Edit Profile (opens in new tab) Maz’ya, Vladimir Gilelevich Compute Distance To: Compute Author ID: mazya.vladimir-gilelevich Published as: Maz’ya, V. G.; Maz’ya, Vladimir; Maz’ya, V.; Maz’ya, Vladimir G.; Mazya, V. G.; Maz’ya, Vladimir Gilelevich; Mazja, Wladimir; Mazýa, Vladimir; Mazja, W. G.; Mazya, Vladimir Gilelevich; Maz’ja, Vladimir G.; Mazya, Vladimir G.; Maz’ya, Vladimir.; Masja, W. G.; Mazya, V.; Mazýa, V. External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 629 Publications since 1959, including 35 Books 7 Contributions as Editor · 1 Further Contribution Biographic References: 18 Publications Co-Authors: 135 Co-Authors with 508 Joint Publications 3,338 Co-Co-Authors all top 5 Co-Authors 121 single-authored 78 Plamenevskiĭ, Boris Alekseevich 50 Shaposhnikova, Tatyana Olegovna 46 Kozlov, Vladimir A. 37 Kresin, Gershon I. 31 Nazarov, Sergeĭ Aleksandrovich 27 Schmidt, Gunther 21 Movchan, Alexander B. 20 Rossmann, Jürgen 18 Lanzara, Flavia 17 Cianchi, Andrea 15 Poborchii, S. V. 14 Khavin, Viktor Petrovich 13 Solov’ev, Alexander Artemovich 12 Vaĭnberg, Boris Rufimovich 11 Verbitsky, Igor E. 9 Gel’man, Igor’ Vol’fovich 9 Kuznetsov, Nikolai Germanovich 8 Cialdea, Alberto 8 Grachev, Nikolai V. 8 McOwen, Robert C. 5 Burago, Yuriĭ Dmitrievich 5 Karlin, Vladimir 5 Khajkin, Yu. E. 5 Mayboroda, Svitlana 5 Mitrea, Marius 5 Sapozhnikova, V. D. 5 Slutskiĭ, A. S. 4 Krol’, I. N. 4 Neves, Mario jun. 4 Paneah, Boris 4 Shubin, Mikhail Aleksandrovich 4 Verzhbinskij, G. M. 4 Wendland, Wolfgang L. 4 Zargaryan, Stepan S. 3 Filippas, Stathis 3 Fomin, A. V. 3 Kamotskĭ, Il’ya Vladimirovich 3 Kerimov, T. M. 3 Kondrat’ev, Vladimir Aleksandrovich 3 Kuchment, Peter A. 3 Luo, Guo 3 Morozov, Nikita Fedorovich 3 Novruzov, Ali A. 3 Parton, Vladimir Z. 3 Tertikas, Achilles 2 Alvarado, Ryan 2 Babich, Vasiliĭ Mikhaĭlovich 2 Bakel’man, Il’ya Yakovlevich 2 Braverman, Maxim 2 Brigham, Dan 2 Friedlander, Leonid 2 Galaktionov, Victor Aleksandrovich 2 Gamkrelidze, Revaz Valerianovich 2 Gelman, I. W. 2 Gromov, Mikhael Leonidovich 2 Ivanov, Tjavdar 2 Ivrii, Victor Ja. 2 Jaye, Benjamin J. 2 Kordyukov, Yuri A. 2 Koshelev, Aleksander Ivanovich 2 Natroshvili, David 2 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 2 Otelbaev, Mukhtarbaĭ Otelbaevich 2 Plamenevskij, B. P. 2 Schwab, Christoph 2 Shargorodsky, Eugene 2 Stupyalis, Lyudvikas I. 2 Sunada, Toshikazu 2 Ziadé, Elia 1 Agranovsky, Mark L. 1 Alkhutov, Yuriy Alexandrovich 1 Alvino, Angelo 1 Antman, Stuart S. 1 Barletta, Giuseppina 1 Ben-Artzi, Matania 1 Björn, Jana 1 Böttcher, Albrecht 1 Bukhshtaber, Viktor Matveevich 1 Bullough, Robin K. 1 Carbery, Anthony 1 Carleson, Lennart 1 Carlsson, Anders E. 1 Costea, Şerban 1 Costin, Ovidiu 1 Dikansky, Arnold 1 Dindoš, Martin 1 dos Santos, António Ferreira 1 Duduchava, Roland 1 Egorov, Yuriĭ Vladimirovich 1 Elschner, Johannes 1 Feistauer, Miloslav 1 Fichera, Gaetano 1 Fomin, Aleksey N. 1 Freidlin, Mark I. 1 Galloway, Greg 1 Gibiansky, E. 1 Gohberg, Israel 1 Hänler, Michael 1 Hansson, Kurt 1 Hellsten, Hans ...and 59 more Co-Authors all top 5 Serials 31 Soviet Mathematics. Doklady 28 Journal of Mathematical Sciences (New York) 25 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 19 Journal of Soviet Mathematics 19 Mathematische Nachrichten 15 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 14 Vestnik Leningrad University. Mathematics 12 Translations. Series 2. American Mathematical Society 11 Applicable Analysis 9 Uspekhi Matematicheskikh Nauk [N. S.] 9 Functional Analysis and its Applications 9 Transactions of the Moscow Mathematical Society 9 Zeitschrift für Analysis und ihre Anwendungen 9 Mathematics of the USSR, Sbornik 9 St. Petersburg Mathematical Journal 8 Russian Mathematical Surveys 8 Siberian Mathematical Journal 8 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 7 Matematicheskiĭ Sbornik. Novaya Seriya 7 Trudy Moskovskogo Matematicheskogo Obshchestva 7 Asymptotic Analysis 6 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 6 Journal of Functional Analysis 6 Mathematics of the USSR. Izvestiya 6 Soviet Mathematics 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Potential Analysis 5 Archive for Rational Mechanics and Analysis 5 Sibirskiĭ Matematicheskiĭ Zhurnal 5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 5 Communications in Partial Differential Equations 5 Mathematical Surveys and Monographs 5 Operator Theory: Advances and Applications 4 Mathematical Methods in the Applied Sciences 4 Mathematical Notes 4 Inventiones Mathematicae 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Soviet Physics. Doklady 4 Georgian Mathematical Journal 4 Functional Differential Equations 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Complex Variables and Elliptic Equations 3 Journal d’Analyse Mathématique 3 Journal of Applied Mathematics and Mechanics 3 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 3 Arkiv för Matematik 3 Vestnik St. Petersburg University. Mathematics 3 Applied and Computational Harmonic Analysis 3 Problemy Matematicheskogo Analiza 3 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 3 Lecture Notes in Mathematics 3 Teubner-Texte zur Mathematik 2 Matematicheskie Zametki 2 Wave Motion 2 Advances in Mathematics 2 Akademiya Nauk Armyanskoĭ SSR. Doklady 2 BIT 2 Commentationes Mathematicae Universitatis Carolinae 2 Czechoslovak Mathematical Journal 2 Differential Equations 2 Integral Equations and Operator Theory 2 Journal of Approximation Theory 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 Mathematica Scandinavica 2 Selecta Mathematica Sovietica 2 Annals of Global Analysis and Geometry 2 Mathematica Bohemica 2 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 2 Matematicheskiĭ Sbornik 2 Calculus of Variations and Partial Differential Equations 2 Memoirs on Differential Equations and Mathematical Physics 2 Mathematical Research Letters 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Proceedings of A. Razmadze Mathematical Institute 2 Journal of the European Mathematical Society (JEMS) 2 Multiscale Modeling & Simulation 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Grundlehren der Mathematischen Wissenschaften 2 EMS Tracts in Mathematics 1 Communications on Pure and Applied Mathematics 1 Dinamika Sploshnoĭ Sredy 1 Doklady Akademii Nauk SSSR 1 Godshnik na Visshite Uchebni Zavedeniya. Prilozhna Matematika 1 IMA Journal of Numerical Analysis 1 Inverse Problems 1 Journal of Computational Physics 1 Letters in Mathematical Physics 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Mathematics of Computation 1 Acta Mathematica 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Calcolo 1 Differentsial’nye Uravneniya 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Geometry ...and 56 more Serials all top 5 Fields 390 Partial differential equations (35-XX) 135 Functional analysis (46-XX) 110 Potential theory (31-XX) 79 Operator theory (47-XX) 45 Mechanics of deformable solids (74-XX) 43 Numerical analysis (65-XX) 41 Integral equations (45-XX) 35 Fluid mechanics (76-XX) 26 Real functions (26-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 22 Approximations and expansions (41-XX) 21 Functions of a complex variable (30-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 History and biography (01-XX) 12 Ordinary differential equations (34-XX) 8 Measure and integration (28-XX) 7 General and overarching topics; collections (00-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Quantum theory (81-XX) 3 Difference and functional equations (39-XX) 3 Integral transforms, operational calculus (44-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 413 Publications have been cited 4,315 times in 2,729 Documents Cited by ▼ Year ▼ Sobolev spaces. (Prostranstva S. L. Soboleva.) Zbl 0727.46017Maz’ya, V. G. 195 1985 Elliptic boundary value problems in domains with point singularities. Zbl 0947.35004Kozlov, V. A.; Maz’ya, V. G.; Rossmann, J. 167 1997 Spectral problems associated with corner singularities of solutions to elliptic equations. Zbl 0965.35003Kozlov, V. A.; Maz’ya, V. G.; Rossmann, J. 134 2001 On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces. Zbl 1028.46050Maz’ya, V.; Shaposhnikova, T. 130 2002 On the coefficients in the asymptotic of solutions of the elliptic boundary problem in domains with conical points. Zbl 0359.35024Maz’ya, V. G.; Plamenevskij, B. A. 102 1977 Sobolev spaces. With applications to elliptic partial differential equations. Transl. from the Russian by T. O. Shaposhnikova. 2nd revised and augmented ed. Zbl 1217.46002Maz’ya, Vladimir G. 100 2011 Global Lipschitz regularity for a class of quasilinear elliptic equations. Zbl 1220.35065Cianchi, Andrea; Maz’ya, Vladimir G. 83 2011 Differentiable functions on bad domains. Zbl 0918.46033Maz’ya, Vladimir G.; Poborchi, Sergei V. 82 1997 Abschätzungen im \(L_p\) und in Hölderschen Klassen und das Miranda- Agmonsche Maximumprinzip für die Lösungen elliptischer Randwertprobleme in Gebieten mit singulären Punkten auf dem Rande. Zbl 0371.35018Maz’ya, V. G.; Plamenevskij, B. A. 64 1978 An iterative method for solving the Cauchy problem for elliptic equations. Zbl 0774.65069Kozlov, V. A.; Maz’ya, V. G.; Fomin, A. V. 63 1991 Classes of domains and imbedding theorems for function spaces. Zbl 0114.31001Maz’ya, V. G. 63 1960 Global boundedness of the gradient for a class of nonlinear elliptic systems. Zbl 1298.35070Cianchi, Andrea; Maz’ya, Vladimir G. 63 2014 Elliptic equations in polyhedral domains. Zbl 1196.35005Maz’ya, Vladimir; Rossmann, Jürgen 59 2010 Linear water waves. A mathematical approach. Zbl 0996.76001Kuznetsov, N.; Maz’ya, V.; Vainberg, B. 58 2002 Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii. Zbl 1127.35301Maz’ya, V.; Nazarov, S.; Plamenevskii, B. 56 2000 Asymptotic analysis of fields in multi-structures. Zbl 0951.35004Kozlov, V. A.; Maz’ya, V. G.; Movchan, A. B. 55 1999 Sobolev spaces. Transl. from the Russian by T. O. Shaposhnikova. Zbl 0692.46023Maz’ya, Vladimir G. 54 1985 Theory of multipliers in spaces of differentiable functions. Zbl 0645.46031Maz’ya, V. G.; Shaposhnikova, T. O. 54 1985 Estimates in \(L_ p\) and in Hölder classes and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary. Zbl 0554.35035Maz’ya, V. G.; Plamenevskij, B. A. 50 1984 Gradient regularity via rearrangements for \(p\)-Laplacian type elliptic boundary value problems. Zbl 1288.35128Cianchi, Andrea; Maz’ya, Vladimir 47 2014 Critical Hardy–Sobolev inequalities. Zbl 1151.35368Filippas, S.; Maz’ya, V.; Tertikas, A. 46 2007 Criteria of solvability for multidimensional Riccati equations. Zbl 1087.35513Hansson, Kurt; Maz’ya, Vladimir G.; Verbitsky, Igor E. 44 1999 \(L_p\) estimates of solutions to mixed boundary value problems for the Stokes system in polyhedral domains. Zbl 1187.35157Maz’ya, V.; Rossmann, J. 42 2007 Capacitary inequalities for fractional integrals, with applications to partial differential equations and Sobolev multipliers. Zbl 0834.31006Maz’ya, Vladimir G.; Verbitsky, Igor E. 42 1995 Pathological solutions to elliptic problems in divergence form with continuous coefficients. Zbl 1198.35055Jin, Tianling; Maz’ya, Vladimir; Van Schaftingen, Jean 41 2009 Lectures on isoperimetric and isocapacitary inequalities in the theory of Sobolev spaces. Zbl 1062.31009Maz’ya, Vladimir 37 2003 The Schrödinger operator on the energy space: Boundedness and compactness criteria. Zbl 1013.35021Maz’ya, Vladimir G.; Verbitsky, Igor E. 35 2002 On approximate approximations using Gaussian kernels. Zbl 0838.65005Maz’ya, Vladimir; Schmidt, Gunther 33 1996 The Dirichlet problem in Lipschitz domains for higher order elliptic systems with rough coefficients. Zbl 1199.35080Maz’ya, Vladimir.; Mitrea, Marius; Shaposhnikova, Tatyana 32 2010 Über die Asymptotik der Lösungen elliptischer Randwertaufgaben in der Umgebung von Kanten. (On the asymptotic representation of solutions of elliptic boundary value problems in the neighbourhood of angles). Zbl 0672.35020Maz’ya, Vladimir Gilelevich; Rossmann, Jürgen 31 1988 Zur Theorie des mehrdimensionalen Schrödinger-Operators. Zbl 0148.35602Maz’ya, V. G. 30 1964 On a question of Brezis and Marcus. Zbl 1121.26014Filippas, S.; Maz’ya, V.; Tertikas, A. 29 2006 Sharp Hardy-Sobolev inequalities. Zbl 1058.26007Filippas, S.; Maz’ya, V. G.; Tertikas, A. 28 2004 Weighted \(L_{p}\) estimates of solutions to boundary value problems for second order elliptic systems in polyhedral domains. Zbl 1065.35109Maz’ya, Vladimir G.; Rossmann, Jürgen 28 2003 Green’s kernels and meso-scale approximations in perforated domains. Zbl 1273.35007Maz’ya, Vladimir; Movchan, Alexander; Nieves, Michael 28 2013 Asymptotic expansions of the eigenvalues of boundary value problems for the Laplace operator in domains with small holes. Zbl 0566.35031Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 27 1985 Approximate approximations from scattered data. Zbl 1119.41015Lanzara, F.; Maz’ya, V.; Schmidt, G. 27 2007 Non-linear potential theory. Zbl 0269.31004Maz’ya, V. G.; Khavin, V. P. 26 1973 Mixed boundary value problems for the stationary Navier-Stokes system in polyhedral domains. Zbl 1253.76019Maz’ya, V.; Rossmann, J. 24 2009 Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings. Zbl 1105.46017Maz’ya, Vladimir 24 2005 Theory of Sobolev multipliers. With applications to differential and integral operators. Zbl 1157.46001Maz’ya, Vladimir G.; Shaposhnikova, Tatyana O. 24 2009 On the coefficients in the asymptotics of solutions of elliptic boundary value problems in domains with conical points. Zbl 0554.35036Maz’ya, V. G.; Plamenevskij, B. A. 23 1984 Global gradient estimates in elliptic problems under minimal data and domain regularity. Zbl 1325.35027Cianchi, Andrea; Maz’ya, Vladimir 23 2015 Differential equations with operator coefficients with applications to boundary value problems for partial differential equations. Zbl 0920.35003Kozlov, Vladimir; Maz’ya, Vladimir 23 1999 Asymptotic treatment of perforated domains without homogenization. Zbl 1185.35060Maz’ya, V.; Movchan, A. 23 2010 Criterion for the \(L^p\)-dissipativity of second order differential operators with complex coefficients. Zbl 1093.47047Cialdea, A.; Maz’ya, V. 23 2005 On sign variation and the absence of “strong” zeros of solutions of elliptic equations. Zbl 0701.35062Kozlov, V. A.; Kondrat’ev, V. A.; Maz’ya, V. G. 21 1990 The inhomogeneous Dirichlet problem for the Stokes system in Lipschitz domains with unit normal close to VMO. Zbl 1271.47072Maz’ya, V.; Mitrea, M.; Shaposhnikova, T. 21 2009 Selected problems on exceptional sets. Translation from the English by V.P.Havin. Edited by V.G.Maz’ya. (Izbrannye problemy teorii isklyuchitel’nykh mnozhestv.) Zbl 0224.31001Carleson, Lennart 20 1971 Second-order two-sided estimates in nonlinear elliptic problems. Zbl 1398.35078Cianchi, Andrea; Maz’ya, Vladimir G. 20 2018 Quasilinear elliptic problems with general growth and merely integrable, or measure, data. Zbl 1373.35113Cianchi, Andrea; Maz’ya, Vladimir 20 2017 On the Agmon-Miranda maximum principle for solutions of elliptic equations in polyhedral and polygonal domains. Zbl 0753.35013Maz’ya, Vladimir Gilelevich; Rossmann, Jürgen 19 1991 On certain integral inequalities for functions of many variables. Zbl 0284.26011Maz’ya, V. G. 19 1973 Discreteness of spectrum and positivity criteria for Schrödinger operators. Zbl 1106.35043Maz’ya, Vladimir; Shubin, Mikhail 19 2005 Well-posed elliptic Neumann problems involving irregular data and domains. Zbl 1200.35105Alvino, Angelo; Cianchi, Andrea; Maz’ya, Vladimir G.; Mercaldo, Anna 18 2010 The Wiener test for higher order elliptic equations. Zbl 1129.35346Maz’ya, Vladimir 18 2002 Boundedness of the gradient of a solution and Wiener test of order one for the biharmonic equation. Zbl 1166.35014Mayboroda, Svitlana; Maz’ya, Vladimir 17 2009 On pointwise interpolation inequalities for derivatives. Zbl 0936.26008Maz’ya, Vladimir; Shaposhnikova, Tatyana 17 1999 Form boundedness of the general second-order differential operator. Zbl 1169.35014Mazya, Vladimir G.; Verbitsky, Igor E. 17 2006 Asymptotic formula for solutions to elliptic equations near the Lipschitz boundary. Zbl 1223.35144Kozlov, Vladimir; Maz’ya, Vladimir 16 2005 The form boundedness criterion for the relativistic Schrödinger operator. Zbl 1126.35011Maz’ya, Vladimir; Verbitsky, Igor 16 2004 On quasi-interpolation with non-uniformly distributed centers on domains and manifolds. Zbl 0976.41004Maz’ya, Vladimir; Schmidt, Gunther 16 2001 On the regularity of domains satisfying a uniform hour-glass condition and a sharp version of the Hopf-Oleinik boundary point principle. Zbl 1290.35046Alvarado, R.; Brigham, D.; Maz’ya, V.; Mitrea, M.; Ziadé, E. 16 2011 Schauder estimates for solutions to a mixed boundary value problem for the Stokes system in polyhedral domains. Zbl 1189.35085Maz’ya, V. G.; Rossmann, J. 16 2006 Higher regularity in the layer potential theory for Lipschitz domains. Zbl 1132.31003Maz’ya, Vladimir; Shaposhnikova, Tatyana 15 2005 Approximate approximations. Zbl 0827.65083Maz’ya, V. 14 1994 Asymptotic behavior of solutions of elliptic equations of the second order close to a boundary. I. Zbl 0243.35025Verzhbinskii, G. M.; Maz’ya, V. G. 14 1972 Asymptotics of solutions to elliptic boundary value problems under singular perturbations of domains. (Асимптотика решений ѐллиптических краевых задач при сингулярных возмущениях области.) Zbl 0462.35001Maz’ya, V. G.; Nazarov, S. A.; Plamenevskiĭ, B. A. 14 1981 On an iteration method for solving the Cauchy problem for elliptic equations. Zbl 0733.65056Kozlov, V. A.; Maz’ya, V. G.; Fomin, A. V. 14 1991 Existence and regularity of positive solutions of elliptic equations of Schrödinger type. Zbl 1307.35099Jaye, B. J.; Maz’ya, V. G.; Verbitsky, I. E. 14 2012 The first boundary value problem for classical equations of mathematical physics in domains with partially smooth boundaries. I. Zbl 0532.35065Maz’ya, V. G.; Plamenevskij, B. A. 13 1983 Multipliers in spaces of differentiable functions. (Mul’tiplikatory v prostranstvakh differentsiruemykh funktsij.) Zbl 0695.46016Maz’ya, V. G.; Shaposhnikova, T. O. 13 1986 Über ein entartetes Problem mit schiefer Ableitung. Zbl 0262.35024Maz’ya, V. G. 13 1972 Potential theory and function theory for irregular regions. Zbl 0177.37502Burago, Yu. D.; Maz’ya, V. G. 13 1969 Examples of nonregular solutions of quasilinear elliptic equations with analytic coefficients. Zbl 0179.43601Maz’ya, V. G. 13 1968 On weak solutions of the Dirichlet and Neumann problems. Zbl 0226.35027Maz’ya, V. G. 13 1971 Spectral properties of the operator bundles generated by elliptic boundary-value problems in a cone. Zbl 0672.35050Kozlov, V. A.; Maz’ya, V. G. 13 1988 An elementary proof of the Brezis and Mironescu theorem on the composition operator in fractional Sobolev spaces. Zbl 1006.46024Maz’ya, V.; Shaposhnikova, T. 13 2002 Maximum principles and sharp constants for solutions of elliptic and parabolic systems. Zbl 1255.35001Kresin, Gershon; Maz’ya, Vladimir 13 2012 Neumann problems and isocapacitary inequalities. Zbl 1146.35041Cianchi, Andrea; Maz’ya, Vladimir G. 12 2008 Discreteness of spectrum and strict positivity criteria for magnetic Schrödinger operators. Zbl 1140.35300Kondratiev, Vladimir; Maz’ya, Vladimir; Shubin, Mikhail 12 2004 Certain questions of potential theory and function theory for regions with irregular boundaries. Zbl 0172.14903Burago, Yu. D.; Maz’ya, V. G. 12 1967 A collection of sharp dilation invariant integral inequalities for differentiable functions. Zbl 1161.26302Maz’ya, Vladimir; Shaposhnikova, Tatyana 12 2009 Can one see the fundamental frequency of a drum? Zbl 1099.35071Maz’ya, Vladimir; Shubin, Mikhail 12 2005 Coefficients in the asymptotics of the solutions of elliptic boundary- value problems in a cone. Zbl 0396.35038Maz’ya, V. G.; Plamenevskij, B. A. 12 1978 Mesoscale asymptotic approximations to solutions of mixed boundary value problems in perforated domains. Zbl 1223.35293Maz’ya, V.; Movchan, A.; Nieves, M. 12 2011 Sharp pointwise estimates for directional derivatives of harmonic functions in a multidimensional ball. Zbl 1222.31003Kresin, G.; Maz’ya, V. 12 2010 Quasilinear elliptic equations and weighted Sobolev-Poincaré inequalities with distributional weights. Zbl 1331.35148Jaye, Benjamin J.; Maz’ya, Vladimir G.; Verbitsky, Igor E. 12 2013 Pointwise estimates for Green’s kernel of a mixed boundary value problem to the Stokes system in a polyhedral cone. Zbl 1161.35465Maz’ya, V.; Rossmann, J. 11 2005 Uniform asymptotic formulae for Green’s tensors in elastic singulary perturbed domains. Zbl 1141.35011Maz’ya, V. G.; Movchan, A. B.; Nieves, M. J. 11 2007 “Approximate approximations” and the cubature of potentials. Zbl 0845.65008Maz’ya, Vladimir; Schmidt, Gunther 11 1995 On continuity in a boundary point of solutions of quasilinear elliptic equations. Zbl 0252.35024Maz’ya, V. G. 11 1970 Asymptotic analysis of a mixed boundary value problem in a multi- structure. Zbl 0812.35019Kozlov, V. A.; Maz’ya, V. G.; Movchan, A. B. 11 1994 Differentiability of solutions to second-order elliptic equations via dynamical systems. Zbl 1225.35070Maz’ya, Vladimir; McOwen, Robert 11 2011 On iterative procedures for solving ill-posed boundary value problems that preserve differential equations. Zbl 0732.65090Kozlov, V. A.; Maz’ya, V. G. 11 1990 On the fast computation of high dimensional volume potentials. Zbl 1213.65046Lanzara, Flavia; Maz’ya, Vladimir; Schmidt, Gunther 11 2011 The three-dimensional problem of steady-state motion of a fluid with a free surface. Zbl 0553.76028Maz’ya, V. G.; Plamenevskiĭ, B. A.; Stupelis, L. I. 10 1984 The first boundary value problem for classical equations of mathematical physics in domains with piecewise smooth boundaries. II. Zbl 0554.35099Maz’ya, V. G.; Plamenevskij, B. A. 10 1983 Optimal estimates for the gradient of harmonic functions in the multidimensional half-space. Zbl 1221.35111Kresin, Gershon; Maz’ya, Vladimir 10 2010 Asymptotic representation of elastic fields in a multi-structure. Zbl 0846.73009Kozlov, V. A.; Maz’ya, V. G.; Movchan, A. B. 10 1995 Gilbarg-Serrin equation and Lipschitz regularity. Zbl 07460666Maz’ya, Vladimir; McOwen, Robert 1 2022 Sobolev inequalities for the symmetric gradient in arbitrary domains. Zbl 1451.46033Cianchi, Andrea; Maz’ya, Vladimir G. 2 2020 Second-order regularity for parabolic \(p\)-Laplace problems. Zbl 1439.35204Cianchi, Andrea; Maz’ya, Vladimir G. 2 2020 Approximation of solutions to nonstationary Stokes system. Zbl 1435.65160Lanzara, F.; Maz’ya, V.; Schmidt, G. 1 2020 Optimal second-order regularity for the \(p\)-Laplace system. Zbl 1437.35404Cianchi, Andrea; Maz’ya, Vladimir G. 4 2019 Accretivity of the general second order linear differential operator. Zbl 1422.35029Maz’ya, V. G.; Verbitsky, I. E. 2 2019 A fast solution method for time dependent multidimensional Schrödinger equations. Zbl 1453.65054Lanzara, F.; Maz’ya, V.; Schmidt, G. 2 2019 Fast cubature of high dimensional biharmonic potential based on approximate approximations. Zbl 07144083Lanzara, Flavia; Maz’ya, Vladimir; Schmidt, Gunther 1 2019 Solvability criteria for the Neumann \(p\)-Laplacian with irregular data. Zbl 1429.35105Maz’ya, V. 1 2019 The \(L^p\)-dissipativity of certain differential and integral operators. Zbl 1447.47035Cialdea, Alberto; Maz’ya, Vladimir 1 2019 Second-order two-sided estimates in nonlinear elliptic problems. Zbl 1398.35078Cianchi, Andrea; Maz’ya, Vladimir G. 20 2018 The \(L^p\)-dissipativity of first order partial differential operators. Zbl 1394.35133Cialdea, A.; Maz’ya, V. 3 2018 Seventy five (thousand) unsolved problems in analysis and partial differential equations. Zbl 1398.35019Maz’ya, Vladimir 3 2018 Meso-scale approximations of fields around clusters of defects. Zbl 1403.35080Maz’ya, Vladimir G.; Movchan, A. B. 2 2018 Polyharmonic capacity and Wiener test of higher order. Zbl 1411.35056Mayboroda, Svitlana; Maz’ya, Vladimir 2 2018 On eigenfunctions of the Fourier transform. Zbl 1408.42003Lanzara, F.; Maz’ya, V. 1 2018 Accurate computation of the high dimensional diffraction potential over hyper-rectangles. Zbl 07121691Lanzara, Flavia; Maz’ya, Vladimir; Schmidt, Gunther 1 2018 Boundary behavior of solutions to elliptic equations in general domains. Zbl 1409.35073Maz’ya, Vladimir G. 1 2018 Sharp estimates for the gradient of the generalized Poisson integral for a half-space. Zbl 1392.31008Kresin, Gershon; Maz’ya, Vladimir 1 2018 Quasilinear elliptic problems with general growth and merely integrable, or measure, data. Zbl 1373.35113Cianchi, Andrea; Maz’ya, Vladimir 20 2017 Note on a nonstandard eigenfunction of the planar Fourier transform. Zbl 1386.46039Lanzara, F.; Maz’ya, V. 3 2017 Quasilinear elliptic equations on noncompact Riemannian manifolds. Zbl 1382.35110Barletta, Giuseppina; Cianchi, Andrea; Maz’ya, Vladimir 2 2017 Mesoscale models and approximate solutions for solids containing clouds of voids. Zbl 1381.35176Maz’ya, V. G.; Movchan, A. B.; Nieves, M. J. 6 2016 Sobolev inequalities in arbitrary domains. Zbl 1346.46022Cianchi, Andrea; Maz’ya, Vladimir 5 2016 Approximation of solutions to multidimensional parabolic equations by approximate approximations. Zbl 1348.65061Lanzara, F.; Maz’ya, V.; Schmidt, G. 5 2016 Global gradient estimates in elliptic problems under minimal data and domain regularity. Zbl 1325.35027Cianchi, Andrea; Maz’ya, Vladimir 23 2015 Pointwise inequalities for elliptic boundary value problems. Zbl 1333.35046Luo, G.; Maz’ya, V. G. 1 2015 Criteria for invariance of convex sets for linear parabolic systems. Zbl 1346.35093Kresin, Gershon; Maz’ya, Vladimir 1 2015 Global boundedness of the gradient for a class of nonlinear elliptic systems. Zbl 1298.35070Cianchi, Andrea; Maz’ya, Vladimir G. 63 2014 Gradient regularity via rearrangements for \(p\)-Laplacian type elliptic boundary value problems. Zbl 1288.35128Cianchi, Andrea; Maz’ya, Vladimir 47 2014 Fast cubature of volume potentials over rectangular domains by approximate approximations. Zbl 1294.65034Lanzara, F.; Maz’ya, V.; Schmidt, G. 9 2014 Semi-bounded differential operators, contractive semigroups and beyond. Zbl 1317.47002Cialdea, Alberto; Maz’ya, Vladimir 8 2014 Regularity of solutions to the polyharmonic equation in general domains. Zbl 1292.35114Mayboroda, Svitlana; Maz’ya, Vladimir 8 2014 The integrability of negative powers of the solution to the Saint Venant problem. Zbl 1297.35088Carbery, Anthony; Maz’ya, Vladimir; Mitrea, Marius; Rule, David J. 6 2014 Optimal pointwise stimates for derivatives of solutions to Laplace, Lamé, and Stokes equations. Zbl 1302.31008Kresin, G.; Maz’ya, V. G. 5 2014 Mesoscale approximations for solutions of the Dirichlet problem in a perforated elastic body. Zbl 1311.74021Maz’ya, V. G.; Movchan, A. B.; Nieves, M. J. 4 2014 \(L^{1,p}\)-coercitivity and estimates of the Green function of the Neumann problem in a convex domain. Zbl 1302.35146Alkhutov, Yu.; Maz’ya, V. G. 3 2014 Notes on Hölder regularity of a boundary point with respect to an elliptic operator of second order. Zbl 1304.35174Maz’ya, V. G. 1 2014 Green’s kernels and meso-scale approximations in perforated domains. Zbl 1273.35007Maz’ya, Vladimir; Movchan, Alexander; Nieves, Michael 28 2013 Quasilinear elliptic equations and weighted Sobolev-Poincaré inequalities with distributional weights. Zbl 1331.35148Jaye, Benjamin J.; Maz’ya, Vladimir G.; Verbitsky, Igor E. 12 2013 Solvability of a boundary integral equation on a polyhedron. Zbl 1273.35087Grachev, N. V.; Maz’ya, V. G. 9 2013 \(L^p\)-dissipativity of the Lamé operator. Zbl 1307.74017Cialdea, A.; Maz’ya, V. 5 2013 Bounds for eigenfunctions of the Laplacian on noncompact Riemannian manifolds. Zbl 1280.58018Cianchi, Andrea; Maz’ya, Vladimir G. 5 2013 Computation of volume potentials over bounded domains via approximate approximations. Zbl 1273.65040Lanzara, F.; Maz’ya, V. G.; Schmidt, G. 2 2013 Estimate for a solution to the water wave problem in the presence of a submerged body. Zbl 1311.76014Kamotski, I.; Mazýa, V. 1 2013 Solvability of boundary singular integral operators of elasticity on surfaces with conic points. Zbl 1273.35086Grachev, N. V.; Maz’ya, V. G. 1 2013 Second order differentiability for solutions of elliptic equations in the plane. Zbl 1273.35108McOwen, R.; Maz’ya, V. G. 1 2013 Existence and regularity of positive solutions of elliptic equations of Schrödinger type. Zbl 1307.35099Jaye, B. J.; Maz’ya, V. G.; Verbitsky, I. E. 14 2012 Maximum principles and sharp constants for solutions of elliptic and parabolic systems. Zbl 1255.35001Kresin, Gershon; Maz’ya, Vladimir 13 2012 Invertibility of boundary integral operators of elasticity on surfaces with conic points. Zbl 1381.45016Grachev, N. V.; Maz’ya, V. G. 8 2012 Sharp real-part theorems for high order derivatives. Zbl 1277.30016Kresin, G.; Maz’ya, V. 7 2012 Estimates for kernels of inverse operators of integral equations of elasticity on surfaces with conic points. Zbl 1381.45039Grachev, N. V.; Maz’ya, V. G. 6 2012 Uniform asymptotics of Green’s kernels in perforated domains and meso-scale approximations. Zbl 1234.35264Maz’ya, V.; Movchan, A. 5 2012 On the linear water wave problem in the presence of a critically submerged body. Zbl 06138497Kamotski, I. V.; Maz’ya, V. G. 5 2012 Boundedness of solutions to the Schrödinger equation under Neumann boundary conditions. Zbl 1259.35072Cianchi, Andrea; Maz’ya, Vladimir 3 2012 Representations and estimates for inverse operators in the harmonic potential theory for polyhedra. Zbl 1252.35128Maz’ya, Vladimir 3 2012 Sobolev spaces. With applications to elliptic partial differential equations. Transl. from the Russian by T. O. Shaposhnikova. 2nd revised and augmented ed. Zbl 1217.46002Maz’ya, Vladimir G. 100 2011 Global Lipschitz regularity for a class of quasilinear elliptic equations. Zbl 1220.35065Cianchi, Andrea; Maz’ya, Vladimir G. 83 2011 On the regularity of domains satisfying a uniform hour-glass condition and a sharp version of the Hopf-Oleinik boundary point principle. Zbl 1290.35046Alvarado, R.; Brigham, D.; Maz’ya, V.; Mitrea, M.; Ziadé, E. 16 2011 Mesoscale asymptotic approximations to solutions of mixed boundary value problems in perforated domains. Zbl 1223.35293Maz’ya, V.; Movchan, A.; Nieves, M. 12 2011 Differentiability of solutions to second-order elliptic equations via dynamical systems. Zbl 1225.35070Maz’ya, Vladimir; McOwen, Robert 11 2011 On the fast computation of high dimensional volume potentials. Zbl 1213.65046Lanzara, Flavia; Maz’ya, Vladimir; Schmidt, Gunther 11 2011 Sharp real-part theorems in the upper halfplane and similar estimates for harmonic functions. Zbl 1291.30150Kresin, G.; Maz’ya, V. 9 2011 On the third boundary value problem in domains with cusps. Zbl 1282.35148Kamotski, I. V.; Maz’ya, V. G. 7 2011 Accurate cubature of volume potentials over high-dimensional half-spaces. Zbl 1223.65017Lanzara, F.; Maz’ya, V. G.; Schmidt, G. 6 2011 On the discreteness of the spectrum of the Laplacian on noncompact Riemannian manifolds. Zbl 1269.58011Cianchi, Andrea; Maz’ya, Vladimir 3 2011 Brezis-Gallouet-Wainger type inequality for irregular domains. Zbl 1232.46034Maz’ya, Vladimir; Shaposhnikova, Tatyana 3 2011 Recent progress in elliptic equations and systems of arbitrary order with rough coefficients in Lipschitz domains. Zbl 1263.35097Maz’ya, Vladimir; Shaposhnikova, Tatyana 3 2011 Boundary characteristic point regularity for semilinear reaction-diffusion equations: towards an ODE criterion. Zbl 1286.35123Galaktionov, V. A.; Maz’ya, V. 2 2011 Existence and uniqueness of an energy solution to the Dirichlet problem for the Laplace equation in the exterior of a multi-dimensional paraboloid. Zbl 1219.35073Maz’ya, V.; Poborchi, S. 1 2011 Elliptic equations in polyhedral domains. Zbl 1196.35005Maz’ya, Vladimir; Rossmann, Jürgen 59 2010 The Dirichlet problem in Lipschitz domains for higher order elliptic systems with rough coefficients. Zbl 1199.35080Maz’ya, Vladimir.; Mitrea, Marius; Shaposhnikova, Tatyana 32 2010 Asymptotic treatment of perforated domains without homogenization. Zbl 1185.35060Maz’ya, V.; Movchan, A. 23 2010 Well-posed elliptic Neumann problems involving irregular data and domains. Zbl 1200.35105Alvino, Angelo; Cianchi, Andrea; Maz’ya, Vladimir G.; Mercaldo, Anna 18 2010 Sharp pointwise estimates for directional derivatives of harmonic functions in a multidimensional ball. Zbl 1222.31003Kresin, G.; Maz’ya, V. 12 2010 Optimal estimates for the gradient of harmonic functions in the multidimensional half-space. Zbl 1221.35111Kresin, Gershon; Maz’ya, Vladimir 10 2010 Estimates for differential operators of vecor analysis involving \(L^{1}\)-norm. Zbl 1187.42011Mazýa, Vladimir 10 2010 Green’s kernels for transmission problems in bodies with small inclusions. Zbl 1223.35123Maz’ya, V.; Movchan, A.; Nieves, M. 5 2010 \(L^p\) solvability of the stationary Stokes problem in domains with conical singularity in any dimension. Zbl 1298.35049Dindoš, M.; Maz’ya, V. 3 2010 On solvability of boundary integral equations of potential theory for a multidimensional cusp domain. Zbl 1402.35102Maz’ya, V.; Poborchi, S. 2 2010 On the fundamental solution of an elliptic equation in nondivergence form. Zbl 1213.35022Maz’ya, Vladimir; McOwen, Robert 2 2010 Wiener type regularity of a boundary point for the 3D Lamé system. Zbl 1185.35281Luo, Guo; Maz’ya, Vladimir G. 1 2010 Pathological solutions to elliptic problems in divergence form with continuous coefficients. Zbl 1198.35055Jin, Tianling; Maz’ya, Vladimir; Van Schaftingen, Jean 41 2009 Mixed boundary value problems for the stationary Navier-Stokes system in polyhedral domains. Zbl 1253.76019Maz’ya, V.; Rossmann, J. 24 2009 Theory of Sobolev multipliers. With applications to differential and integral operators. Zbl 1157.46001Maz’ya, Vladimir G.; Shaposhnikova, Tatyana O. 24 2009 The inhomogeneous Dirichlet problem for the Stokes system in Lipschitz domains with unit normal close to VMO. Zbl 1271.47072Maz’ya, V.; Mitrea, M.; Shaposhnikova, T. 21 2009 Boundedness of the gradient of a solution and Wiener test of order one for the biharmonic equation. Zbl 1166.35014Mayboroda, Svitlana; Maz’ya, Vladimir 17 2009 A collection of sharp dilation invariant integral inequalities for differentiable functions. Zbl 1161.26302Maz’ya, Vladimir; Shaposhnikova, Tatyana 12 2009 Boundedness of the gradient of a solution to the Neumann-Laplace problem in a convex domain. Zbl 1167.35013Maz’ya, Vladimir 9 2009 On the boundedness of first derivatives for solutions to the Neumann-Laplace problem in a convex domain. Zbl 1205.35069Maz’ya, Vladimir 9 2009 Conductor inequalities and criteria for Sobolev-Lorentz two-weight inequalities. Zbl 1165.26009Costea, Serban; Maz’ya, Vladimir 8 2009 Pointwise estimates for the polyharmonic Green function in general domains. Zbl 1193.35032Mayboroda, Svitlana; Maz’ya, Vladimir 6 2009 Uniform asymptotics of Green’s kernels for mixed and Neumann problems in domains with small holes and inclusions. Zbl 1171.35027Maz’ya, Vladimir; Movchan, Alexander 4 2009 Unique solvability of the integral equation for harmonic simple layer potential on the boundary of a domain with a peak. Zbl 1186.31004Maz’ya, V. G.; Poborchii, S. V. 3 2009 Gauge optimization and spectral properties of magnetic Schrödinger operators. Zbl 1185.35044Kondratiev, Vladimir; Maz’ya, Vladimir; Shubin, Mikhail 3 2009 A maximum modulus estimate for solutions of the Navier-Stokes system in domains of polyhedral type. Zbl 1170.35077Maz’ya, V.; Rossmann, J. 3 2009 On the solvability of the Neumann problem in domains with peak. Zbl 1206.35091Maz’ya, V. G.; Poborchiĭ, S. V. 2 2009 Integral and isocapacitary inequalities. Zbl 1190.26010Maz’ya, Vladimir 1 2009 On representation of the solution of the Neumann problem in a domain with peak by the harmonic simple layer potential. Zbl 1179.35109Maz’ya, V. G.; Poborchii, S. V. 1 2009 Uniqueness of the solution to an inverse thermoelasticity problem. Zbl 1224.74030Kozlov, V. A.; Maz’ya, V. G.; Fomin, A. V. 1 2009 ...and 313 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,617 Authors 148 Nazarov, Sergeĭ Aleksandrovich 141 Maz’ya, Vladimir Gilelevich 42 Cianchi, Andrea 30 Kozlov, Vladimir A. 29 Nicaise, Serge 26 Mingione, Giuseppe 25 Medková, Dagmar 22 Mitrea, Marius 22 Xiao, Jie 21 Verbitsky, Igor E. 19 Kresin, Gershon I. 19 Schmidt, Gunther 18 Khludnev, Aleksandr Mikhaĭlovich 18 Movchan, Alexander B. 17 Dauge, Monique 17 Pileckas, Konstantin 17 Rehberg, Joachim 16 Kuusi, Tuomo 16 Lanzara, Flavia 16 Mitrea, Irina 15 Mayboroda, Svitlana 15 Pick, Luboš 15 Rossmann, Jürgen 15 Taskinen, Jari 15 Tertikas, Achilles 15 Wendland, Wolfgang L. 14 Li, Hengguang 14 Musolino, Paolo 14 Valdinoci, Enrico 13 Byun, Sun-Sig 13 Filippas, Stathis 13 Kuznetsov, Nikolai Germanovich 13 Nistor, Victor 13 Salimov, Ruslan Radikovich 12 Lu, Guozhen 12 Nguyen Cong Phuc 12 Sändig, Anna-Margarete 12 Yao, Fengping 11 Argatov, Ivan I. 11 Beneš, Michal 11 Kweon, Jae Ryong 11 Vodop’yanov, Sergeĭ Konstantinovich 10 Abdellaoui, Boumediene 10 Boyd, John Philip 10 Costabel, Martin 10 Diening, Lars 10 Dipierro, Serena 10 Dong, Hongjie 10 Haller-Dintelmann, Robert 10 Lanza de Cristoforis, Massimo 10 Lesnic, Daniel 10 Marin, Liviu 10 Mercaldo, Anna 10 Milman, Mario Marcos 10 Nasibullin, Ramil Gaisa’evich 10 Stepanov, Vladimir Dmitrievich 9 Avkhadiev, Farit Gabidinovich 9 Borisov, Denis Ivanovich 9 Brasco, Lorenzo 9 Brenner, Susanne Cecelia 9 Fiscella, Alessio 9 Mitrea, Dorina 9 Motygin, Oleg Valer’evich 9 Ortega Aramburu, Joaquín María 9 Panasenko, Grigory P. 9 Plamenevskiĭ, Boris Alekseevich 9 Pucci, Patrizia 9 Sickel, Winfried 9 Sini, Mourad 9 Solonnikov, Vsevolod Alekseevich 9 Tarkhanov, Nikolai N. 9 Vähäkangas, Antti V. 9 Van Schaftingen, Jean 9 Yang, Dachun 9 Yang, Qiaohua 8 Apel, Thomas 8 Baderko, Elena A. 8 Cascante, Carme 8 Chechkin, Gregory Aleksandrovich 8 Chesnel, Lucas 8 Chlebicka, Iwona 8 Dalla Riva, Matteo 8 Gala, Sadek 8 Kohr, Mirela 8 Koskela, Pekka 8 Lubuma, Jean Mbaro-Saman 8 Nguyen Manh Hung 8 Schwab, Christoph 8 Spector, Daniel E. 8 Squassina, Marco 8 Sweers, Guido H. 8 Ushakova, Elena Pavlovna 7 Alberico, Angela 7 Barton, Ariel 7 Bousquet, Pierre 7 Cardone, Giuseppe 7 Dahlke, Stephan 7 Elliott, Lionel 7 Gol’dshtein, Vladimir Mikhailovich 7 Hamamoto, Naoki ...and 2,517 more Authors all top 5 Cited in 351 Serials 136 Journal of Mathematical Analysis and Applications 122 Journal of Functional Analysis 106 Nonlinear Analysis. 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Modélisation Mathématique et Analyse Numérique 7 Computational Methods and Function Theory ...and 251 more Serials all top 5 Cited in 53 Fields 1,744 Partial differential equations (35-XX) 493 Functional analysis (46-XX) 345 Numerical analysis (65-XX) 296 Fluid mechanics (76-XX) 285 Mechanics of deformable solids (74-XX) 254 Operator theory (47-XX) 238 Potential theory (31-XX) 216 Real functions (26-XX) 167 Calculus of variations and optimal control; optimization (49-XX) 134 Harmonic analysis on Euclidean spaces (42-XX) 103 Functions of a complex variable (30-XX) 103 Global analysis, analysis on manifolds (58-XX) 87 Integral equations (45-XX) 61 Approximations and expansions (41-XX) 60 Differential geometry (53-XX) 54 Optics, electromagnetic theory (78-XX) 47 Quantum theory (81-XX) 40 Ordinary differential equations (34-XX) 35 Probability theory and stochastic processes (60-XX) 33 Measure and integration (28-XX) 25 Convex and discrete geometry (52-XX) 25 Statistical mechanics, structure of matter (82-XX) 22 Several complex variables and analytic spaces (32-XX) 20 Classical thermodynamics, heat transfer (80-XX) 19 Biology and other natural sciences (92-XX) 19 Systems theory; control (93-XX) 15 Dynamical systems and ergodic theory (37-XX) 11 History and biography (01-XX) 11 Special functions (33-XX) 11 Difference and functional equations (39-XX) 11 Abstract harmonic analysis (43-XX) 11 Geophysics (86-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Manifolds and cell complexes (57-XX) 6 Statistics (62-XX) 5 Combinatorics (05-XX) 5 Integral transforms, operational calculus (44-XX) 4 Number theory (11-XX) 4 Mechanics of particles and systems (70-XX) 3 Topological groups, Lie groups (22-XX) 3 General topology (54-XX) 3 Computer science (68-XX) 3 Relativity and gravitational theory (83-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Geometry (51-XX) 1 \(K\)-theory (19-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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