## Pure and Applied Analysis

 Short Title: Pure Appl. Anal. Publisher: Mathematical Sciences Publishers (MSP), Berkeley, CA ISSN: 2578-5893; 2578-5885/e Online: https://msp.org/paa Comments: Indexed cover-to-cover
 Documents Indexed: 72 Publications (since 2019) References Indexed: 23 Publications with 724 References.
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### Latest Issues

 4, No. 1 (2022) 3, No. 4 (2021) 3, No. 3 (2021) 3, No. 2 (2021) 3, No. 1 (2021) 2, No. 4 (2020) 2, No. 3 (2020) 2, No. 2 (2020) 2, No. 1 (2020) 1, No. 4 (2019) 1, No. 3 (2019) 1, No. 2 (2019) 1, No. 1 (2019)
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### Authors

 2 Galkowski, Jeffrey 2 Lieb, Elliott H. 2 Seiringer, Robert 2 Vasy, András 2 Vodev, Georgi 1 Albano, Paolo 1 Almog, Yaniv 1 Andersson, Fredrik K. 1 Arendt, Wolfgang 1 Arnaiz, Víctor 1 Arsénio, Diogo 1 Barnett, Alex H. 1 Baskin, Dean 1 Boßmann, Lea 1 Bouin, Emeric 1 Bru, Jean-Bernard 1 Bungert, Leon 1 Burger, Martin 1 Burq, Nicolas 1 Cacciafesta, Federico 1 Cao, Lingling 1 Carlen, Eric Anders 1 Cekić, Mihajlo 1 Charve, Frédéric 1 Chen, Yuanlong 1 Cipolloni, Giorgio 1 Coburn, Lewis A. 1 Crin-Barat, Timothée 1 Danchin, Raphaël 1 de Hoop, Maarten V. 1 De Siqueira Pedra, Walter 1 Dereziński, Jan 1 Dipierro, Serena 1 Dolbeault, Jean 1 Drouot, Alexis 1 Dyatlov, Semyon 1 Epstein, Charles Lawrence 1 Erdős, László 1 Evans, Josephine 1 Fliss, Sonia 1 Gajic, Dejan 1 Gao, Yuan 1 Gassot, Louise 1 Gerard, Patrick 1 Glass, Olivier 1 Greengard, Leslie F. 1 Griffin, Jory 1 Hansen, Sönke 1 Hartmann, Luiz 1 Hauer, Daniel 1 Helffer, Bernard 1 Hitrik, Michael 1 Hoskins, Jeremy G. 1 Hunter, John K. 1 Ilmavirta, Joonas 1 Ingremeau, Maxime 1 Jauslin, Ian 1 Jeong, Seonghyeon 1 Jiang, Shidong 1 Joly, Patrick 1 Kameoka, Kentaro 1 Kang, Kyungkeun 1 Karakhanyan, Aram L. 1 Katsevich, Anya E. 1 Kesler, Robert M. 1 Khan, Gabriel J. H. 1 Kim, Young-Heon 1 Klopp, Frédéric 1 Knüpfer, Hans 1 Koene, Erik F. M. 1 Kolumban, Jozsef J. 1 Korolev, Yury M. 1 Krüger, Torben 1 Lacey, Michael T. 1 Lassas, Matti J. 1 Leopold, Nikolai 1 Lerner, Nicolas 1 Lescarret, Vincent 1 Lesch, Matthias 1 Lewin, Mathieu 1 Liu, Jianguo 1 Lu, Jianfeng 1 Luk, Jonathan 1 Malik, John 1 Mandel, Rainer 1 Marklof, Jens 1 Marzuola, Jeremy L. 1 Matthes, Daniel 1 Mena, Dario 1 Menegaki, Angeliki 1 Metafune, Giorgio 1 Michel, Laurent 1 Mischler, Stéphane 1 Mitrouskas, David 1 Miura, Hideyuki 1 Mouhot, Clément 1 Mucha, Piotr Bogusław 1 Mughetti, Marco 1 Muratov, Cyrill B. 1 Negro, Luigi ...and 60 more Authors
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### Fields

 59 Partial differential equations (35-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Operator theory (47-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Quantum theory (81-XX) 8 Fluid mechanics (76-XX) 7 Numerical analysis (65-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Probability theory and stochastic processes (60-XX) 4 Mechanics of particles and systems (70-XX) 4 Systems theory; control (93-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of deformable solids (74-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Geophysics (86-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

39 Publications have been cited 137 times in 133 Documents Cited by Year
Hypocoercivity without confinement. Zbl 1448.82035
Bouin, Emeric; Dolbeault, Jean; Mischler, Stéphane; Mouhot, Clément; Schmeiser, Christian
2020
An evolution equation approach to the Klein-Gordon operator on curved spacetime. Zbl 1423.58016
Dereziński, Jan; Siemssen, Daniel
2019
Cusp universality for random matrices. II: The real symmetric case. Zbl 1476.60012
Cipolloni, Giorgio; Erdős, László; Krüger, Torben; Schröder, Dominik
2019
Characterization of edge states in perturbed honeycomb structures. Zbl 1423.35275
Drouot, Alexis
2019
The local density approximation in density functional theory. Zbl 1435.35320
Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert
2020
The interior of dynamical extremal black holes in spherical symmetry. Zbl 1420.35403
Gajic, Dejan; Luk, Jonathan
2019
Microlocal analysis of forced waves. Zbl 1426.35013
Dyatlov, Semyon; Zworski, Maciej
2019
About small eigenvalues of the Witten Laplacian. Zbl 1447.35236
Michel, Laurent
2019
Semiclassical resolvent estimates for bounded potentials. Zbl 1421.35065
Klopp, Frédéric; Vogel, Martin
2019
The quantum Sabine law for resonances in transmission problems. Zbl 1407.35149
Galkowski, Jeffrey
2019
Characterization by observability inequalities of controllability and stabilization properties. Zbl 1431.93011
Trélat, Emmanuel; Wang, Gengsheng; Xu, Yashan
2020
Optimal constants in nontrapping resolvent estimates and applications in numerical analysis. Zbl 1439.35142
Galkowski, Jeffrey; Spence, Euan A.; Wunsch, Jared
2020
Semiclassical resolvent estimates for short-range $$L^\infty$$ potentials. Zbl 1471.35068
Vodev, Georgi
2019
On geometric and analytic mixing scales: comparability and convergence rates for transport problems. Zbl 1427.76085
Zillinger, Christian
2019
The hyperbolic Yang-Mills equation in the caloric gauge: local well-posedness and control of energy-dispersed solutions. Zbl 1446.35150
Oh, Sung-Jin; Tataru, Daniel
2020
The Kähler geometry of certain optimal transport problems. Zbl 1446.49034
Khan, Gabriel; Zhang, Jun
2020
Connecting dots: from local covariance to empirical intrinsic geometry and locally linear embedding. Zbl 1433.62142
Malik, John; Shen, Chao; Wu, Hau-Tieng; Wu, Nan
2019
Emergence of nontrivial minimizers for the three-dimensional Ohta-Kawasaki energy. Zbl 1432.49064
Knüpfer, Hans; Muratov, Cyrill B.; Novaga, Matteo
2020
Sparse bounds for the discrete spherical maximal functions. Zbl 1460.42027
Kesler, Robert; Lacey, Michael T.; Mena, Darío
2020
Stabilization of wave equations on the torus with rough dampings. Zbl 1462.35070
Burq, Nicolas; Gérard, Patrick
2020
Analysis of a simple equation for the ground state energy of the Bose gas. Zbl 1465.35345
Carlen, Eric A.; Jauslin, Ian; Lieb, Elliott H.
2020
Scattering resonances on truncated cones. Zbl 1447.58029
2020
Positivity, complex FIOs, and Toeplitz operators. Zbl 1429.32047
Coburn, Lewis A.; Hitrik, Michael; Sjöstrand, Johannes
2019
Explicit unconditionally stable methods for the heat equation via potential theory. Zbl 1427.65416
Barnett, Alex; Epstein, Charles L.; Greengard, Leslie; Jiang, Shidong; Wang, Jun
2019
Growth of Sobolev norms for coupled lowest Landau level equations. Zbl 1472.35363
Schwinte, Valentin; Thomann, Laurent
2021
Dispersive estimates, blow-up and failure of Strichartz estimates for the Schrödinger equation with slowly decaying initial data. Zbl 1469.35184
Mandel, Rainer
2020
Multidimensional nonlinear geometric optics for transport operators with applications to stable shock formation. Zbl 1426.35159
Speck, Jared
2019
Dispersive estimates for the wave equation on Riemannian manifolds of bounded curvature. Zbl 1410.58011
Chen, Yuanlong; Smith, Hart F.
2019
Quantum transport in a low-density periodic potential: homogenisation via homogeneous flows. Zbl 1433.82011
Griffin, Jory; Marklof, Jens
2019
Maximal $$L^2$$-regularity in nonlinear gradient systems and perturbations of sublinear growth. Zbl 1430.35149
Arendt, Wolfgang; Hauer, Daniel
2020
Semiclassical resolvent estimates for Hölder potentials. Zbl 1471.35108
Vodev, Georgi
2020
Resonances and viscosity limit for the Wigner-von Neumann-type Hamiltonian. Zbl 1471.35106
Kameoka, Kentaro; Nakamura, Shu
2020
A free boundary problem driven by the biharmonic operator. Zbl 1469.31007
Dipierro, Serena; Karakhanyan, Aram; Valdinoci, Enrico
2020
$$L^p$$ estimates for Baouendi-Grushin operators. Zbl 1462.35105
Metafune, Giorgio; Negro, Luigi; Spina, Chiara
2020
A maximum principle for a fourth-order Dirichlet problem on smooth domains. Zbl 1467.35074
Schnieders, Inka; Sweers, Guido
2020
Structural analysis of an $$L$$-infinity variational problem and relations to distance functions. Zbl 1462.35226
Bungert, Leon; Korolev, Yury; Burger, Martin
2020
Local Hölder regularity of solutions to generated Jacobian equations. Zbl 1467.35149
Jeong, Seonghyeon
2021
An energy method for averaging lemmas. Zbl 1478.35062
Arsénio, Diogo; Lerner, Nicolas
2021
Global solutions of a surface quasigeostrophic front equation. Zbl 07483400
Hunter, John K.; Shu, Jingyang; Zhang, Qingtian
2021
Growth of Sobolev norms for coupled lowest Landau level equations. Zbl 1472.35363
Schwinte, Valentin; Thomann, Laurent
2021
Local Hölder regularity of solutions to generated Jacobian equations. Zbl 1467.35149
Jeong, Seonghyeon
2021
An energy method for averaging lemmas. Zbl 1478.35062
Arsénio, Diogo; Lerner, Nicolas
2021
Global solutions of a surface quasigeostrophic front equation. Zbl 07483400
Hunter, John K.; Shu, Jingyang; Zhang, Qingtian
2021
Hypocoercivity without confinement. Zbl 1448.82035
Bouin, Emeric; Dolbeault, Jean; Mischler, Stéphane; Mouhot, Clément; Schmeiser, Christian
2020
The local density approximation in density functional theory. Zbl 1435.35320
Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert
2020
Characterization by observability inequalities of controllability and stabilization properties. Zbl 1431.93011
Trélat, Emmanuel; Wang, Gengsheng; Xu, Yashan
2020
Optimal constants in nontrapping resolvent estimates and applications in numerical analysis. Zbl 1439.35142
Galkowski, Jeffrey; Spence, Euan A.; Wunsch, Jared
2020
The hyperbolic Yang-Mills equation in the caloric gauge: local well-posedness and control of energy-dispersed solutions. Zbl 1446.35150
Oh, Sung-Jin; Tataru, Daniel
2020
The Kähler geometry of certain optimal transport problems. Zbl 1446.49034
Khan, Gabriel; Zhang, Jun
2020
Emergence of nontrivial minimizers for the three-dimensional Ohta-Kawasaki energy. Zbl 1432.49064
Knüpfer, Hans; Muratov, Cyrill B.; Novaga, Matteo
2020
Sparse bounds for the discrete spherical maximal functions. Zbl 1460.42027
Kesler, Robert; Lacey, Michael T.; Mena, Darío
2020
Stabilization of wave equations on the torus with rough dampings. Zbl 1462.35070
Burq, Nicolas; Gérard, Patrick
2020
Analysis of a simple equation for the ground state energy of the Bose gas. Zbl 1465.35345
Carlen, Eric A.; Jauslin, Ian; Lieb, Elliott H.
2020
Scattering resonances on truncated cones. Zbl 1447.58029
2020
Dispersive estimates, blow-up and failure of Strichartz estimates for the Schrödinger equation with slowly decaying initial data. Zbl 1469.35184
Mandel, Rainer
2020
Maximal $$L^2$$-regularity in nonlinear gradient systems and perturbations of sublinear growth. Zbl 1430.35149
Arendt, Wolfgang; Hauer, Daniel
2020
Semiclassical resolvent estimates for Hölder potentials. Zbl 1471.35108
Vodev, Georgi
2020
Resonances and viscosity limit for the Wigner-von Neumann-type Hamiltonian. Zbl 1471.35106
Kameoka, Kentaro; Nakamura, Shu
2020
A free boundary problem driven by the biharmonic operator. Zbl 1469.31007
Dipierro, Serena; Karakhanyan, Aram; Valdinoci, Enrico
2020
$$L^p$$ estimates for Baouendi-Grushin operators. Zbl 1462.35105
Metafune, Giorgio; Negro, Luigi; Spina, Chiara
2020
A maximum principle for a fourth-order Dirichlet problem on smooth domains. Zbl 1467.35074
Schnieders, Inka; Sweers, Guido
2020
Structural analysis of an $$L$$-infinity variational problem and relations to distance functions. Zbl 1462.35226
Bungert, Leon; Korolev, Yury; Burger, Martin
2020
An evolution equation approach to the Klein-Gordon operator on curved spacetime. Zbl 1423.58016
Dereziński, Jan; Siemssen, Daniel
2019
Cusp universality for random matrices. II: The real symmetric case. Zbl 1476.60012
Cipolloni, Giorgio; Erdős, László; Krüger, Torben; Schröder, Dominik
2019
Characterization of edge states in perturbed honeycomb structures. Zbl 1423.35275
Drouot, Alexis
2019
The interior of dynamical extremal black holes in spherical symmetry. Zbl 1420.35403
Gajic, Dejan; Luk, Jonathan
2019
Microlocal analysis of forced waves. Zbl 1426.35013
Dyatlov, Semyon; Zworski, Maciej
2019
About small eigenvalues of the Witten Laplacian. Zbl 1447.35236
Michel, Laurent
2019
Semiclassical resolvent estimates for bounded potentials. Zbl 1421.35065
Klopp, Frédéric; Vogel, Martin
2019
The quantum Sabine law for resonances in transmission problems. Zbl 1407.35149
Galkowski, Jeffrey
2019
Semiclassical resolvent estimates for short-range $$L^\infty$$ potentials. Zbl 1471.35068
Vodev, Georgi
2019
On geometric and analytic mixing scales: comparability and convergence rates for transport problems. Zbl 1427.76085
Zillinger, Christian
2019
Connecting dots: from local covariance to empirical intrinsic geometry and locally linear embedding. Zbl 1433.62142
Malik, John; Shen, Chao; Wu, Hau-Tieng; Wu, Nan
2019
Positivity, complex FIOs, and Toeplitz operators. Zbl 1429.32047
Coburn, Lewis A.; Hitrik, Michael; Sjöstrand, Johannes
2019
Explicit unconditionally stable methods for the heat equation via potential theory. Zbl 1427.65416
Barnett, Alex; Epstein, Charles L.; Greengard, Leslie; Jiang, Shidong; Wang, Jun
2019
Multidimensional nonlinear geometric optics for transport operators with applications to stable shock formation. Zbl 1426.35159
Speck, Jared
2019
Dispersive estimates for the wave equation on Riemannian manifolds of bounded curvature. Zbl 1410.58011
Chen, Yuanlong; Smith, Hart F.
2019
Quantum transport in a low-density periodic potential: homogenisation via homogeneous flows. Zbl 1433.82011
Griffin, Jory; Marklof, Jens
2019
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### Cited by 229 Authors

 6 Erdős, László 5 Spence, Euan A. 4 Dolbeault, Jean 4 Galkowski, Jeffrey 4 Krüger, Torben 4 Schröder, Dominik 4 Vodev, Georgi 4 Weinstein, Michael I. 3 Fefferman, Charles Louis 3 Nectoux, Boris 3 Vasy, András 2 Alt, Johannes 2 Angelopoulos, Yannis 2 Aretakis, Stefanos 2 Bouin, Emeric 2 Carlen, Eric Anders 2 Cipolloni, Giorgio 2 Costa, João Lopes 2 Datchev, Kiril R. 2 Drouot, Alexis 2 Durmus, Alain 2 Gajic, Dejan 2 Girão, Pedro Martins 2 Guillin, Arnaud 2 Han, Rui 2 Jabin, Pierre-Emmanuel 2 Khan, Gabriel J. H. 2 Lacey, Michael T. 2 Lafleche, Laurent 2 Le Peutrec, Dorian 2 Li, Yiting 2 Lu, Jianfeng 2 Marzuola, Jeremy L. 2 Much, Albert 2 Oeckl, Robert 2 Sun, Baoyan 2 Taira, Kouichi 2 Watson, Alexander B. 2 Wu, Hau-Tieng 2 Xu, Yuanyuan 2 Yang, Fan 2 Zhang, Jun 1 Addala, Lanoir 1 Adhikari, Arka 1 Ajanki, Oskari Heikki 1 Alberti, Giovanni 1 Alfonsi, Aurélien 1 Alphonse, Paul 1 Ammari, Habib M. 1 An, Xinliang 1 Andrieu, Christophe 1 Apolinário, Gabriel B. 1 Arora, Sahiba 1 Avramidi, Ivan G. 1 Badra, Mehdi 1 Basti, Giulia 1 Bedrossian, Jacob 1 Bernard, Étienne 1 Blumenthal, Alex 1 Bonicatto, Paolo 1 Bungert, Leon 1 Burq, Nicolas 1 Cao, Lianghao 1 Cenatiempo, Serena 1 Chevillard, Laurent 1 Claeys, Tom 1 Colombo, Maria 1 Coti Zelati, Michele 1 Coyaud, Rafaël 1 Crippa, Gianluca 1 Dang, Nguyen Viet 1 Danielli, Donatella 1 Dappiaggi, Claudio 1 Dereziński, Jan 1 Di Gesù, Giacomo 1 Dimassi, Mouez 1 Doll, Moritz 1 Drago, Nicolò 1 Dunson, David Brian 1 Ehrlacher, Virginie 1 Escapil-Inchauspé, Paul 1 Fathi, Max 1 Feliu-Fabà, Jordi 1 Fellner, Klemens 1 Finster, Felix 1 Frank, Rupert L. 1 Gallagher, Isabelle 1 Ganesh, Mahadevan 1 Georgescu, Vladimir 1 Ghattas, Omar N. 1 Gilboa, Guy 1 Glück, Jochen 1 Gontier, David 1 Goto, Yukimi 1 Gottschalk, Hanno 1 Graf, Olivier 1 Graham, Ivan G. 1 Griffin, Jory 1 Hait-Fraenkel, Ester 1 Haj Ali, Alaa Akram ...and 129 more Authors
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### Cited in 68 Journals

 16 Communications in Mathematical Physics 8 Annales Henri Poincaré 5 Probability Theory and Related Fields 4 Journal of Statistical Physics 4 Journal of Differential Equations 4 Communications in Partial Differential Equations 4 SIAM Journal on Mathematical Analysis 4 Journal of Spectral Theory 3 Journal of Mathematical Physics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 SIAM Journal on Scientific Computing 3 Journal de l’École Polytechnique – Mathématiques 3 Séminaire Laurent Schwartz. EDP et Applications 2 Archive for Rational Mechanics and Analysis 2 Letters in Mathematical Physics 2 Advances in Mathematics 2 Journal of Functional Analysis 2 Memoirs of the American Mathematical Society 2 Numerische Mathematik 2 Proceedings of the American Mathematical Society 2 Journal of Scientific Computing 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Calculus of Variations and Partial Differential Equations 2 Annales Henri Lebesgue 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 The Annals of Probability 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Monatshefte für Mathematik 1 SIAM Journal on Control and Optimization 1 Systems & Control Letters 1 Journal of the American Mathematical Society 1 The Annals of Applied Probability 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Applied and Computational Harmonic Analysis 1 St. Petersburg Mathematical Journal 1 Advances in Computational Mathematics 1 Electronic Journal of Probability 1 Bernoulli 1 The Journal of Fourier Analysis and Applications 1 Documenta Mathematica 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical Physics, Analysis and Geometry 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 Journal of Hyperbolic Differential Equations 1 Foundations of Physics 1 Oberwolfach Reports 1 SIAM Journal on Imaging Sciences 1 Analysis & PDE 1 Analysis and Mathematical Physics 1 Bulletin of Mathematical Sciences 1 Forum of Mathematics, Sigma 1 Concrete Operators 1 SIAM/ASA Journal on Uncertainty Quantification 1 EMS Surveys in Mathematical Sciences 1 Pure and Applied Analysis 1 SIAM Journal on Mathematics of Data Science 1 Ars Inveniendi Analytica
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### Cited in 35 Fields

 86 Partial differential equations (35-XX) 27 Quantum theory (81-XX) 26 Operator theory (47-XX) 25 Statistical mechanics, structure of matter (82-XX) 20 Probability theory and stochastic processes (60-XX) 17 Global analysis, analysis on manifolds (58-XX) 12 Relativity and gravitational theory (83-XX) 11 Numerical analysis (65-XX) 9 Differential geometry (53-XX) 9 Systems theory; control (93-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 6 Functional analysis (46-XX) 5 Ordinary differential equations (34-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Fluid mechanics (76-XX) 3 Number theory (11-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Computer science (68-XX) 2 $$K$$-theory (19-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)