Mathematical Sciences (New York) 1 Vestnik Rossiĭskogo Universiteta Druzhby Narodov. Seriya Matematika 1 NoDEA. Nonlinear Differential Equations and Applications 1 PMM, Journal of Applied Mathematics and Mechanics 1 Proceedings of the Steklov Institute of Mathematics 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Translations. Series 2. American Mathematical Society all top 5 Fields 71 Partial differential equations (35-XX) 3 History and biography (01-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 1 Ordinary differential equations (34-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 65 Publications have been cited 1,451 times in 1,235 Documents Cited by ▼ Year ▼ First order quasilinear equations in several independent variables. Zbl 0215.16203 Kruzhkov, S. N. 572 1970 First order quasilinear equations with several independent variables. (Quasilineare Gleichungen erster Ordnung mit mehreren unabhängigen Veränderlichen.) Zbl 0202.11203 Kruzhkov, S. N. 251 1970 Quasilinear second-order parabolic equations with many independent variables. Zbl 0112.32604 Oleĭnik, O. A.; Kruzhkov, S. N. 47 1961 Generalized solutions of the Hamilton-Jacobi equations of eikonal type. I: Formulation of the problems; existence, uniqueness and stability theorems; some properties of the solutions. Zbl 0369.35012 Kružkov, S. N. 42 1977 Generalized solutions of the Cauchy problem for the Korteweg-de Vries equation. Zbl 0549.35104 Kruzhkov, S. N.; Faminskij, A. V. 40 1984 Conservation laws with continuous flux functions. Zbl 0961.35088 Bénilan, Philippe; Kruzhkov, Stanislav 35 1996 Generalized solutions of the Cauchy problem in the large for nonlinear equations of first order. Zbl 0202.37701 Kruzhkov, S. N. 35 1969 Conservative quasilinear first-order laws with an infinite domain of dependence on the initial data. Zbl 0789.35039 Kruzhkov, S. N.; Panov, E. Yu. 31 1990 Osgood’s type conditions for uniqueness of entropy solutions to Cauchy problem for quasilinear conservation laws of the first order. Zbl 0863.35060 Kruzhkov, S. N.; Panov, E. Yu. 29 1996 Some unsolved problems in the theory of differential equations and mathematical physics. Zbl 0703.35002 Arnol’d, V. I.; Vishik, M. I.; Il’yashenko, Yu. S.; Kalashnikov, A. S.; Kondrat’ev, V. A.; Kruzhkov, S. N.; Landis, E. M.; Millionshchikov, V. M.; Oleĭnik, O. A.; Filippov, A. F.; Shubin, M. A. 27 1989 On the theory of embedding of anisotropic Sobolev spaces. Zbl 0534.46022 Kruzhkov, S. N.; Kolodij, I. M. 26 1983 Results concerning the nature of the continuity of solutions of parabolic equations and some of their applications. Zbl 0189.10602 Kruzhkov, S. N. 22 1970 Boundary value problems for systems of equations of two-phase porous flow type; statement of the problems, questions of solvability, justification of approximate methods. Zbl 0398.35039 Kružkov, S. N.; Sukorjanskii, S. M. 21 1977 Generalized solutions of the Cauchy problem for the Korteweg-de Vries equation. Zbl 0537.35068 Kruzhkov, S. N.; Faminskij, A. V. 19 1983 \(L^1\)-theory of scalar conservation law with continuous flux function. Zbl 0944.35048 Andreianov, Boris P.; Bénilan, Philippe; Kruzhkov, Stanislav N. 19 2000 The Cauchy problem in the large for nonlinear equations and for certain quasilinear systems of the first order with several variables. Zbl 0138.34702 Kruzhkov, S. N. 16 1964 Boundary value problems for degenerate second order elliptic equations. (Randwertprobleme für entartete elliptische Gleichungen zweiter Ordnung.) Zbl 0175.11601 Kruzhkov, S. N. 15 1968 Nonlinear parabolic equations in two independent variables. Zbl 0194.13202 Kruzhkov, S. N. 12 1967 The Cauchy problem for some classes of quasi-linear parabolic equations. Zbl 0191.39703 Kruzhkov, S. N. 11 1970 Verallgemeinerte Lösungen nichtlinearer Gleichungen erster Ordnung mit mehreren unabhängigen Veränderlichen. I. Zbl 0152.09502 Kruzhkov, S. N. 10 1966 On some problems with unknown boundaries for the heat conduction equation. Zbl 0159.39604 Kruzhkov, S. N. 10 1967 Verallgemeinerte Lösungen der Hamilton-Jacobischen Gleichungen vom Typ des Eikonals. I: Problemstellung, Existenzsätze, Eindeutigkeit und Stabilität, einige Eigenschaften der Lösungen. Zbl 0325.35020 Kružkov, S. N. 10 1975 Certain properties of solutions to elliptic equations. Zbl 0148.35701 Kruzhkov, S. N. 9 1963 Nichtlineare parabolische Gleichungen mit zwei unabhängigen Veränderlichen. Zbl 0162.15401 Kruzhkov, S. N. 9 1967 Asymptotic behavior of the solutions of the Cauchy problem for nonlinear first order equations. Zbl 0672.35006 Kruzhkov, S. N.; Petrosyan, N. S. 8 1987 A priori estimates for generalized solutions of second-order elliptic and parabolic equations. Zbl 0148.35702 Kruzhkov, S. N. 8 1963 A-priori-Abschätzungen und einige Eigenschaften der Lösungen elliptischer und parabolischer Gleichungen. Zbl 0148.35703 Kruzhkov, S. N. 8 1964 Generalized solutions of nonlinear first order equations with several independent variables. II. Zbl 0164.40802 Kruzhkov, S. N. 8 1968 On the imbedding theory of anisotropic function spaces. Zbl 0613.46037 Kruzhkov, S. N.; Korolev, A. G. 8 1985 Quasilinear first-order equations with continuous nonlinearities. Zbl 0880.35027 Benilan, Ph.; Kruzhkov, S. N. 8 1994 Schauder-type estimates and existence theorems for the solution of basic problems for linear and nonlinear parabolic equations. Zbl 0343.35044 Kružkov, S. N.; Castro, Alfonso; Lopez Morales, Martin 6 1975 Quasilineare parabolische Gleichungen und Systeme mit zwei unabhängigen Veränderlichen. Zbl 0434.35058 Kruzhkov, S. N. 6 1979 Works of S. N. Kruzhkov. Collected articles. Ed. by N. S. Bakhvalov, V. A. Galkin, Yu. A. Dubinskij. (Trudy S. N. Kruzhkova: Sbornik statej.) Zbl 0949.01028 Kruzhkov, S. N. 5 2000 On passage to the limit in quasi-linear parabolic equations. Zbl 0577.35063 Kruzhkov, S. N.; Kamynin, V. L. 5 1985 Quasilinear parabolic equations and systems with two independent variables. Zbl 0669.35054 Kruzhkov, S. N. 4 1985 Convergence of the solutions of quasilinear parabolic equations with weakly converging coefficients. Zbl 0538.35047 Kruzhkov, S. N.; Kamynin, V. I. 4 1983 The Cauchy problem in the large for certain non-linear first order differential equations. Zbl 0128.32303 Kruzhkov, S. N. 4 1960 Verallgemeinerte Lösungen nichtlinearer Gleichungen erster Ordnung mit mehreren unabhängigen Veränderlichen. II. Zbl 0155.16102 Kruzhkov, S. N. 4 1967 The Cauchy problem for first-order quasilinear equations when the domain of dependence on the initial data is infinite. Zbl 0283.35010 Kruzhkov, S. N.; Hil’debrand, F. 4 1974 On continuity properties of the solutions of some classes of non- stationary equations. Zbl 0523.35057 Kruzhkov, S. N.; Faminskij, A. V. 3 1983 Zur Methode der Konstruktion verallgemeinerter Lösungen des Cauchy-Problems für eine quasilineare Gleichung erster Ordnung. Zbl 0144.34403 Kruzhkov, S. N. 3 1965 Boundary value problems for degenerate second order elliptic equations. Zbl 0186.43004 Kruzkov, S. N. 3 1970 On passage to the limit in quasilinear parabolic equations. Zbl 0596.35070 Kruzhkov, S. N.; Kamynin, V. L. 3 1986 A priori estimation of solutions of linear parabolic equations and of boundary value problems for a certain class of quasilinear parabolic equations. Zbl 0148.34901 Kruzhkov, S. N. 2 1961 An a priori estimate for the derivative of the solution of a parabolic equation. Zbl 0148.34902 Kruzhkov, S. N. 2 1967 Apriori estimates and certain properties of the solutions of elliptic and parabolic equations. Zbl 0177.36801 Kruzhkov, S. N. 2 1968 On Harnack’s inequality for solutions of elliptic differential equations of the second order. Zbl 0178.45901 Kruzhkov, S. N.; Kupcov, L. P. 2 1964 On the nonlocal theory of the Cauchy problem for quasi-linear equations of first order in the class of locally summable functions. Zbl 0325.35019 Kružkov, S. N.; Andrejanov, P. A. 2 1975 On the differentiability almost everywhere of functions of many variables. Zbl 0351.26011 Kruzkov, S. N. 2 1976 Schauder bounds and an existence theorem for the solutions of the Cauchy problem for linear and nonlinear parabolic equations. I. Zbl 0572.35046 Kruzhkov, Stanislav; Castro, Abel; López, Martin 2 1980 The Cauchy problem for a system of quasilinear parabolic equations of reaction-diffusion type. Zbl 0807.35057 Kruzhkov, S. N.; Peregudov, A. N. 2 1992 Linear and nonlinear parabolic systems in the plane. Zbl 0202.37801 Kruzhkov, S. N. 2 1969 Solutions of first-order nonlinear equations. Zbl 0152.09601 Kruzhkov, S. N. 1 1966 Über Abschätzungen der höchsten Ableitungen für die Lösungen elliptischer und parabolischer Gleichungen mit stetigen Koeffizienten. Zbl 0153.42401 Kruzhkov, S. N. 1 1967 Resultate über den Charakter der Stetigkeit der Lösungen parabolischer Gleichungen und gewisse Anwendungen. Zbl 0177.14205 Kruzhkov, S. N. 1 1969 A class of problems with an unknown boundary for the heat conduction equation. Zbl 0183.38002 Kruzhkov, S. N. 1 1968 Periodic solutions of nonlinear second-order parabolic equations. Zbl 0249.35047 Kruzkov, S. N. 1 1973 Cauchy problem for a system of equations of chemical kinetics: Solvability and asymptotic behaviour of solutions for \(t\to +\infty\). Zbl 0569.35045 Kruzhkov, S. N.; Peregudov, A. N. 1 1981 Schauder estimates and existence theorems for solutions of the Cauchy problem for linear and nonlinear parabolic equations. II. Zbl 0572.35047 Kruzhkov, Stanislav N.; Castro, Abel; López, Martín 1 1982 Uniqueness of the solutions of mixed problems for the degenerate system of the theory of two-phase porous flow. Zbl 0589.76123 Kruzhkov, S. N. 1 1985 The theory of functions and differential equations. Zbl 0753.35008 Kruzhkov, S. N. 1 1991 Propagation properties for scalar conservation laws. Zbl 0861.35056 Diaz, Jesús Ildefonso; Kruzhkov, Stanislav Nicolayevich 1 1996 Boundary value problems for systems of equations of two-phase filtration type; formulation of problems, questions of solvability, justification of approximate methods. Zbl 0372.35017 Kruzhkov, S. N.; Sukoryanskij, S. M. 1 1977 Conservation laws with the infinite domain of dependence on initial data. Zbl 0792.35116 Kružkov, S. N. 1 1991 On the minimax representation of solutions of first order nonlinear equations. Zbl 0202.37702 Kruzhkov, S. N. 1 1969 \(L^1\)-theory of scalar conservation law with continuous flux function. Zbl 0944.35048 Andreianov, Boris P.; Bénilan, Philippe; Kruzhkov, Stanislav N. 19 2000 Works of S. N. Kruzhkov. Collected articles. Ed. by N. S. Bakhvalov, V. A. Galkin, Yu. A. Dubinskij. (Trudy S. N. Kruzhkova: Sbornik statej.) Zbl 0949.01028 Kruzhkov, S. N. 5 2000 Conservation laws with continuous flux functions. Zbl 0961.35088 Bénilan, Philippe; Kruzhkov, Stanislav 35 1996 Osgood’s type conditions for uniqueness of entropy solutions to Cauchy problem for quasilinear conservation laws of the first order. Zbl 0863.35060 Kruzhkov, S. N.; Panov, E. Yu. 29 1996 Propagation properties for scalar conservation laws. Zbl 0861.35056 Diaz, Jesús Ildefonso; Kruzhkov, Stanislav Nicolayevich 1 1996 Quasilinear first-order equations with continuous nonlinearities. Zbl 0880.35027 Benilan, Ph.; Kruzhkov, S. N. 8 1994 The Cauchy problem for a system of quasilinear parabolic equations of reaction-diffusion type. Zbl 0807.35057 Kruzhkov, S. N.; Peregudov, A. N. 2 1992 The theory of functions and differential equations. Zbl 0753.35008 Kruzhkov, S. N. 1 1991 Conservation laws with the infinite domain of dependence on initial data. Zbl 0792.35116 Kružkov, S. N. 1 1991 Conservative quasilinear first-order laws with an infinite domain of dependence on the initial data. Zbl 0789.35039 Kruzhkov, S. N.; Panov, E. Yu. 31 1990 Some unsolved problems in the theory of differential equations and mathematical physics. Zbl 0703.35002 Arnol’d, V. I.; Vishik, M. I.; Il’yashenko, Yu. S.; Kalashnikov, A. S.; Kondrat’ev, V. A.; Kruzhkov, S. N.; Landis, E. M.; Millionshchikov, V. M.; Oleĭnik, O. A.; Filippov, A. F.; Shubin, M. A. 27 1989 Asymptotic behavior of the solutions of the Cauchy problem for nonlinear first order equations. Zbl 0672.35006 Kruzhkov, S. N.; Petrosyan, N. S. 8 1987 On passage to the limit in quasilinear parabolic equations. Zbl 0596.35070 Kruzhkov, S. N.; Kamynin, V. L. 3 1986 On the imbedding theory of anisotropic function spaces. Zbl 0613.46037 Kruzhkov, S. N.; Korolev, A. G. 8 1985 On passage to the limit in quasi-linear parabolic equations. Zbl 0577.35063 Kruzhkov, S. N.; Kamynin, V. L. 5 1985 Quasilinear parabolic equations and systems with two independent variables. Zbl 0669.35054 Kruzhkov, S. N. 4 1985 Uniqueness of the solutions of mixed problems for the degenerate system of the theory of two-phase porous flow. Zbl 0589.76123 Kruzhkov, S. N. 1 1985 Generalized solutions of the Cauchy problem for the Korteweg-de Vries equation. Zbl 0549.35104 Kruzhkov, S. N.; Faminskij, A. V. 40 1984 On the theory of embedding of anisotropic Sobolev spaces. Zbl 0534.46022 Kruzhkov, S. N.; Kolodij, I. M. 26 1983 Generalized solutions of the Cauchy problem for the Korteweg-de Vries equation. Zbl 0537.35068 Kruzhkov, S. N.; Faminskij, A. V. 19 1983 Convergence of the solutions of quasilinear parabolic equations with weakly converging coefficients. Zbl 0538.35047 Kruzhkov, S. N.; Kamynin, V. I. 4 1983 On continuity properties of the solutions of some classes of non- stationary equations. Zbl 0523.35057 Kruzhkov, S. N.; Faminskij, A. V. 3 1983 Schauder estimates and existence theorems for solutions of the Cauchy problem for linear and nonlinear parabolic equations. II. Zbl 0572.35047 Kruzhkov, Stanislav N.; Castro, Abel; López, Martín 1 1982 Cauchy problem for a system of equations of chemical kinetics: Solvability and asymptotic behaviour of solutions for \(t\to +\infty\). Zbl 0569.35045 Kruzhkov, S. N.; Peregudov, A. N. 1 1981 Schauder bounds and an existence theorem for the solutions of the Cauchy problem for linear and nonlinear parabolic equations. I. Zbl 0572.35046 Kruzhkov, Stanislav; Castro, Abel; López, Martin 2 1980 Quasilineare parabolische Gleichungen und Systeme mit zwei unabhängigen Veränderlichen. Zbl 0434.35058 Kruzhkov, S. N. 6 1979 Generalized solutions of the Hamilton-Jacobi equations of eikonal type. I: Formulation of the problems; existence, uniqueness and stability theorems; some properties of the solutions. Zbl 0369.35012 Kružkov, S. N. 42 1977 Boundary value problems for systems of equations of two-phase porous flow type; statement of the problems, questions of solvability, justification of approximate methods. Zbl 0398.35039 Kružkov, S. N.; Sukorjanskii, S. M. 21 1977 Boundary value problems for systems of equations of two-phase filtration type; formulation of problems, questions of solvability, justification of approximate methods. Zbl 0372.35017 Kruzhkov, S. N.; Sukoryanskij, S. M. 1 1977 On the differentiability almost everywhere of functions of many variables. Zbl 0351.26011 Kruzkov, S. N. 2 1976 Verallgemeinerte Lösungen der Hamilton-Jacobischen Gleichungen vom Typ des Eikonals. I: Problemstellung, Existenzsätze, Eindeutigkeit und Stabilität, einige Eigenschaften der Lösungen. Zbl 0325.35020 Kružkov, S. N. 10 1975 Schauder-type estimates and existence theorems for the solution of basic problems for linear and nonlinear parabolic equations. Zbl 0343.35044 Kružkov, S. N.; Castro, Alfonso; Lopez Morales, Martin 6 1975 On the nonlocal theory of the Cauchy problem for quasi-linear equations of first order in the class of locally summable functions. Zbl 0325.35019 Kružkov, S. N.; Andrejanov, P. A. 2 1975 The Cauchy problem for first-order quasilinear equations when the domain of dependence on the initial data is infinite. Zbl 0283.35010 Kruzhkov, S. N.; Hil’debrand, F. 4 1974 Periodic solutions of nonlinear second-order parabolic equations. Zbl 0249.35047 Kruzkov, S. N. 1 1973 First order quasilinear equations in several independent variables. Zbl 0215.16203 Kruzhkov, S. N. 572 1970 First order quasilinear equations with several independent variables. (Quasilineare Gleichungen erster Ordnung mit mehreren unabhängigen Veränderlichen.) Zbl 0202.11203 Kruzhkov, S. N. 251 1970 Results concerning the nature of the continuity of solutions of parabolic equations and some of their applications. Zbl 0189.10602 Kruzhkov, S. N. 22 1970 The Cauchy problem for some classes of quasi-linear parabolic equations. Zbl 0191.39703 Kruzhkov, S. N. 11 1970 Boundary value problems for degenerate second order elliptic equations. Zbl 0186.43004 Kruzkov, S. N. 3 1970 Generalized solutions of the Cauchy problem in the large for nonlinear equations of first order. Zbl 0202.37701 Kruzhkov, S. N. 35 1969 Linear and nonlinear parabolic systems in the plane. Zbl 0202.37801 Kruzhkov, S. N. 2 1969 Resultate über den Charakter der Stetigkeit der Lösungen parabolischer Gleichungen und gewisse Anwendungen. Zbl 0177.14205 Kruzhkov, S. N. 1 1969 On the minimax representation of solutions of first order nonlinear equations. Zbl 0202.37702 Kruzhkov, S. N. 1 1969 Boundary value problems for degenerate second order elliptic equations. (Randwertprobleme für entartete elliptische Gleichungen zweiter Ordnung.) Zbl 0175.11601 Kruzhkov, S. N. 15 1968 Generalized solutions of nonlinear first order equations with several independent variables. II. Zbl 0164.40802 Kruzhkov, S. N. 8 1968 Apriori estimates and certain properties of the solutions of elliptic and parabolic equations. Zbl 0177.36801 Kruzhkov, S. N. 2 1968 A class of problems with an unknown boundary for the heat conduction equation. Zbl 0183.38002 Kruzhkov, S. N. 1 1968 Nonlinear parabolic equations in two independent variables. Zbl 0194.13202 Kruzhkov, S. N. 12 1967 On some problems with unknown boundaries for the heat conduction equation. Zbl 0159.39604 Kruzhkov, S. N. 10 1967 Nichtlineare parabolische Gleichungen mit zwei unabhängigen Veränderlichen. Zbl 0162.15401 Kruzhkov, S. N. 9 1967 Verallgemeinerte Lösungen nichtlinearer Gleichungen erster Ordnung mit mehreren unabhängigen Veränderlichen. II. Zbl 0155.16102 Kruzhkov, S. N. 4 1967 An a priori estimate for the derivative of the solution of a parabolic equation. Zbl 0148.34902 Kruzhkov, S. N. 2 1967 Über Abschätzungen der höchsten Ableitungen für die Lösungen elliptischer und parabolischer Gleichungen mit stetigen Koeffizienten. Zbl 0153.42401 Kruzhkov, S. N. 1 1967 Verallgemeinerte Lösungen nichtlinearer Gleichungen erster Ordnung mit mehreren unabhängigen Veränderlichen. I. Zbl 0152.09502 Kruzhkov, S. N. 10 1966 Solutions of first-order nonlinear equations. Zbl 0152.09601 Kruzhkov, S. N. 1 1966 Zur Methode der Konstruktion verallgemeinerter Lösungen des Cauchy-Problems für eine quasilineare Gleichung erster Ordnung. Zbl 0144.34403 Kruzhkov, S. N. 3 1965 The Cauchy problem in the large for nonlinear equations and for certain quasilinear systems of the first order with several variables. Zbl 0138.34702 Kruzhkov, S. N. 16 1964 A-priori-Abschätzungen und einige Eigenschaften der Lösungen elliptischer und parabolischer Gleichungen. Zbl 0148.35703 Kruzhkov, S. N. 8 1964 On Harnack’s inequality for solutions of elliptic differential equations of the second order. Zbl 0178.45901 Kruzhkov, S. N.; Kupcov, L. P. 2 1964 Certain properties of solutions to elliptic equations. Zbl 0148.35701 Kruzhkov, S. N. 9 1963 A priori estimates for generalized solutions of second-order elliptic and parabolic equations. Zbl 0148.35702 Kruzhkov, S. N. 8 1963 Quasilinear second-order parabolic equations with many independent variables. Zbl 0112.32604 Oleĭnik, O. A.; Kruzhkov, S. N. 47 1961 A priori estimation of solutions of linear parabolic equations and of boundary value problems for a certain class of quasilinear parabolic equations. Zbl 0148.34901 Kruzhkov, S. N. 2 1961 The Cauchy problem in the large for certain non-linear first order differential equations. Zbl 0128.32303 Kruzhkov, S. N. 4 1960 all cited Publications top 5 cited Publications all top 5 Cited by 1,248 Authors 37 Panov, Evgeniy Yu. 30 Andreianov, Boris 27 Karlsen, Kenneth Hvistendahl 18 Coclite, Giuseppe Maria 18 Colombo, Rinaldo M. 17 Bürger, Raimund 17 Risebro, Nils Henrik 16 Goatin, Paola 14 Frid, Hermano 14 Rosini, Massimiliano Daniele 12 LeFloch, Philippe Gerard 11 Kamynin, Vitaly Leonidovich 11 Tadmor, Eitan 10 Bressan, Alberto 10 Caselles Costa, Vicent 10 Faminskii, Andrei V. 10 Wittbold, Petra 9 Garavello, Mauro 9 Mitrovic, Darko 9 Natalini, Roberto 9 Naumkin, Pavel Ivanovich 9 Ponce, Gustavo 9 Zhan, Huashui 8 Chen, Gui-Qiang G. 8 Donadello, Carlotta 8 Fiedler, Bernold 8 Fjordholm, Ulrik Skre 8 Rossi, Elena 8 Uspenskiĭ, Aleksandr Aleksandrovich 7 Di Francesco, Marco 7 Di Ruvo, Lorenzo 7 Hayashi, Nakao 7 Kozhevnikova, Larisa Mikhaĭlovna 7 Lebedev, Pavel Dmitrievich 7 Lions, Pierre-Louis 7 Maliki, Mohamed 7 Marconi, Elio 7 Miri, Sofiane El-Hadi 7 Shen, Wen 7 Vasseur, Alexis F. 7 Vazquez, Juan Luis 6 Adimurthi, A. 6 Amadori, Debora 6 Bendahmane, Mostafa 6 Cao, Gaowei 6 Crippa, Gianluca 6 Gargyants, Lidia V. 6 Gosse, Laurent 6 Gowda, G. D. Veerappa 6 Holden, Helge 6 Koley, Ujjwal 6 Lai, Shaoyong 6 Linares, Felipe 6 Marcellini, Francesca 6 Mishra, Siddhartha 6 Mukminov, Farit Khamzaevich 6 Perthame, Benoît 6 Popov, Boyan 6 Rocha, Carlos 6 Serre, Denis 6 Spinolo, Laura V. 6 Sylla, Abraham 6 Zuazua, Enrique 5 Ambrosio, Luigi 5 Bahadoran, Christophe 5 Bénilan, Philippe 5 Bianchini, Stefano 5 Boritchev, Alexandre 5 Carrillo de la Plata, José Antonio 5 Galaktionov, Victor Aleksandrovich 5 Gess, Benjamin 5 Guermond, Jean-Luc 5 Kamin, Shoshana 5 Kang, Moon-Jin 5 Kolodiĭ, I. M. 5 Kuznetsov, Ivan V. 5 Lamy, Xavier 5 Ouédraogo, Adama 5 Peletier, Lambertus Adrianus 5 Razafison, Ulrich 5 Sepúlveda, Mauricio A. 5 Tersenov, Alkis Savvich 5 Vallet, Guy 5 Vega, Luis 5 Yang, Xiaozhou 4 Andreu, Fuensanta 4 Antontsev, Stanislav Nikolaevich 4 Barbu, Viorel 4 Barles, Guy 4 Calvo, Juan G. 4 Cannarsa, Piermarco 4 Carrillo Menéndez, José 4 Chiarello, Felisia Angela 4 Cockburn, Bernardo 4 Crandall, Michael G. 4 DiBenedetto, Emmanuele 4 Eymard, Robert 4 Fagioli, Simone 4 Fan, Haitao 4 Ghoshal, Shyam Sundar ...and 1,148 more Authors all top 5 Cited in 265 Serials 134 Journal of Differential Equations 51 Journal of Mathematical Analysis and Applications 41 Archive for Rational Mechanics and Analysis 41 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 40 Journal of Mathematical Sciences (New York) 33 Journal of Hyperbolic Differential Equations 22 Communications in Partial Differential Equations 21 Mathematical Notes 21 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 20 Journal of Computational Physics 18 Journal of Functional Analysis 17 Mathematics of Computation 16 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 16 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 16 Nonlinear Analysis. Theory, Methods & Applications 14 SIAM Journal on Mathematical Analysis 13 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 13 Transactions of the American Mathematical Society 13 NoDEA. Nonlinear Differential Equations and Applications 13 Networks and Heterogeneous Media 12 Discrete and Continuous Dynamical Systems 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Communications in Mathematical Physics 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Applicable Analysis 9 Computer Methods in Applied Mechanics and Engineering 9 Journal of Soviet Mathematics 9 Numerische Mathematik 9 Siberian Mathematical Journal 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 9 Calculus of Variations and Partial Differential Equations 9 Differential Equations 9 Boundary Value Problems 8 Journal of Computational and Applied Mathematics 8 Applied Numerical Mathematics 8 Acta Mathematicae Applicatae Sinica. English Series 8 Stochastic Processes and their Applications 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Journal of Evolution Equations 8 Proceedings of the Steklov Institute of Mathematics 7 Mathematical Methods in the Applied Sciences 7 Ukrainian Mathematical Journal 7 Chinese Annals of Mathematics. Series B 7 Journal of Scientific Computing 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Computers & Mathematics with Applications 6 Sbornik: Mathematics 6 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 6 Bulletin of the Brazilian Mathematical Society. New Series 5 Israel Journal of Mathematics 5 Journal of Engineering Mathematics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 The Annals of Probability 5 Applied Mathematics and Computation 5 Applied Mathematics and Optimization 5 Duke Mathematical Journal 5 Acta Applicandae Mathematicae 5 Applied Mathematics Letters 5 Russian Journal of Mathematical Physics 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Journal of Inequalities and Applications 5 Nonlinear Analysis. Real World Applications 5 Complex Variables and Elliptic Equations 4 Journal of Mathematical Physics 4 Proceedings of the American Mathematical Society 4 Quarterly of Applied Mathematics 4 European Journal of Applied Mathematics 4 Journal of Dynamics and Differential Equations 4 Journal of Nonlinear Science 4 Abstract and Applied Analysis 4 Acta Mathematica Sinica. English Series 4 Lobachevskii Journal of Mathematics 4 Milan Journal of Mathematics 4 Mathematical Biosciences and Engineering 4 Communications in Computational Physics 3 Communications on Pure and Applied Mathematics 3 Advances in Mathematics 3 Annales de l’Institut Fourier 3 Functional Analysis and its Applications 3 Manuscripta Mathematica 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Numerical Methods for Partial Differential Equations 3 Journal of the American Mathematical Society 3 Geometric and Functional Analysis. GAFA 3 Bulletin of the American Mathematical Society. New Series 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Computational Geosciences 3 Advanced Nonlinear Studies 3 Communications on Pure and Applied Analysis 3 Discrete and Continuous Dynamical Systems. Series S 3 Ufimskiĭ Matematicheskiĭ Zhurnal 3 Stochastic and Partial Differential Equations. Analysis and Computations 3 Advances in Nonlinear Analysis 3 SN Partial Differential Equations and Applications 2 Bulletin of the Australian Mathematical Society 2 Journal of Applied Mathematics and Mechanics 2 Journal of Statistical Physics 2 Nonlinearity 2 Theoretical and Mathematical Physics ...and 165 more Serials all top 5 Cited in 47 Fields 1,098 Partial differential equations (35-XX) 212 Fluid mechanics (76-XX) 208 Numerical analysis (65-XX) 75 Calculus of variations and optimal control; optimization (49-XX) 69 Probability theory and stochastic processes (60-XX) 51 Operations research, mathematical programming (90-XX) 43 Operator theory (47-XX) 36 Biology and other natural sciences (92-XX) 32 Dynamical systems and ergodic theory (37-XX) 32 Statistical mechanics, structure of matter (82-XX) 26 Functional analysis (46-XX) 26 Mechanics of deformable solids (74-XX) 25 Ordinary differential equations (34-XX) 25 Systems theory; control (93-XX) 19 Optics, electromagnetic theory (78-XX) 17 Global analysis, analysis on manifolds (58-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Real functions (26-XX) 11 Integral equations (45-XX) 11 Mechanics of particles and systems (70-XX) 10 Classical thermodynamics, heat transfer (80-XX) 7 Measure and integration (28-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 5 Statistics (62-XX) 5 Quantum theory (81-XX) 5 Geophysics (86-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Differential geometry (53-XX) 3 Algebraic geometry (14-XX) 3 Approximations and expansions (41-XX) 3 General topology (54-XX) 2 Special functions (33-XX) 2 Manifolds and cell complexes (57-XX) 2 Computer science (68-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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