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Pokhozhaev, Stanislav I. (b. 1935 d. 2014)

Author ID: pokhozhaev.stanislav-i Recent zbMATH articles by "Pokhozhaev, Stanislav I."
Published as: Pokhozhaev, S. I.; Pohozaev, S. I.; Pohozaev, Stanislav I.; Pohozaev, Stanislav; Pohozhaev, S. I.; Pokhozaev, S. I.; Pokhozhaev, Stanislav I.; Pokhozhaev, Stanislav; Pohožaev, Stanislav; Pohozaev, A. I.; Pohožaev, S. I.; Pokhozhaev, S.; Pohozaev, S.
Further Spellings: Похожаев Станислав Иванович
Homepage: http://www.mi-ras.ru/~pokhozhaev/
External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
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Co-Authors

101 single-authored
25 Mitidieri, Enzo Luigi
21 Galaktionov, Victor Aleksandrovich
8 Tesei, Alberto
4 Besov, Oleg Vladimirovich
4 Egorov, Yuriĭ Vladimirovich
4 Kondrat’ev, Vladimir Aleksandrovich
3 Il’in, Vladimir Aleksandrovich
3 Kozlov, Valeriĭ Vasil’evich
3 Osipov, Yuriĭ Sergeevich
3 Véron, Laurent
2 Bochkarëv, Sergeĭ Viktorovich
2 Caristi, Gabriella
2 Kashin, Boris Sergeevich
2 Kirane, Mokhtar
2 Kudryavtsev, Lev Dmitrievich
2 Moschini, Luisa
2 Nabana, Eric
2 Nikol’skiĭ, Sergeĭ Mikhaĭlovich
2 Pikulin, Victor P.
2 Rozov, Nikolaĭ Khristovich
2 Sadovnichiĭ, Viktor Antonovich
2 Shishkov, Andrey E.
2 Telyakovskiĭ, Sergeĭ Aleksandrovich
2 Vladimirov, Vasiliĭ Sergeevich
2 Volkov, Evgeniĭ Alekseevich
1 Agranovich, Mikhail Semënovich
1 Astashova, Irina Viktorovna
1 Bagirov, Lev A.
1 Bidaut-Veron, Marie-Françoise
1 Chechkin, Gregory Aleksandrovich
1 D’Ambrosio, Lorenzo
1 Drábek, Pavel
1 Dubinskiĭ, Yuliĭ Andreevich
1 Dzyadyk, Vladyslav Kyrylovych
1 Gaĭshun, Ivan Vasil’evich
1 Il’yashenko, Yuliĭ Sergeevich
1 Izobov, Nikolaĭ Alekseevich
1 Kon’kov, Andrej A.
1 Konyagin, Sergeĭ Vladimirovich
1 Korneĭchuk, Nikolaĭ Pavlovich
1 Korolyuk, Volodymyr Semenovych
1 Koshlyakov, Vladimir Nikolaevich
1 Kravchenko, Viktor Filippovich
1 Kudryavtsev, N. N.
1 Kuzin, I. A.
1 Lomov, S. A.
1 Lukovsky, Ivan Oleksandrovych
1 Martynyuk, Anatoliĭ Andriĭovych
1 Millionshchikov, Vladimir Mikhaĭlovich
1 Miroshin, N. V.
1 Mishchenko, Evgeniĭ Frolovich
1 Mustonen, Vesa
1 Oleĭnik, Ol’ga Arsen’evna
1 Peletier, Lambertus Adrianus
1 Radkevich, Evgeniĭ Vladimirovich
1 Samoĭlenko, Anatoliĭ Mykhaĭlovych
1 Sergeev, Armen Glebovich
1 Sergeev, Igor’ Nikolaevich
1 Shamaev, Alexei S.
1 Sharkovs’kyĭ, Oleksandr Mykolaĭovych
1 Skubachevskiĭ, Aleksandr Leonidovich
1 Stechkin, Sergeĭ Borisovich
1 Temlyakov, Vladimir Nikolaevich
1 Ul’yanov, Pëtr Lavrent’evich
1 Vasil’ev, A. B.
1 Vlasov, Viktor Valentinovich
1 Zhikov, Vasiliĭ Vasil’evich
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Serials

16 Soviet Mathematics. Doklady
14 Doklady Mathematics
14 Differential Equations
11 Differential Equations
7 Mathematics of the USSR, Sbornik
6 Sbornik: Mathematics
5 Mathematical Notes
4 Russian Mathematical Surveys
4 Differentsial’nye Uravneniya
4 Matematicheskiĭ Sbornik. Novaya Seriya
4 Journal of Mathematical Sciences (New York)
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Russian Academy of Sciences. Sbornik. Mathematics
3 Russian Academy of Sciences. Doklady. Mathematics
2 Funktsional’nyĭ Analiz i ego Prilozheniya
2 Journal of Evolution Equations
2 Milan Journal of Mathematics
2 Proceedings of the Steklov Institute of Mathematics
1 Applicable Analysis
1 Journal d’Analyse Mathématique
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Functional Analysis and its Applications
1 Indiana University Mathematics Journal
1 Journal of Functional Analysis
1 Manuscripta Mathematica
1 Quarterly of Applied Mathematics
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Transactions of the American Mathematical Society
1 Transactions of the Moscow Mathematical Society
1 Trudy Moskovskogo Matematicheskogo Obshchestva
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Differential and Integral Equations
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Mathematical Analysis
1 Matematicheskiĭ Sbornik
1 Russian Journal of Mathematical Physics
1 Electronic Journal of Differential Equations (EJDE)
1 Georgian Mathematical Journal
1 Advances in Differential Equations
1 Functional Differential Equations
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Nonlinear Analysis. Real World Applications
1 Advanced Nonlinear Studies
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova
1 Progress in Nonlinear Differential Equations and Their Applications
1 Modern Birkhäuser Classics
1 Monographs and Research Notes in Mathematics

Publications by Year

Citations contained in zbMATH Open

125 Publications have been cited 3,021 times in 2,143 Documents Cited by Year
Eigenfunctions of the equation \(\Delta u+\lambda f(u) = 0\). Zbl 0141.30202
Pokhozhaev, S. I.
636
1965
A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities. Transl. from the Russian. Zbl 1074.35500
Mitidieri, E.; Pohozaev, S. I.
351
2001
Positive solutions for the \(p\)-Laplacian: Application of the fibrering method. Zbl 0880.35045
Drábek, Pavel; Pohozaev, Stanislav I.
217
1997
A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities. (Apriornye otsenki i otsutstvie reshenij nelinejnykh uravnenij i neravenstv v chastnykh proizvodnykh.) Zbl 0987.35002
Mitidieri, E.; Pokhozhaev, S. I.
203
2001
Nonexistence results and estimates for some nonlinear elliptic problems. Zbl 1018.35040
Bidaut-Véron, Marie-Francoise; Pohozaev, Stanislav
127
2001
On a class of quasilinear hyperbolic equations. Zbl 0328.35060
Pohozaev, S. I.
84
1976
The absence of global positive solutions of quasilinear elliptic inequalities. Zbl 0976.35100
Mitidieri, E.; Pokhozhaev, S. I.
80
1998
Nonexistence of positive solutions for quasilinear elliptic problems in \(\mathbb R^N\). Zbl 1056.35507
Mitidieri, E.; Pokhozhaev, S. I.
80
1999
Entire solutions of semilinear elliptic equations. Zbl 0882.35003
Kuzin, I.; Pohozaev, S.
66
1997
Existence and blow up for higher-order semilinear parabolic equations: majorizing order-preserving operators. Zbl 1082.35079
Galaktionov, V. A.; Pohozaev, S. I.
57
2002
Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on \(\mathbb{R}^n\). Zbl 0988.35095
Mitidieri, Enzo; Pohozaev, Stanislav I.
55
2001
Blow-up results for nonlinear hyperbolic inequalities. Zbl 0965.35197
Pohozaev, Stanislav; Véron, Laurent
45
2000
Blow-up and critical exponents for nonlinear hyperbolic equations. Zbl 1012.35058
Galaktionov, V. A.; Pohozaev, S. I.
42
2003
The essentially nonlinear capacities induced by differential operators. Zbl 0963.35056
Pokhozhaev, S. I.
41
1997
Towards a unified approach to nonexistence of solutions for a class of differential inequalities. Zbl 1115.35157
Mitidieri, Enzo; Pohozaev, Stanislav I.
40
2004
The Dirichlet problem for the equation \(\Delta u=u^2\). Zbl 0097.08503
Pokhozhaev, S. I.
38
1960
Third-order nonlinear dispersive equations: shocks, rarefaction, and blowup waves. Zbl 1177.76183
Galaktionov, V. A.; Pokhozhaev, S. I.
37
2008
Global solutions of higher-order semilinear parabolic equations in the supercritical range. Zbl 1122.35040
Egorov, Yu. V.; Galaktionov, V. A.; Kondratiev, V. A.; Pohozaev, S. I.
37
2004
Nonexistence results of solutions of semilinear differential inequalities on the Heisenberg group. Zbl 0964.35046
Pohozaev, Stanislav; Véron, Laurent
28
2000
Nonexistence of positive solutions for a system of quasilinear elliptic equations and inequalities in \({\mathbb{R}}^N\). Zbl 0969.35052
Mitidieri, E.; Pokhozhaev, S. I.
27
1999
On the method of fibering a solution of nonlinear boundary value problems. Zbl 0734.35036
Pokhozhaev, S. I.
27
1990
On an approach to nonlinear equations. Zbl 0456.47053
Pokhozhaev, S. I.
25
1979
On the necessary conditions of global existence to a quasilinear inequality in the half-space. Zbl 0943.35110
Egorov, Yuri V.; Galaktionov, Victor A.; Kondratiev, Vladimir A.; Pohozaev, Stanislav I.
24
2000
Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations. Zbl 1320.35002
Galaktionov, Victor A.; Mitidieri, Enzo L.; Pohozaev, Stanislav I.
24
2015
Solvability of nonlinear equations with odd operators. Zbl 0165.49502
Pokhozhaev, S. I.
23
1967
Nonexistence of local solutions to semilinear partial differential inequalities. Zbl 1064.35220
Pohozaev, Stanislav I.; Tesei, Alberto
21
2004
Some Liouville theorems for quasilinear elliptic inequalities. Zbl 1387.35207
Caristi, G.; Mitidieri, E.; Pokhozhaev, S. I.
21
2009
Nonexistence of weak solutions for some degenerate and singular hyperbolic problems on \(\mathbb{R}_+^{n+1}\). Zbl 1032.35138
Mitidieri, E.; Pohozaev, S. I.
20
2001
On equations of the form \(\Delta u=f(x,u,Du)\). Zbl 0457.35032
Pokhozhaev, S. I.
19
1980
Blow-up of nonnegative solutions to quasilinear parabolic inequalities. Zbl 1007.35003
Pohozaev, Stanislav I.; Tesei, Alberto
18
2000
On equations of the form (Delta u) = f(x,u,Du). Zbl 0483.35033
Pokhozhaev, S. I.
18
1982
On global solutions and blow-up for Kuramoto-Sivashinsky-type models, and well-posed Burnett equations. Zbl 1176.35094
Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I.
18
2009
The fibering method in nonlinear variational problems. Zbl 0901.35018
Pohozaev, A. I.
16
1997
On the method of fibering a solution in nonlinear boundary value problems. Zbl 0789.35055
Pokhozhaev, S. I.
16
1990
Critical nonlinearities in partial differential equations. Zbl 1205.35024
Pohozaev, Stanislav I.
15
2009
On the eigenfunctions of quasilinear elliptic problems. Zbl 0217.13203
Pokhozhaev, S. I.
14
1971
Blow-up and critical exponents for parabolic equations with non-divergent operators: dual porous medium and thin film operators. Zbl 1109.35015
Galaktionov, V. A.; Pohozaev, S. I.
14
2006
Concerning an equation in the theory of combustion. Zbl 1233.35050
Pokhozhaev, S. I.
14
2010
On the asymptotics of global solutions of higher-order semilinear parabolic equations in the supercritical range. Zbl 1020.35029
Egorov, Yu. V.; Galaktionov, V. A.; Kondratiev, V. A.; Pohozaev, S. I.
13
2002
Nonexistence of global solutions to an elliptic equation with a dynamical boundary condition. Zbl 1374.35176
Kirane, Mokhtar; Nabana, Eric; Pohozaev, Stanislav I.
13
2004
On blow-up of solutions of the Kuramoto-Sivashinsky equation. Zbl 1161.35491
Pokhozhaev, S. I.
13
2008
The Kirchhoff quasilinear hyperbolic equation. Zbl 0584.35073
Pokhozhaev, S. I.
13
1985
Existence and nonexistence of solutions of nonlinear Dirichlet problems with first order terms. Zbl 0976.35025
Moschini, Luisa; Pohozaev, Stanislav I.; Tesei, Alberto
11
2000
Existence and nonexistence of a global solution to the Kuramoto-Sivashinsky equation. Zbl 1152.35101
Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I.
11
2008
Liouville theorems for some classes of nonlinear nonlocal problems. Zbl 1123.35087
Mitidieri, E.; Pokhozhaev, S. I.
11
2005
Representation formulae and inequalities for solutions of a class of second order partial differential equations. Zbl 1081.35014
D’Ambrosio, Lorenzo; Mitidieri, Enzo; Pohozaev, Stanislav I.
10
2006
Some generalizations of the Bernstein theorem. Zbl 1274.35120
Mitidieri, E.; Pokhozhaev, S. I.
10
2002
On the solvability of quasilinear elliptic equations of arbitrary order. Zbl 0491.35020
Pokhozhaev, S. I.
10
1982
The absence of solutions of elliptic systems with dynamic boundary conditions. Zbl 1290.35119
Kirane, M.; Nabana, E.; Pokhozhaev, S. I.
9
2002
Nonlinear variational problems via the fibering method. Zbl 1184.35001
Pohozaev, Stanislav I.
9
2008
Fujita-type theorems for quasilinear parabolic inequalities with nonlinear gradient. Zbl 1146.35382
Mitidieri, E.; Pokhozhaev, S. I.
9
2002
Classification of global and blow-up sign-changing solutions of a semilinear heat equation in the subcritical Fujita range: second-order diffusion. Zbl 1298.35020
Galaktionov, Victor A.; Mitidieri, Enzo; Pohozaev, Stanislav I.
9
2014
On the global fibering method in nonlinear variational problems. Zbl 0940.35092
Pohozaev, S. I.
8
1997
Critical exponents for the absence of solutions for systems of quasilinear parabolic inequalities. Zbl 0994.35026
Pokhozhaev, S. I.; Tesei, A.
8
2001
Variational approach to complicated similarity solutions of higher-order nonlinear PDEs. II. Zbl 1244.35019
Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I.
8
2011
On the nonexistence of global solutions of some initial-boundary value problems for the Korteweg-de Vries equation. Zbl 1232.35147
Pokhozhaev, S. I.
8
2011
The fibering method and its applications to nonlinear boundary value problem. Zbl 0964.58016
Pohožaev, S. I.
7
1999
Multiple positive solutions of some quasilinear Neumann problems. Zbl 1063.35065
Pohozaev, Stanislav I.; Véron, Laurent
7
2000
On the singular solutions of the Korteweg-de Vries equation. Zbl 1231.35211
Pokhozhaev, S. I.
7
2010
On similarity solutions and blow-up spectra for a semilinear wave equation. Zbl 1039.35066
Galaktionov, V. A.; Pohozaev, S. I.
7
2003
Nonexistence of global solutions of nonlinear evolution equations. Zbl 1277.35076
Pokhozhaev, S. I.
7
2013
Lifespan estimates for solutions of some evolution inequalities. Zbl 1184.35075
Mitidieri, E.; Pokhozhaev, S. I.
7
2009
Instantaneous blow-up of solutions to a class of hyperbolic inequalities. Zbl 1024.35081
Pohozaev, Stanislav I.; Tesei, Alberto
6
2002
Existence of positive solutions to some nonlinear Neumann problems. Zbl 0968.35049
Pokhozhaev, S. I.; Tesej, A.
6
1998
Blow-up of smooth solutions of the Korteweg-de Vries equation. Zbl 1246.35182
Pohozaev, Stanislav I.
6
2012
On the nonexistence of global solutions of the Cauchy problem for the Korteweg-de Vries equation. Zbl 1309.35115
Pokhozhaev, S. I.
6
2012
A general approach to the theory of nonexistence of global solutions to nonlinear partial differential equations and inequalities. Zbl 1125.35348
Pokhozhaev, S. I.
5
2002
Multidimensional scalar conservation laws. Zbl 1049.35130
Pokhozhaev, S. I.
5
2003
Normal solvability of nonlinear equations. Zbl 0181.42803
Pohozaev, S. I.
5
1969
On stationary solutions of the Vlasov-Poisson equations. Zbl 1204.35163
Pokhozhaev, S. I.
5
2010
Existence and nonexistence of solutions of nonlinear Neumann problems. Zbl 0944.35030
Pohozaev, Stanislav I.; Tesei, Alberto
4
1999
On the dependence of the critical exponent of the nonlinear heat equation on the initial function. Zbl 1227.35054
Pokhozhaev, S. I.
4
2011
On a class of initial-boundary value problems for equations of Korteweg-de Vries type. Zbl 1246.35183
Pokhozhaev, S. I.
4
2012
Variational approach to complicated similarity solutions of higher order nonlinear evolution partial differential equations. Zbl 1179.35074
Galaktionov, Victor; Mitidieri, Enzo; Pokhozhaev, Stanislav
4
2009
On the absence of global solutions of the Korteweg-de Vries equation. Zbl 1276.35134
Pohozaev, S. I.
4
2013
Weighted identities for solutions of generalized Korteweg-de Vries equations. Zbl 1231.35212
Pokhozhaev, S. I.
4
2011
The general blowup for nonlinear PDE’s. Zbl 1064.35219
Pohozaev, Stanislav
3
2003
On the nonexistence of periodic radial solutions for semilinear wave equations in unbounded domain. Zbl 1004.35091
Mustonen, Vesa; Pohožaev, Stanislav
3
1998
On the solvability of quasilinear elliptic equations of arbitrary order. Zbl 0511.35014
Pokhozhaev, S. I.
3
1983
On the blow-up of solutions to nonlinear initial-boundary value problems. Zbl 1233.35071
Pohozaev, S. I.
3
2008
On a constructive method of the calculus of variations. Zbl 0717.58012
Pokhozhaev, S. I.
3
1988
On the boundary-value problem for the equation \(\Delta U = U^ 2\). Zbl 0111.09803
Pokhozaev, S. I.
3
1961
Normal solubility of nonlinear equations in convex uniform Banach spaces. Zbl 0191.14803
Pohozaev, S. I.
3
1969
On nonlinear operators having weakly closed range, and quasilinear elliptic equations. Zbl 0201.46501
Pokhozhaev, S. I.
3
1969
Local estimates and Liouville theorems for a class of quasilinear inequalities. Zbl 1159.35342
Caristi, Gabriella; Mitidieri, Enzo; Pohozaev, Stanislav I.
3
2008
Capacity induced by a nonlinear operator and applications. Zbl 1157.35305
Galaktionov, Victor A.; Mitidieri, Enzo; Pohozaev, Stanislav I.
3
2008
On the nonexistence of global solutions of the Hamilton-Jacobi equation. Zbl 1194.35103
Pohozaev, S. I.
3
2008
On a priori estimates and gradient catastrophes of smooth solutions to hyperbolic systems of conservation laws. Zbl 1077.35093
Pokhozhaev, S. I.
2
2003
Equations in mathematical physics. A practical course. Transl. from the Russian by A. Iacob. Zbl 0972.35001
Pikulin, V. P.; Pohozaev, S. I.
2
2001
A priori bounds of solutions of quasilinear elliptic equations of arbitrary order. Zbl 0523.35049
Pokhozhaev, S. I.
2
1983
High-order quasilinear elliptic equations. Zbl 0544.35047
Pokhozhaev, S. I.
2
1981
Riemann quasi-invariants. Zbl 1232.35095
Pokhozhaev, S. I.
2
2011
On the reaction-diffusion electrolysis nonlinear elliptic equations. Zbl 0912.35063
Pokhozhaev, S. I.
2
1998
On entire solutions of semilinear elliptic equations. Zbl 0821.35046
Pokhozhaev, S.
2
1992
On the solvability of an elliptic problem in \(\mathbb{R}{}^ n\) with a supercritical index of nonlinearity. Zbl 0765.35017
Pokhozhaev, S. I.
2
1990
On a class of nonlinear Dirichlet problems with first order terms. Zbl 1098.35555
Moschini, L.; Tesei, A.; Pohozaev, S. I.
2
2001
Über der kritischen Werte von Funktionalen. Zbl 0171.12701
Pokhozhaev, S. I.
2
1968
The set of critical values of a functional. Zbl 0174.46103
Pokhozhaev, S. I.
2
1969
Convergence in gradient systems with branching of equilibria. Zbl 1229.35078
Galaktionov, V. A.; Pohozaev, S. I.; Shishkov, A. E.
2
2007
Critical nonlinearities in partial differential equations. Zbl 1320.35099
Pokhozhaev, S. I.
2
2013
Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations. Zbl 1320.35002
Galaktionov, Victor A.; Mitidieri, Enzo L.; Pohozaev, Stanislav I.
24
2015
Classification of global and blow-up sign-changing solutions of a semilinear heat equation in the subcritical Fujita range: second-order diffusion. Zbl 1298.35020
Galaktionov, Victor A.; Mitidieri, Enzo; Pohozaev, Stanislav I.
9
2014
Smooth solutions of the Navier-Stokes equations. Zbl 1361.35133
Pokhozhaev, S. I.
1
2014
Nonexistence of global solutions of nonlinear evolution equations. Zbl 1277.35076
Pokhozhaev, S. I.
7
2013
On the absence of global solutions of the Korteweg-de Vries equation. Zbl 1276.35134
Pohozaev, S. I.
4
2013
Critical nonlinearities in partial differential equations. Zbl 1320.35099
Pokhozhaev, S. I.
2
2013
Vladimir Alexandrovich Kondratiev. July 2, 1935–March 11, 2010. Zbl 1277.01013
Agranovich, M. S.; Astashova, I. V.; Bagirov, L. A.; Vlasov, V. V.; Zhikov, V. V.; Ilyashenko, Yu. S.; Kozlov, V. V.; Kon’kov, A. A; Pokhozhaev, S. I.; Radkevich, E. V.; Rozov, N. Kh.; Sergeev, I. N.; Skubachevskii, A. L.; Chechkin, G. A.; Shamaev, A. S.; Shaposhnikova, T. A.
1
2013
Blow-up of smooth solutions of the Korteweg-de Vries equation. Zbl 1246.35182
Pohozaev, Stanislav I.
6
2012
On the nonexistence of global solutions of the Cauchy problem for the Korteweg-de Vries equation. Zbl 1309.35115
Pokhozhaev, S. I.
6
2012
On a class of initial-boundary value problems for equations of Korteweg-de Vries type. Zbl 1246.35183
Pokhozhaev, S. I.
4
2012
Blow-up of global sign-changing solutions of a nonlinear heat equation. Zbl 1387.35385
Pohozaev, S. I.
1
2012
Variational approach to complicated similarity solutions of higher-order nonlinear PDEs. II. Zbl 1244.35019
Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I.
8
2011
On the nonexistence of global solutions of some initial-boundary value problems for the Korteweg-de Vries equation. Zbl 1232.35147
Pokhozhaev, S. I.
8
2011
On the dependence of the critical exponent of the nonlinear heat equation on the initial function. Zbl 1227.35054
Pokhozhaev, S. I.
4
2011
Weighted identities for solutions of generalized Korteweg-de Vries equations. Zbl 1231.35212
Pokhozhaev, S. I.
4
2011
Riemann quasi-invariants. Zbl 1232.35095
Pokhozhaev, S. I.
2
2011
On the existence and nonexistence of solutions of some quasilinear hyperbolic equations. Zbl 1243.35126
Pokhozhaev, S. I.
1
2011
Concerning an equation in the theory of combustion. Zbl 1233.35050
Pokhozhaev, S. I.
14
2010
On the singular solutions of the Korteweg-de Vries equation. Zbl 1231.35211
Pokhozhaev, S. I.
7
2010
On stationary solutions of the Vlasov-Poisson equations. Zbl 1204.35163
Pokhozhaev, S. I.
5
2010
On a class of singular solutions to the Korteweg-de Vries equation. Zbl 1217.35165
Pohozaev, S. I.
2
2010
Blow-up of sign-changing solutions to quasilinear parabolic equations. Zbl 1202.35039
Pohozaev, S. I.
1
2010
Some Liouville theorems for quasilinear elliptic inequalities. Zbl 1387.35207
Caristi, G.; Mitidieri, E.; Pokhozhaev, S. I.
21
2009
On global solutions and blow-up for Kuramoto-Sivashinsky-type models, and well-posed Burnett equations. Zbl 1176.35094
Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I.
18
2009
Critical nonlinearities in partial differential equations. Zbl 1205.35024
Pohozaev, Stanislav I.
15
2009
Lifespan estimates for solutions of some evolution inequalities. Zbl 1184.35075
Mitidieri, E.; Pokhozhaev, S. I.
7
2009
Variational approach to complicated similarity solutions of higher order nonlinear evolution partial differential equations. Zbl 1179.35074
Galaktionov, Victor; Mitidieri, Enzo; Pokhozhaev, Stanislav
4
2009
Global solvability of the Kuramoto-Sivashinsky equation with bounded initial data. Zbl 1178.35336
Pokhozhaev, S. I.
2
2009
Third-order nonlinear dispersive equations: shocks, rarefaction, and blowup waves. Zbl 1177.76183
Galaktionov, V. A.; Pokhozhaev, S. I.
37
2008
On blow-up of solutions of the Kuramoto-Sivashinsky equation. Zbl 1161.35491
Pokhozhaev, S. I.
13
2008
Existence and nonexistence of a global solution to the Kuramoto-Sivashinsky equation. Zbl 1152.35101
Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I.
11
2008
Nonlinear variational problems via the fibering method. Zbl 1184.35001
Pohozaev, Stanislav I.
9
2008
On the blow-up of solutions to nonlinear initial-boundary value problems. Zbl 1233.35071
Pohozaev, S. I.
3
2008
Local estimates and Liouville theorems for a class of quasilinear inequalities. Zbl 1159.35342
Caristi, Gabriella; Mitidieri, Enzo; Pohozaev, Stanislav I.
3
2008
Capacity induced by a nonlinear operator and applications. Zbl 1157.35305
Galaktionov, Victor A.; Mitidieri, Enzo; Pohozaev, Stanislav I.
3
2008
On the nonexistence of global solutions of the Hamilton-Jacobi equation. Zbl 1194.35103
Pohozaev, S. I.
3
2008
Convergence in gradient systems with branching of equilibria. Zbl 1229.35078
Galaktionov, V. A.; Pohozaev, S. I.; Shishkov, A. E.
2
2007
Blowup for nonlinear initial-boundary value problems. Zbl 1327.35163
Galaktionov, V. A.; Pohozaev, S. I.
1
2007
Blow-up and critical exponents for parabolic equations with non-divergent operators: dual porous medium and thin film operators. Zbl 1109.35015
Galaktionov, V. A.; Pohozaev, S. I.
14
2006
Representation formulae and inequalities for solutions of a class of second order partial differential equations. Zbl 1081.35014
D’Ambrosio, Lorenzo; Mitidieri, Enzo; Pohozaev, Stanislav I.
10
2006
Liouville theorems for some classes of nonlinear nonlocal problems. Zbl 1123.35087
Mitidieri, E.; Pokhozhaev, S. I.
11
2005
Towards a unified approach to nonexistence of solutions for a class of differential inequalities. Zbl 1115.35157
Mitidieri, Enzo; Pohozaev, Stanislav I.
40
2004
Global solutions of higher-order semilinear parabolic equations in the supercritical range. Zbl 1122.35040
Egorov, Yu. V.; Galaktionov, V. A.; Kondratiev, V. A.; Pohozaev, S. I.
37
2004
Nonexistence of local solutions to semilinear partial differential inequalities. Zbl 1064.35220
Pohozaev, Stanislav I.; Tesei, Alberto
21
2004
Nonexistence of global solutions to an elliptic equation with a dynamical boundary condition. Zbl 1374.35176
Kirane, Mokhtar; Nabana, Eric; Pohozaev, Stanislav I.
13
2004
Blow-up and critical exponents for nonlinear hyperbolic equations. Zbl 1012.35058
Galaktionov, V. A.; Pohozaev, S. I.
42
2003
On similarity solutions and blow-up spectra for a semilinear wave equation. Zbl 1039.35066
Galaktionov, V. A.; Pohozaev, S. I.
7
2003
Multidimensional scalar conservation laws. Zbl 1049.35130
Pokhozhaev, S. I.
5
2003
The general blowup for nonlinear PDE’s. Zbl 1064.35219
Pohozaev, Stanislav
3
2003
On a priori estimates and gradient catastrophes of smooth solutions to hyperbolic systems of conservation laws. Zbl 1077.35093
Pokhozhaev, S. I.
2
2003
On hyperbolic systems of conservation laws. Zbl 1125.35065
Pokhozhaev, S. I.
1
2003
On systems of singular quasilinear parabolic equations and inequalities. Zbl 1514.35260
Mitidieri, E.; Pokhozhaev, S. I.
1
2003
Existence and blow up for higher-order semilinear parabolic equations: majorizing order-preserving operators. Zbl 1082.35079
Galaktionov, V. A.; Pohozaev, S. I.
57
2002
On the asymptotics of global solutions of higher-order semilinear parabolic equations in the supercritical range. Zbl 1020.35029
Egorov, Yu. V.; Galaktionov, V. A.; Kondratiev, V. A.; Pohozaev, S. I.
13
2002
Some generalizations of the Bernstein theorem. Zbl 1274.35120
Mitidieri, E.; Pokhozhaev, S. I.
10
2002
The absence of solutions of elliptic systems with dynamic boundary conditions. Zbl 1290.35119
Kirane, M.; Nabana, E.; Pokhozhaev, S. I.
9
2002
Fujita-type theorems for quasilinear parabolic inequalities with nonlinear gradient. Zbl 1146.35382
Mitidieri, E.; Pokhozhaev, S. I.
9
2002
Instantaneous blow-up of solutions to a class of hyperbolic inequalities. Zbl 1024.35081
Pohozaev, Stanislav I.; Tesei, Alberto
6
2002
A general approach to the theory of nonexistence of global solutions to nonlinear partial differential equations and inequalities. Zbl 1125.35348
Pokhozhaev, S. I.
5
2002
A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities. Transl. from the Russian. Zbl 1074.35500
Mitidieri, E.; Pohozaev, S. I.
351
2001
A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities. (Apriornye otsenki i otsutstvie reshenij nelinejnykh uravnenij i neravenstv v chastnykh proizvodnykh.) Zbl 0987.35002
Mitidieri, E.; Pokhozhaev, S. I.
203
2001
Nonexistence results and estimates for some nonlinear elliptic problems. Zbl 1018.35040
Bidaut-Véron, Marie-Francoise; Pohozaev, Stanislav
127
2001
Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on \(\mathbb{R}^n\). Zbl 0988.35095
Mitidieri, Enzo; Pohozaev, Stanislav I.
55
2001
Nonexistence of weak solutions for some degenerate and singular hyperbolic problems on \(\mathbb{R}_+^{n+1}\). Zbl 1032.35138
Mitidieri, E.; Pohozaev, S. I.
20
2001
Critical exponents for the absence of solutions for systems of quasilinear parabolic inequalities. Zbl 0994.35026
Pokhozhaev, S. I.; Tesei, A.
8
2001
Equations in mathematical physics. A practical course. Transl. from the Russian by A. Iacob. Zbl 0972.35001
Pikulin, V. P.; Pohozaev, S. I.
2
2001
On a class of nonlinear Dirichlet problems with first order terms. Zbl 1098.35555
Moschini, L.; Tesei, A.; Pohozaev, S. I.
2
2001
Blow-up results for nonlinear hyperbolic inequalities. Zbl 0965.35197
Pohozaev, Stanislav; Véron, Laurent
45
2000
Nonexistence results of solutions of semilinear differential inequalities on the Heisenberg group. Zbl 0964.35046
Pohozaev, Stanislav; Véron, Laurent
28
2000
On the necessary conditions of global existence to a quasilinear inequality in the half-space. Zbl 0943.35110
Egorov, Yuri V.; Galaktionov, Victor A.; Kondratiev, Vladimir A.; Pohozaev, Stanislav I.
24
2000
Blow-up of nonnegative solutions to quasilinear parabolic inequalities. Zbl 1007.35003
Pohozaev, Stanislav I.; Tesei, Alberto
18
2000
Existence and nonexistence of solutions of nonlinear Dirichlet problems with first order terms. Zbl 0976.35025
Moschini, Luisa; Pohozaev, Stanislav I.; Tesei, Alberto
11
2000
Multiple positive solutions of some quasilinear Neumann problems. Zbl 1063.35065
Pohozaev, Stanislav I.; Véron, Laurent
7
2000
Conditions for the existence of solutions to a quasilinear inequality in half-space. Zbl 0978.35104
Galaktionov, V. A.; Egorov, Yu. V.; Kondrat’ev, V. A.; Pokhozhaev, S. I.
1
2000
Nonexistence of positive solutions for quasilinear elliptic problems in \(\mathbb R^N\). Zbl 1056.35507
Mitidieri, E.; Pokhozhaev, S. I.
80
1999
Nonexistence of positive solutions for a system of quasilinear elliptic equations and inequalities in \({\mathbb{R}}^N\). Zbl 0969.35052
Mitidieri, E.; Pokhozhaev, S. I.
27
1999
The fibering method and its applications to nonlinear boundary value problem. Zbl 0964.58016
Pohožaev, S. I.
7
1999
Existence and nonexistence of solutions of nonlinear Neumann problems. Zbl 0944.35030
Pohozaev, Stanislav I.; Tesei, Alberto
4
1999
The Cauchy problem for the extended Fisher-Kolmogorov equation. Zbl 0937.35083
Peletier, L. A.; Pokhozhaev, S. I.
1
1999
The existence and nonexistence of periodic solutions to certain nonlinear hyperbolic equations. Zbl 0990.35015
Pokhozhaev, S. I.
1
1999
The absence of global positive solutions of quasilinear elliptic inequalities. Zbl 0976.35100
Mitidieri, E.; Pokhozhaev, S. I.
80
1998
Existence of positive solutions to some nonlinear Neumann problems. Zbl 0968.35049
Pokhozhaev, S. I.; Tesej, A.
6
1998
On the nonexistence of periodic radial solutions for semilinear wave equations in unbounded domain. Zbl 1004.35091
Mustonen, Vesa; Pohožaev, Stanislav
3
1998
On the reaction-diffusion electrolysis nonlinear elliptic equations. Zbl 0912.35063
Pokhozhaev, S. I.
2
1998
On the existence and nonexistence of periodic solutions to some nonlinear hyperbolic equations. Zbl 0972.35073
Pokhozhaev, S. I.
1
1998
Positive solutions for the \(p\)-Laplacian: Application of the fibrering method. Zbl 0880.35045
Drábek, Pavel; Pohozaev, Stanislav I.
217
1997
Entire solutions of semilinear elliptic equations. Zbl 0882.35003
Kuzin, I.; Pohozaev, S.
66
1997
The essentially nonlinear capacities induced by differential operators. Zbl 0963.35056
Pokhozhaev, S. I.
41
1997
The fibering method in nonlinear variational problems. Zbl 0901.35018
Pohozaev, A. I.
16
1997
On the global fibering method in nonlinear variational problems. Zbl 0940.35092
Pohozaev, S. I.
8
1997
On Maslov equations. Zbl 0852.45014
Pokhozhaev, S. I.
2
1995
A nonlinear elliptic problem of H. Amann. Zbl 0827.35038
Pokhozhaev, S. I.
1
1994
On entire radial solutions of quasilinear elliptic equations. Zbl 0865.35046
Pokhozhaev, S. I.
1
1993
The sharp a priori estimates for some superlinear degenerate elliptic problems. Zbl 0838.35018
Pokhozhaev, Stanislav I.
1
1993
On entire solutions of semilinear elliptic equations. Zbl 0821.35046
Pokhozhaev, S.
2
1992
On entire radial solutions of some quasilinear elliptic equations. Zbl 0797.35041
Pokhozhaev, S. I.
1
1992
On elliptic problems in \(\mathbb{R}{}^ N\) with a supercritical exponent of nonlinearity. Zbl 0746.35015
Pokhozhaev, S. I.
2
1991
On entire solutions of a class of quasilinear elliptic equations. Zbl 0782.35012
Pokhozhaev, S. I.
2
1991
On the asymptotics of entire radial solutions of quasilinear elliptic equations. Zbl 0793.35031
Pokhozhaev, S. I.
2
1991
On the method of fibering a solution of nonlinear boundary value problems. Zbl 0734.35036
Pokhozhaev, S. I.
27
1990
...and 25 more Documents
all top 5

Cited by 1,919 Authors

58 Jleli, Mohamed Boussairi
58 Samet, Bessem
56 Korpusov, Maksim Olegovich
42 Kirane, Mokhtar
36 Galaktionov, Victor Aleksandrovich
35 Pokhozhaev, Stanislav I.
27 Galakhov, Evgeniĭ Igorevich
26 Mitidieri, Enzo Luigi
26 Wu, Tsungfang
21 D’Ambrosio, Lorenzo
20 Il’yasov, Yavdat Shavkatovich
20 Nguyễn Văn Hoàng
20 Salieva, Olga Alekseevna
19 Filippucci, Roberta
19 Lu, Guozhen
18 Dzhokhadze, Otar Mikhajlovich
18 Fino, Ahmad Z.
18 Kon’kov, Andrej A.
17 Kharibegashvili, S. S.
16 Musso, Monica
16 Pistoia, Angela
15 Al-saedi, Ahmed Eid Salem
15 Farina, Alberto
15 Passaseo, Donato
14 Ahmad, Bashir
14 Álvarez-Caudevilla, Pablo
14 Chen, Caisheng
14 Sun, Yuhua
13 Panin, Aleksandr Anatol’evich
13 Quaas, Alexander
13 Véron, Laurent
13 Wei, Juncheng
13 Yang, Zuodong
12 Lam, Nguyen
12 Nguyen Thanh Long
12 Pacella, Filomena
12 Punzo, Fabio
11 Aliev, Akbar B.
11 Alves, Claudianor Oliveira
11 Bidaut-Veron, Marie-Françoise
11 Ghergu, Marius
11 Ishige, Kazuhiro
11 Torebek, Berikbol Tillabayuly
10 Da Silva, Edcarlos Domingos
10 Dai, Wei
10 Gazzola, Filippo
10 Molle, Riccardo
10 Yang, Qiaohua
10 Yushkov, Egor Vladislavovich
9 Clapp, Mónica
9 Cowan, Craig
9 García-Melián, Jorge
9 Kawakami, Tatsuki
9 Miyagaki, Olimpio Hiroshi
9 Muravnik, Andreĭ Borisovich
9 Ruzhansky, Michael V.
9 Saoudi, Kamel
9 Souplet, Philippe
9 Sreenadh, Konijeti
9 Sun, Juntao
9 Tatar, Nasser-eddine
9 Ubilla, Pedro
9 Weth, Tobias
9 Zou, Wenming
8 Antontsev, Stanislav Nikolaevich
8 Chen, Wenjing
8 Do Ó, João M. Bezerra
8 Goulart, Claudiney
8 Grossi, Massimo
8 Gutlyanskiĭ, Vladimir Ya.
8 Luk’yanenko, Dmitriĭ Vital’evich
8 Pardo, Rosa M.
8 Ryazanov, Vladimir Il’ich
8 Sciunzi, Berardino
8 Silva, Kaye O.
8 Xiu, Zonghu
8 Yuldashev, Tursun Kamaldinovich
8 Zhang, Jianjun
7 Astashova, Irina Viktorovna
7 Carvalho, Marcos L. M.
7 Castro, Alfonso
7 Dancer, Edward Norman
7 Deng, Shengbing
7 Duong, Anh Tuan
7 Grunau, Hans-Christoph
7 Harrabi, Abdellaziz
7 Nefedov, Nikolaĭ Nikolaevich
7 Nesmelova, Ol’ga Vladimirovna
7 Pucci, Patrizia
7 Rigoli, Marco
7 Sirakov, Boyan Slavchev
7 Skrzypczak, Leszek
7 Tesei, Alberto
6 Bonheure, Denis
6 Bozhkov, Yuri Dimitrov
6 D’Abbicco, Marcello
6 Dao, Tuan Anh
6 Del Pino, Manuel A.
6 El Hamidi, Abdallah
6 Fang, Zhongbo
...and 1,819 more Authors
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Cited in 300 Serials

179 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
150 Journal of Mathematical Analysis and Applications
145 Journal of Differential Equations
57 Calculus of Variations and Partial Differential Equations
56 Differential Equations
49 Mathematical Methods in the Applied Sciences
49 Mathematical Notes
43 Nonlinear Analysis. Theory, Methods & Applications
42 Journal of Functional Analysis
42 Journal of Mathematical Sciences (New York)
40 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
40 Discrete and Continuous Dynamical Systems
34 Communications on Pure and Applied Analysis
31 Complex Variables and Elliptic Equations
30 Advances in Nonlinear Analysis
28 NoDEA. Nonlinear Differential Equations and Applications
26 Computers & Mathematics with Applications
25 Applicable Analysis
24 Applied Mathematics Letters
24 Advanced Nonlinear Studies
23 Boundary Value Problems
22 Theoretical and Mathematical Physics
20 Annali di Matematica Pura ed Applicata. Serie Quarta
19 Mathematische Annalen
19 Computational Mathematics and Mathematical Physics
19 Communications in Contemporary Mathematics
18 Journal of Mathematical Physics
18 Applied Mathematics and Computation
17 Mediterranean Journal of Mathematics
17 Proceedings of the Steklov Institute of Mathematics
16 Archive for Rational Mechanics and Analysis
16 Electronic Journal of Differential Equations (EJDE)
16 Discrete and Continuous Dynamical Systems. Series S
15 Transactions of the American Mathematical Society
14 Proceedings of the American Mathematical Society
14 Nonlinear Analysis. Real World Applications
14 Journal of Evolution Equations
13 Advances in Mathematics
12 ZAMP. Zeitschrift für angewandte Mathematik und Physik
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Nonlinearity
11 Manuscripta Mathematica
11 Mathematische Nachrichten
11 Acta Applicandae Mathematicae
11 Communications in Partial Differential Equations
11 Journal de Mathématiques Pures et Appliquées. Neuvième Série
11 Topological Methods in Nonlinear Analysis
10 Journal d’Analyse Mathématique
10 Journal of Function Spaces
10 Journal of Elliptic and Parabolic Equations
9 Potential Analysis
9 Izvestiya: Mathematics
9 Abstract and Applied Analysis
8 Doklady Mathematics
8 Milan Journal of Mathematics
7 Communications in Mathematical Physics
7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
7 Journal of Computational and Applied Mathematics
7 Monatshefte für Mathematik
7 Siberian Mathematical Journal
7 The Journal of Geometric Analysis
7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
7 Journal of Dynamics and Differential Equations
7 Lobachevskii Journal of Mathematics
7 SN Partial Differential Equations and Applications
6 Ukrainian Mathematical Journal
6 Duke Mathematical Journal
6 Physica D
6 Journal of Inequalities and Applications
6 Fractional Calculus & Applied Analysis
6 Journal of Nonlinear Mathematical Physics
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 Journal of Fixed Point Theory and Applications
6 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
6 Science China. Mathematics
6 Analysis and Mathematical Physics
5 Proceedings of the Japan Academy. Series A
5 Studies in Applied Mathematics
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Filomat
5 Opuscula Mathematica
5 Boletín de la Sociedad Matemática Mexicana. Third Series
5 Discrete and Continuous Dynamical Systems. Series B
4 Chaos, Solitons and Fractals
4 International Journal of Mathematics and Mathematical Sciences
4 Mathematische Zeitschrift
4 Quarterly of Applied Mathematics
4 Asymptotic Analysis
4 Forum Mathematicum
4 Turkish Journal of Mathematics
4 The Journal of Fourier Analysis and Applications
4 Revista Matemática Complutense
4 Acta Mathematica Sinica. English Series
4 Boletim da Sociedade Paranaense de Matemática. Terceira Série
4 Advances in Difference Equations
4 Ufimskiĭ Matematicheskiĭ Zhurnal
4 Eurasian Mathematical Journal
3 Lithuanian Mathematical Journal
3 Rocky Mountain Journal of Mathematics
3 Journal of Soviet Mathematics
...and 200 more Serials
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Cited in 39 Fields

1,961 Partial differential equations (35-XX)
114 Ordinary differential equations (34-XX)
109 Functional analysis (46-XX)
106 Operator theory (47-XX)
100 Global analysis, analysis on manifolds (58-XX)
88 Real functions (26-XX)
51 Calculus of variations and optimal control; optimization (49-XX)
48 Fluid mechanics (76-XX)
47 Numerical analysis (65-XX)
41 Mechanics of deformable solids (74-XX)
35 Integral equations (45-XX)
30 Potential theory (31-XX)
26 Differential geometry (53-XX)
24 Dynamical systems and ergodic theory (37-XX)
24 Harmonic analysis on Euclidean spaces (42-XX)
22 Statistical mechanics, structure of matter (82-XX)
21 Quantum theory (81-XX)
12 Biology and other natural sciences (92-XX)
10 Topological groups, Lie groups (22-XX)
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9 Systems theory; control (93-XX)
8 Optics, electromagnetic theory (78-XX)
7 Measure and integration (28-XX)
7 Probability theory and stochastic processes (60-XX)
6 History and biography (01-XX)
6 Abstract harmonic analysis (43-XX)
5 Algebraic topology (55-XX)
5 Mechanics of particles and systems (70-XX)
4 Difference and functional equations (39-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Astronomy and astrophysics (85-XX)
2 Special functions (33-XX)
2 Approximations and expansions (41-XX)
2 Convex and discrete geometry (52-XX)
2 General topology (54-XX)
1 General and overarching topics; collections (00-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistics (62-XX)
1 Operations research, mathematical programming (90-XX)

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