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zbMATH — the first resource for mathematics

Analysis & PDE

Short Title: Anal. PDE
Publisher: Mathematical Sciences Publishers (MSP), Berkeley, CA
ISSN: 2157-5045; 1948-206X/e
Online: http://msp.org/apde
Comments: Indexed cover-to-cover
Documents Indexed: 583 Publications (since 2008)
References Indexed: 222 Publications with 6,628 References.
all top 5

Authors

8 Tao, Terence
6 Masmoudi, Nader
5 Uhlmann, Gunther Alberto
5 Wei, Juncheng
4 Bernicot, Frédéric
4 Hassell, Andrew
4 Ibrahim, Slim
4 Iosevich, Alex
4 Rivière, Tristan
4 Salo, Mikko
4 Sawyer, Eric T.
4 Smulevici, Jacques
4 Terracini, Susanna
4 Wick, Brett D.
3 Andrews, Ben
3 Azzam, Jonas
3 Bejenaru, Ioan
3 Colin de Verdière, Yves
3 Dalibard, Anne-Laure
3 Dodson, Benjamin G.
3 Figalli, Alessio
3 Guillarmou, Colin
3 Hezari, Hamid
3 Hmidi, Taoufik
3 Hofmann, Steve
3 Ivanisvili, Paata
3 Killip, Rowan
3 Langford, Mat
3 Lassas, Matti
3 Martell, José María (Chema)
3 Mastyło, Mieczysław
3 Mitrea, Marius
3 Mondino, Andrea
3 Mooney, Connor
3 Mourgoglou, Mihalis
3 Murphy, Jason
3 Nakanishi, Kenji
3 Noris, Benedetta
3 Novaga, Matteo
3 Nyström, Kaj
3 Perry, Peter A.
3 Rubinstein, Yanir A.
3 Shao, Shuanglin
3 Sjöstrand, Johannes
3 Sogge, Christopher D.
3 Speck, Jared
3 Staffilani, Gigliola
3 Stefanov, Plamen D.
3 Tice, Ian
3 Valdinoci, Enrico
3 Vasy, András
3 Visan, Monica
2 Alarcón, Antonio
2 Anantharaman, Nalini
2 Antonucci, Clara
2 Armstrong, Scott N.
2 Auscher, Pascal
2 Bennett, Jonathan M.
2 Berman, Robert J.
2 Blair, Matthew D.
2 Bove, Antonio
2 Breit, Dominic
2 Chambolle, Antonin
2 Chen, Shibing
2 Chen, Xuwen
2 Choi, Sunhi
2 Chung, Francis J.
2 Combes, Jean-Michel
2 Conde-Alonso, Jose M.
2 Cordoba, Diego
2 Culiuc, Amalia
2 Da Lio, Francesca
2 Darvas, Tamás
2 De Philippis, Guido
2 Defant, Andreas
2 Del Pino, Manuel A.
2 Dencker, Nils
2 Diening, Lars
2 Dindoš, Martin
2 Dinew, Sławomir
2 Dipierro, Serena
2 Donninger, Roland
2 Dyatlov, Semyon
2 Forstnerič, Franc
2 Frank, Rupert L.
2 Gallay, Thierry
2 Gérard-Varet, David
2 Germain, Pierre
2 Germinet, François
2 Ghoul, Tej-Eddine
2 Giacomini, Alessandro
2 Gobbino, Massimo
2 Goudon, Thierry
2 Grébert, Benoît
2 Greenleaf, Allan
2 Guo, Shaoming
2 Guo, Yan
2 Han, Rui
2 Hani, Zaher
2 Haus, Emanuele
...and 816 more Authors
all top 5

Fields

428 Partial differential equations (35-XX)
90 Global analysis, analysis on manifolds (58-XX)
76 Harmonic analysis on Euclidean spaces (42-XX)
55 Operator theory (47-XX)
55 Differential geometry (53-XX)
43 Functional analysis (46-XX)
42 Fluid mechanics (76-XX)
36 Calculus of variations and optimal control; optimization (49-XX)
34 Dynamical systems and ergodic theory (37-XX)
34 Quantum theory (81-XX)
27 Several complex variables and analytic spaces (32-XX)
21 Probability theory and stochastic processes (60-XX)
17 Measure and integration (28-XX)
16 Statistical mechanics, structure of matter (82-XX)
16 Relativity and gravitational theory (83-XX)
14 Real functions (26-XX)
14 Potential theory (31-XX)
11 Number theory (11-XX)
10 Functions of a complex variable (30-XX)
8 Convex and discrete geometry (52-XX)
8 Mechanics of deformable solids (74-XX)
7 Combinatorics (05-XX)
7 Systems theory; control (93-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Group theory and generalizations (20-XX)
6 Integral transforms, operational calculus (44-XX)
5 Algebraic geometry (14-XX)
5 Topological groups, Lie groups (22-XX)
5 Abstract harmonic analysis (43-XX)
5 Numerical analysis (65-XX)
5 Mechanics of particles and systems (70-XX)
5 Optics, electromagnetic theory (78-XX)
4 Special functions (33-XX)
3 Astronomy and astrophysics (85-XX)
3 Biology and other natural sciences (92-XX)
2 Ordinary differential equations (34-XX)
2 Approximations and expansions (41-XX)
2 Geophysics (86-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Difference and functional equations (39-XX)
1 Integral equations (45-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

Citations contained in zbMATH Open

520 Publications have been cited 5,021 times in 4,139 Documents Cited by Year
Sharp weighted bounds involving \(A_\infty\). Zbl 1283.42032
Hytönen, Tuomas; Pérez, Carlos
103
2013
Uniqueness of ground states for pseudorelativistic Hartree equations. Zbl 1183.35266
Lenzmann, Enno
79
2009
Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum. Zbl 1366.35215
Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico
73
2015
Scattering threshold for the focusing nonlinear Klein-Gordon equation. Zbl 1270.35132
Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji
63
2011
Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation. Zbl 1190.35177
Tao, Terence
60
2009
The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher. Zbl 1171.35111
Killip, Rowan; Visan, Monica; Zhang, Xiaoyi
54
2008
Nonlocal self-improving properties. Zbl 1317.35284
Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick
53
2015
Fractional conformal Laplacians and fractional Yamabe problems. Zbl 1287.35039
del Mar González, María; Qing, Jie
50
2013
Sharp weighted norm estimates beyond Calderón-Zygmund theory. Zbl 1344.42009
Bernicot, Frédéric; Frey, Dorothee; Petermichl, Stefanie
44
2016
Local well-posedness of the viscous surface wave problem without surface tension. Zbl 1273.35209
Guo, Yan; Tice, Ian
44
2013
A priori estimates for complex Hessian equations. Zbl 1297.32020
Dinew, Sławomir; Kołodziej, Sławomir
43
2014
Decay of viscous surface waves without surface tension in horizontally infinite domains. Zbl 1292.35206
Guo, Yan; Tice, Ian
42
2013
Local and nonlocal boundary conditions for \(\mu\)-transmission and fractional elliptic pseudodifferential operators. Zbl 1317.35310
Grubb, Gerd
40
2014
Three-term commutator estimates and the regularity of \(^{1}/_{2}\)-harmonic maps into spheres. Zbl 1241.35035
Da Lio, Francesca; Rivière, Tristan
40
2011
The Calderón problem with partial data on manifolds and applications. Zbl 1335.35301
Kenig, Carlos; Salo, Mikko
39
2013
Well-posedness of Lagrangian flows and continuity equations in metric measure spaces. Zbl 1357.49058
Ambrosio, Luigi; Trevisan, Dario
37
2014
Regularity for parabolic integro-differential equations with very irregular kernels. Zbl 1349.47079
Schwab, Russell W.; Silvestre, Luis
37
2016
The Cauchy problem for the Benjamin-Ono equation in \(L^{2}\) revisited. Zbl 1273.35096
Molinet, Luc; Pilod, Didier
36
2012
On the Bogolyubov-Ruzsa lemma. Zbl 1320.11009
Sanders, Tom
36
2012
Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation. Zbl 1329.35207
Hillairet, Matthieu; Raphaël, Pierre
33
2012
Effective integrable dynamics for a certain nonlinear wave equation. Zbl 1268.35013
Gérard, Patrick; Grellier, Sandrine
32
2012
Reducibility of the quantum harmonic oscillator in \(d\)-dimensions with polynomial time-dependent perturbation. Zbl 1386.35059
Bambusi, Dario; Grébert, Benoît; Maspero, Alberto; Robert, Didier
31
2018
Semilinear wave equations on asymptotically de Sitter, Kerr-de Sitter and Minkowski spacetimes. Zbl 1336.35244
Hintz, Peter; Vasy, András
31
2015
On the global well-posedness of energy-critical Schrödinger equations in curved spaces. Zbl 1264.35215
Ionescu, Alexandru D.; Pausader, Benoit; Staffilani, Gigliola
30
2012
A sparse domination principle for rough singular integrals. Zbl 1392.42011
Conde-Alonso, José M.; Culiuc, Amalia; Di Plinio, Francesco; Ou, Yumeng
29
2017
Boundary estimates in elliptic homogenization. Zbl 1368.35028
Shen, Zhongwei
29
2017
Quasimodes and a lower bound on the uniform energy decay rate for Kerr-AdS spacetimes. Zbl 1300.83030
Holzegel, Gustav; Smulevici, Jacques
28
2014
Vanishing viscosity plane parallel channel flow and related singular perturbation problems. Zbl 1160.35329
Mazzucato, Anna; Taylor, Michael
28
2008
Sharp polynomial decay rates for the damped wave equation on the torus. Zbl 1295.35075
Anantharaman, Nalini; Léautaud, Matthieu
28
2014
Ground states of large bosonic systems: the Gross-Pitaevskii limit revisited. Zbl 1342.35284
Phan Thánh Nam; Rougerie, Nicolas; Seiringer, Robert
27
2016
Classification of blowup limits for \(\mathrm{SU}(3)\) singular Toda systems. Zbl 1322.35038
Lin, Chang-Shou; Wei, Jun-Cheng; Zhang, Lei
27
2015
Ricci flow on surfaces with conic singularities. Zbl 1322.53070
Mazzeo, Rafe; Rubinstein, Yanir A.; Sesum, Natasa
27
2015
Bulk universality and clock spacing of zeros for ergodic Jacobi matrices with absolutely continuous spectrum. Zbl 1225.26031
Avila, Artur; Last, Yoram; Simon, Barry
26
2010
On a maximum principle and its application to the logarithmically critical Boussinesq system. Zbl 1264.35173
Hmidi, Taoufik
26
2011
Two-dimensional nonlinear Schrödinger equation with random radial data. Zbl 1264.35212
Deng, Yu
26
2012
Characterisation of the energy of Gaussian beams on Lorentzian manifolds: with applications to black hole spacetimes. Zbl 1343.35229
Sbierski, Jan
26
2015
Existence and orbital stability of the ground states with prescribed mass for the \(L^2\)-critical and supercritical NLS on bounded domains. Zbl 1314.35168
Noris, Benedetta; Tavares, Hugo; Verzini, Gianmaria
26
2014
The Hartree equation for infinitely many particles. II: Dispersion and scattering in 2D. Zbl 1301.35122
Lewin, Mathieu; Sabin, Julien
25
2014
Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026
Han, Yongsheng; Lu, Guozhen; Sawyer, Eric
25
2014
Decay of linear waves on higher-dimensional Schwarzschild black holes. Zbl 1326.35382
Schlue, Volker
25
2013
Restriction and spectral multiplier theorems on asymptotically conic manifolds. Zbl 1293.35187
Guillarmou, Colin; Hassell, Andrew; Sikora, Adam
25
2013
A vector field method for relativistic transport equations with applications. Zbl 1373.35046
Fajman, David; Joudioux, Jérémie; Smulevici, Jacques
24
2017
Gross-Pitaevskii dynamics for Bose-Einstein condensates. Zbl 1414.35184
Brennecke, Christian; Schlein, Benjamin
24
2019
Global well-posedness of slightly supercritical active scalar equations. Zbl 1294.35092
Dabkowski, Michael; Kiselev, Alexander; Silvestre, Luis; Vicol, Vlad
24
2014
The geodesic X-ray transform with fold caustics. Zbl 1271.53070
Stefanov, Plamen; Uhlmann, Gunther
24
2012
Existence of extremals for a Fourier restriction inequality. Zbl 1273.42009
Christ, Michael; Shao, Shuanglin
24
2012
Global well-posedness on the derivative nonlinear Schrödinger equation. Zbl 1326.35361
Wu, Yifei
24
2015
The Calderón problem for the fractional Schrödinger equation. Zbl 1439.35530
Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther
23
2020
A characterization of two weight norm inequalities for maximal singular integrals with one doubling measure. Zbl 1279.42016
Lacey, Michael; Sawyer, Eric T.; Uriarte-Tuero, Ignacio
23
2012
Global well-posedness for the nonlinear Schrödinger equation with derivative in energy space. Zbl 1298.35207
Wu, Yifei
22
2013
The wave equation on asymptotically anti de Sitter spaces. Zbl 1277.35014
Vasy, András
22
2012
Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system. Zbl 1309.76053
Barbato, David; Morandin, Francesco; Romito, Marco
22
2014
An inverse source problem in optical molecular imaging. Zbl 1171.35126
Stefanov, Plamen; Uhlmann, Gunther
21
2008
A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment. Zbl 1405.35206
Figalli, Alessio; Kang, Moon-Jin
21
2019
Bilinear forms on the Dirichlet space. Zbl 1262.30066
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric; Wick, Brett D.
21
2010
The corona theorem for the Drury-Arveson Hardy space and other holomorphic Besov-Sobolev spaces on the unit ball in \(\mathbb C^{n}\). Zbl 1264.32004
Costea, Şerban; Sawyer, Eric T.; Wick, Brett D.
21
2011
A vector field method approach to improved decay for solutions to the wave equation on a slowly rotating Kerr black hole. Zbl 1267.83065
Luk, Jonathan
21
2012
Global well-posedness and scattering for the defocusing quintic NLS in three dimensions. Zbl 1264.35219
Killip, Rowan; Vişan, Monica
21
2012
Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems. Zbl 1347.35117
Bulíček, Miroslav; Diening, Lars; Schwarzacher, Sebastian
20
2016
Heat-flow monotonicity of Strichartz norms. Zbl 1190.35043
Bennett, Jonathan; Bez, Neal; Carbery, Anthony; Hundertmark, Dirk
20
2009
Instability theory of the Navier-Stokes-Poisson equations. Zbl 1284.35317
Jang, Juhi; Tice, Ian
20
2013
Regularity of weak solutions of a complex Monge-Ampère equation. Zbl 1264.32019
Székelyhidi, Gábor; Tosatti, Valentino
20
2011
Nonradial type II blow-up for the energy-supercritical semilinear heat equation. Zbl 1372.35153
Collot, Charles
20
2017
Pseudoparabolic regularization of forward-backward parabolic equations: a logarithmic nonlinearity. Zbl 1284.35121
Bertsch, Michiel; Smarrazzo, Flavia; Tesei, Alberto
20
2013
Stability for strongly coupled critical elliptic systems in a fully inhomogeneous medium. Zbl 1208.58025
Druet, Olivier; Hebey, Emmanuel
19
2009
On the unconditional uniqueness of solutions to the infinite radial Chern-Simons-Schrödinger hierarchy. Zbl 1307.35273
Chen, Xuwen; Smith, Paul
19
2014
Rigidity of minimizers in nonlocal phase transitions. Zbl 1391.35145
Savin, Ovidiu
19
2018
Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue. Zbl 1282.35099
Andrews, Ben; Clutterbuck, Julie
19
2013
Multiple vector-valued inequalities via the helicoidal method. Zbl 1361.42005
Benea, Cristina; Muscalu, Camil
19
2016
Stochastic homogenization of viscous Hamilton-Jacobi equations and applications. Zbl 1320.35033
Armstrong, Scott N.; Tran, Hung V.
19
2014
\(L^p\) estimates for the Hilbert transforms along a one-variable vector field. Zbl 1285.42014
Bateman, Michael; Thiele, Christoph
19
2013
Porous media: The Muskat problem in three dimensions. Zbl 1273.35221
Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco
18
2013
Poisson statistics for eigenvalues of continuum random Schrödinger operators. Zbl 1227.82034
Combes, Jean-Michel; Germinet, François; Klein, Abel
18
2010
A natural lower bound for the size of nodal sets. Zbl 1329.35224
Hezari, Hamid; Sogge, Christopher D.
18
2012
Geometric control condition for the wave equation with a time-dependent observation domain. Zbl 1391.35254
Le Rousseau, Jérôme; Lebeau, Gilles; Terpolilli, Peppino; Trélat, Emmanuel
18
2017
Dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations: mass transfer in systems with solitons and degenerate neutral modes. Zbl 1175.35136
Gang, Zhou; Weinstein, Michael I.
17
2008
An improved lower bound on the size of Kakeya sets over finite fields. Zbl 1335.42017
Saraf, Shubhangi; Sudan, Madhu
17
2008
A second order estimate for general complex Hessian equations. Zbl 1353.32024
Phong, Duong; Picard, Sebastien; Zhang, Xiangwen
17
2016
A geometric tangential approach to sharp regularity for degenerate evolution equations. Zbl 1295.35296
Teixeira, Eduardo V.; Urbano, José Miguel
17
2014
Embeddings of infinitely connected planar domains into \(\mathbb C^2\). Zbl 1277.32009
Forstnerič, Franc; Wold, Erlend Fornæss
17
2013
The inverse conjecture for the Gowers norm over finite fields via the correspondence principle. Zbl 1252.11012
Tao, Terence; Ziegler, Tamar
17
2010
Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients. Zbl 1351.35014
Nadin, Grégoire; Rossi, Luca
17
2015
The weak-\(A_\infty\) property of harmonic and \(p\)-harmonic measures implies uniform rectifiability. Zbl 1369.31006
Hofmann, Steve; Le, Phi; Martell, José María; Nyström, Kaj
17
2017
A topological join construction and the Toda system on compact surfaces of arbitrary genus. Zbl 1336.35152
Jevnikar, Aleks; Kallel, Sadok; Malchiodi, Andrea
17
2015
A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus. Zbl 1284.35067
Faou, Erwan; Grébert, Benoît
17
2013
Noncommutative variations on Laplace’s equation. Zbl 1159.58005
Rosenberg, Jonathan
16
2008
Sharp global estimates for local and nonlocal porous medium-type equations in bounded domains. Zbl 1443.35067
Bonforte, Matteo; Figalli, Alessio; Vázquez, Juan Luis
16
2018
The Muskat problem in two dimensions: equivalence of formulations, well-posedness, and regularity results. Zbl 1402.35319
Matioc, Bogdan-Vasile
16
2019
Bilinear Hilbert transforms along curves, I: The monomial case. Zbl 1275.42022
Li, Xiaochun
16
2013
Growth of Sobolev norms for the quintic NLS on \(\mathbb T^2\). Zbl 1322.35126
Haus, Emanuele; Procesi, Michela
16
2015
Focusing quantum many-body dynamics. II: The rigorous derivation of the 1D focusing cubic nonlinear Schrödinger equation from 3D. Zbl 1368.35245
Chen, Xuwen; Holmer, Justin
16
2017
The Fuglede conjecture holds in \(\mathbb{Z}_p\times \mathbb{Z}_p\). Zbl 1361.05014
Iosevich, Alexander; Mayeli, Azita; Pakianathan, Jonathan
16
2017
The global stability of the Minkowski spacetime solution to the Einstein-nonlinear system in wave coordinates. Zbl 1298.35225
Speck, Jared
15
2014
Scale-free unique continuation principle for spectral projectors, eigenvalue-lifting and Wegner estimates for random Schrödinger operators. Zbl 1383.35068
Nakić, Ivica; Täufer, Matthias; Tautenhahn, Martin; Veselić, Ivan
15
2018
A complete study of the lack of compactness and existence results of a fractional Nirenberg equation via a flatness hypothesis. I. Zbl 1366.35211
Abdelhedi, Wael; Chtioui, Hichem; Hajaiej, Hichem
15
2016
Stabilization for the semilinear wave equation with geometric control condition. Zbl 1329.35062
Joly, Romain; Laurent, Camille
15
2013
Polynomials with no zeros on the bidisk. Zbl 1226.42019
Knese, Greg
15
2010
Non-Weyl resonance asymptotics for quantum graphs. Zbl 1268.34056
Davies, E. Brian; Pushnitski, Alexander
15
2011
Existence theorems of the fractional Yamabe problem. Zbl 1377.53056
Kim, Seunghyeok; Musso, Monica; Wei, Juncheng
15
2018
On small energy stabilization in the NLS with a trapping potential. Zbl 1326.35335
Cuccagna, Scipio; Maeda, Masaya
15
2015
Analysis of the linear sampling method for imaging penetrable obstacles in the time domain. Zbl 1467.35343
Cakoni, Fioralba; Monk, Peter; Selgas, Virginia
2
2021
Variations of a class of Monge-Ampère-type functionals and their applications. Zbl 07365579
Chen, Haodi; Chen, Shibing; Li, Qi-Rui
1
2021
\(L^2\)-boundedness of gradients of single-layer potentials and uniform rectifiability. Zbl 07365580
Prat, Laura; Puliatti, Carmelo; Tolsa, Xavier
1
2021
Local and global estimates for hyperbolic equations in Besov-Lipschitz and Triebel-Lizorkin spaces. Zbl 1467.35373
Israelsson, Anders; Rodríguez-López, Salvador; Staubach, Wolfgang
1
2021
The Calderón problem for the fractional Schrödinger equation. Zbl 1439.35530
Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther
23
2020
Infinite-time blow-up for the 3-dimensional energy-critical heat equation. Zbl 1435.35081
del Pino, Manuel; Musso, Monica; Wei, Juncheng
11
2020
Regularity estimates for elliptic nonlocal operators. Zbl 1437.35175
Dyda, Bartłomiej; Kassmann, Moritz
9
2020
On the existence of translating solutions of mean curvature flow in slab regions. Zbl 1443.53053
Bourni, Theodora; Langford, Mat; Tinaglia, Giuseppe
8
2020
Regularity results for generalized double phase functionals. Zbl 07271830
Byun, Sun-Sig; Oh, Jehan
6
2020
On the trace operator for functions of bounded \(\mathbb{A} \)-variation. Zbl 1450.46017
Breit, Dominic; Diening, Lars; Gmeineder, Franz
5
2020
New formulas for the Laplacian of distance functions and applications. Zbl 1462.49031
Cavalletti, Fabio; Mondino, Andrea
4
2020
Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds. Zbl 1436.35340
Beltran, David; Hickman, Jonathan; Sogge, Christopher D.
4
2020
Sharp Strichartz inequalities for fractional and higher-order Schrödinger equations. Zbl 1435.35015
Brocchi, Gianmarco; Oliveira e Silva, Diogo; Quilodrán, René
4
2020
A bootstrapping approach to jump inequalities and their applications. Zbl 1437.42023
Mirek, Mariusz; Stein, Elias M.; Zorin-Kranich, Pavel
4
2020
On the sharp upper bound related to the weak Muckenhoupt-Wheeden conjecture. Zbl 1451.42029
Lerner, Andrei K.; Nazarov, Fedor; Ombrosi, Sheldy
4
2020
On the regularity of minimizers for scalar integral functionals with \((p,q)\)-growth. Zbl 1460.49027
Bella, Peter; Schäffner, Mathias
3
2020
On solvability and ill-posedness of the compressible Euler system subject to stochastic forces. Zbl 1435.35289
Breit, Dominic; Feireisl, Eduard; Hofmanová, Martina
3
2020
Uniform Sobolev estimates for Schrödinger operators with scaling-critical potentials and applications. Zbl 1452.35128
Mizutani, Haruya
3
2020
A proof of the instability of AdS for the Einstein-null dust system with an inner mirror. Zbl 1452.83009
Moschidis, Georgios
3
2020
Evanescent ergosurface instability. Zbl 1454.35379
Keir, Joe
3
2020
A vector field method for radiating black hole spacetimes. Zbl 1437.35088
Oliver, Jesús; Sterbenz, Jacob
2
2020
Stable ODE-type blowup for some quasilinear wave equations with derivative-quadratic nonlinearities. Zbl 1439.35094
Speck, Jared
2
2020
A well-posedness result for viscous compressible fluids with only bounded density. Zbl 1434.35046
Danchin, Raphaël; Fanelli, Francesco; Paicu, Marius
2
2020
On the Hölder continuous subsolution problem for the complex Monge-Ampère equation. II. Zbl 1442.32045
Nguyen, Ngoc Cuong
2
2020
Distance graphs and sets of positive upper density in \(\mathbb{R}^d\). Zbl 07190788
Lyall, Neil; Magyar, Ákos
2
2020
Isolated singularities for semilinear elliptic systems with power-law nonlinearity. Zbl 1455.35102
Ghergu, Marius; Kim, Sunghan; Shahgholian, Henrik
2
2020
On the discrete Fuglede and Pompeiu problems. Zbl 07190791
Kiss, Gergely; Malikiosis, Romanos Diogenes; Somlai, Gábor; Vizer, Máté
2
2020
Almost-sure scattering for the radial energy-critical nonlinear wave equation in three dimensions. Zbl 1442.35259
Bringmann, Bjoern
2
2020
Spectral stability of inviscid columnar vortices. Zbl 1454.35267
Gallay, Thierry; Smets, Didier
2
2020
Scattering for defocusing energy subcritical nonlinear wave equations. Zbl 1459.35290
Dodson, Benjamin; Lawrie, Andrew; Mendelson, Dana; Murphy, Jason
1
2020
Nuclear dimension of simple stably projectionless \(C^\ast\)-algebras. Zbl 07324215
Castillejos, Jorge; Evington, Samuel
1
2020
Propagation properties of reaction-diffusion equations in periodic domains. Zbl 1467.35203
Ducasse, Romain
1
2020
Absence of Cartan subalgebras for right-angled Hecke von Neumann algebras. Zbl 1447.46047
Caspers, Martijn
1
2020
Asymptotic expansions of fundamental solutions in parabolic homogenization. Zbl 1437.35039
Geng, Jun; Shen, Zhongwei
1
2020
Optimal constants for a nonlocal approximation of Sobolev norms and total variation. Zbl 1435.26008
Antonucci, Clara; Gobbino, Massimo; Migliorini, Matteo; Picenni, Nicola
1
2020
On the gap between the gamma-limit and the pointwise limit for a nonlocal approximation of the total variation. Zbl 1444.49008
Antonucci, Clara; Gobbino, Massimo; Picenni, Nicola
1
2020
Energy conservation for the compressible Euler and Navier-Stokes equations with vacuum. Zbl 1437.35552
Akramov, Ibrokhimbek; Dębiec, Tomasz; Skipper, Jack; Wiedemann, Emil
1
2020
Convex projective surfaces with compatible Weyl connection are hyperbolic. Zbl 07221197
Mettler, Thomas; Paternain, Gabriel P.
1
2020
Strichartz estimates for the Schrödinger flow on compact Lie groups. Zbl 1445.58010
Zhang, Yunfeng
1
2020
When does a perturbed Moser-Trudinger inequality admit an extremal? Zbl 1452.35009
Thizy, Pierre-Damien
1
2020
Well-posedness of the hydrostatic Navier-Stokes equations. Zbl 1451.35109
Gérard-Varet, David; Masmoudi, Nader; Vicol, Vlad
1
2020
Sharp variation-norm estimates for oscillatory integrals related to Carleson’s theorem. Zbl 1452.42010
Guo, Shaoming; Roos, Joris; Yung, Po-Lam
1
2020
Global existence for the derivative nonlinear Schrödinger equation with arbitrary spectral singularities. Zbl 1451.35186
Jenkins, Robert; Liu, Jiaqi; Perry, Peter; Sulem, Catherine
1
2020
Sharpening the triangle inequality: envelopes between \(L^2\) and \(L^p\) spaces. Zbl 1451.42022
Ivanisvili, Paata; Mooney, Connor
1
2020
Boundary value problems for second-order elliptic operators with complex coefficients. Zbl 1458.35153
Dindoš, Martin; Pipher, Jill
1
2020
Gross-Pitaevskii dynamics for Bose-Einstein condensates. Zbl 1414.35184
Brennecke, Christian; Schlein, Benjamin
24
2019
A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment. Zbl 1405.35206
Figalli, Alessio; Kang, Moon-Jin
21
2019
The Muskat problem in two dimensions: equivalence of formulations, well-posedness, and regularity results. Zbl 1402.35319
Matioc, Bogdan-Vasile
16
2019
A unified flow approach to smooth, even \(L_p\)-Minkowski problems. Zbl 1401.53048
Bryan, Paul; Ivaki, Mohammad N.; Scheuer, Julian
13
2019
Classification of positive singular solutions to a nonlinear biharmonic equation with critical exponent. Zbl 1421.35150
Frank, Rupert L.; König, Tobias
12
2019
Long time behavior of the master equation in mean field game theory. Zbl 1428.35607
Cardaliaguet, Pierre; Porretta, Alessio
11
2019
Global well-posedness for the two-dimensional Muskat problem with slope less than 1. Zbl 1403.35127
Cameron, Stephen
11
2019
Monotonicity and local uniqueness for the Helmholtz equation. Zbl 1423.35443
Harrach, Bastian; Pohjola, Valter; Salo, Mikko
10
2019
Dimensional crossover with a continuum of critical exponents for NLS on doubly periodic metric graphs. Zbl 1414.35202
Adami, Riccardo; Dovetta, Simone; Serra, Enrico; Tilli, Paolo
10
2019
On the dimension and smoothness of radial projections. Zbl 1405.28011
Orponen, Tuomas
10
2019
Solutions of the 4-species quadratic reaction-diffusion system are bounded and \(C^\infty\)-smooth, in any space dimension. Zbl 1423.35164
Caputo, M. Cristina; Goudon, Thierry; Vasseur, Alexis F.
9
2019
Sparse bounds for the discrete cubic Hilbert transform. Zbl 1446.42001
Culiuc, Amalia; Kesler, Robert; Lacey, Michael T.
9
2019
Two-dimensional gravity water waves with constant vorticity. I: Cubic lifespan. With appendices by Mihaela Ifrim and Daniel Tataru. Zbl 1403.35238
Ifrim, Mihaela; Tataru, Daniel
9
2019
Complex interpolation and Calderón-Mityagin couples of Morrey spaces. Zbl 1435.46018
Mastyło, Mieczysław; Sawano, Yoshihiro
7
2019
Unstable normalized standing waves for the space periodic NLS. Zbl 1405.35191
Ackermann, Nils; Weth, Tobias
6
2019
Boundary behavior of solutions to the parabolic \(p\)-Laplace equation. Zbl 1394.35211
Avelin, Benny; Kuusi, Tuomo; Nyström, Kaj
5
2019
Coupled Kähler-Ricci solitons on toric Fano manifolds. Zbl 07143410
Hultgren, Jakob
5
2019
On the cost of observability in small times for the one-dimensional heat equation. Zbl 1417.35051
Dardé, Jérémi; Ervedoza, Sylvain
5
2019
Commutators of multiparameter flag singular integrals and applications. Zbl 1405.42041
Duong, Xuan Thinh; Li, Ji; Ou, Yumeng; Pipher, Jill; Wick, Brett D.
5
2019
Global geometry and \(C^1\) convex extensions of 1-jets. Zbl 1403.26009
Azagra, Daniel; Mudarra, Carlos
5
2019
Square function estimates, the BMO Dirichlet problem, and absolute continuity of harmonic measure on lower-dimensional sets. Zbl 1432.35074
Mayboroda, Svitlana; Zhao, Zihui
4
2019
Discretely self-similar solutions to the Navier-Stokes equations with data in \(L_{\text{loc}}^2\) satisfying the local energy inequality. Zbl 1431.35100
Bradshaw, Zachary; Tsai, Tai-Peng
4
2019
Alexandrov’s theorem revisited. Zbl 1418.35205
Delgadino, Matias Gonzalo; Maggi, Francesco
4
2019
A viscosity approach to the Dirichlet problem for degenerate complex Hessian-type equations. Zbl 1403.35101
Dinew, Sławomir; Do, Hoang-Son; Tô, Tat Dat
4
2019
Concentration of ground states in stationary mean-field games systems. Zbl 1404.35155
Cesaroni, Annalisa; Cirant, Marco
4
2019
Generalized crystalline evolutions as limits of flows with smooth anisotropies. Zbl 1403.53055
Chambolle, Antonin; Morini, Massimiliano; Novaga, Matteo; Ponsiglione, Marcello
4
2019
On the stability of type II blowup for the 1-corotational energy-supercritical harmonic heat flow. Zbl 1397.35129
Ghoul, Tej-eddine; Ibrahim, Slim; Nguyen, Van Tien
3
2019
Tangent measures of elliptic measure and applications. Zbl 07143406
Azzam, Jonas; Mourgoglou, Mihalis
3
2019
On the Luzin \(N\)-property and the uncertainty principle for Sobolev mappings. Zbl 1406.26006
Ferone, Adele; Korobkov, Mikhail V.; Roviello, Alba
3
2019
Scale-invariant Fourier restriction to a hyperbolic surface. Zbl 1405.42028
Stovall, Betsy
3
2019
Resolvent estimates for spacetimes bounded by Killing horizons. Zbl 06974522
Gannot, Oran
3
2019
Interpolation by conformal minimal surfaces and directed holomorphic curves. Zbl 1402.53005
Alarcón, Antonio; Castro-Infantes, Ildefonso
3
2019
The BMO-Dirichlet problem for elliptic systems in the upper half-space and quantitative characterizations of VMO. Zbl 1408.35029
Martell, José María; Mitrea, Dorina; Mitrea, Irina; Mitrea, Marius
3
2019
On asymptotic dynamics for \(L^2\) critical generalized KdV equations with a saturated perturbation. Zbl 1398.35199
Lan, Yang
2
2019
Zeros of repeated derivatives of random polynomials. Zbl 1432.60012
Feng, Renjie; Yao, Dong
2
2019
Rokhlin dimension: absorption of model actions. Zbl 1427.46047
Szabó, Gábor
2
2019
Fracture with healing: a first step towards a new view of cavitation. Zbl 1402.74092
Francfort, Gilles; Giacomini, Alessandro; Lopez-Pamies, Oscar
2
2019
On the maximal rank problem for the complex homogeneous Monge-Ampère equation. Zbl 1412.32029
Ross, Julius; Witt Nyström, David
2
2019
Convergence of the Kähler-Ricci iteration. Zbl 1404.32043
Darvas, Tamás; Rubinstein, Yanir A.
2
2019
Global weak solutions of the Teichmüller harmonic map flow into general targets. Zbl 1404.53006
Rupflin, Melanie; Topping, Peter M.
2
2019
Absolute continuity and \({\alpha}\)-numbers on the real line. Zbl 1403.28003
Orponen, Tuomas
2
2019
Nonexistence of Wente’s \(L^\infty\) estimate for the Neumann problem. Zbl 1405.35023
Hirsch, Jonas
2
2019
On a boundary value problem for conically deformed thin elastic sheets. Zbl 1397.49058
Olbermann, Heiner
1
2019
Spacelike radial graphs of prescribed mean curvature in the Lorentz-Minkowski space. Zbl 1430.53008
Bonheure, Denis; Iacopetti, Alessandro
1
2019
Steady three-dimensional rotational flows : an approach via two stream functions and Nash-Moser iteration. Zbl 1406.35244
Buffoni, Boris; Wahlén, Erik
1
2019
On the existence and stability of blowup for wave maps into a negatively curved target. Zbl 1411.35204
Donninger, Roland; Glogić, Irfan
1
2019
General Clark model for finite-rank perturbations. Zbl 1404.42035
Liaw, Constanze; Treil, Sergei
1
2019
Quantum dynamical bounds for ergodic potentials with underlying dynamics of zero topological entropy. Zbl 06991221
Han, Rui; Jitomirskaya, Svetlana
1
2019
Global well-posedness and scattering for the radial, defocusing, cubic wave equation with initial data in a critical Besov space. Zbl 1403.35145
Dodson, Benjamin
1
2019
Reducibility of the quantum harmonic oscillator in \(d\)-dimensions with polynomial time-dependent perturbation. Zbl 1386.35059
Bambusi, Dario; Grébert, Benoît; Maspero, Alberto; Robert, Didier
31
2018
Rigidity of minimizers in nonlocal phase transitions. Zbl 1391.35145
Savin, Ovidiu
19
2018
Sharp global estimates for local and nonlocal porous medium-type equations in bounded domains. Zbl 1443.35067
Bonforte, Matteo; Figalli, Alessio; Vázquez, Juan Luis
16
2018
Scale-free unique continuation principle for spectral projectors, eigenvalue-lifting and Wegner estimates for random Schrödinger operators. Zbl 1383.35068
Nakić, Ivica; Täufer, Matthias; Tautenhahn, Martin; Veselić, Ivan
15
2018
Existence theorems of the fractional Yamabe problem. Zbl 1377.53056
Kim, Seunghyeok; Musso, Monica; Wei, Juncheng
15
2018
Blow-up criteria for the Navier-Stokes equations in non-endpoint critical Besov spaces. Zbl 1392.35202
Albritton, Dallas
12
2018
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Cited by 3,921 Authors

32 Wei, Juncheng
21 Miao, Changxing
20 Zheng, Jiqiang
19 Li, Kangwei
17 Muñoz, Claudio
17 Schikorra, Armin
17 Uhlmann, Gunther Alberto
16 Ambrosio, Vincenzo
16 Lacey, Michael T.
16 Tice, Ian
15 Kenig, Carlos Eduardo
15 Raphael, Pierre
15 Rivera-Ríos, Israel P.
14 Krieger, Joachim
14 Schlein, Benjamin
14 Valdinoci, Enrico
14 Vasy, András
14 Wu, Jiahong
13 Dipierro, Serena
13 Donninger, Roland
13 Dyatlov, Semyon
13 Martell, José María (Chema)
13 Sire, Yannick
13 Tzvetkov, Nikolay
13 Yamazaki, Kazuo
13 Zworski, Maciej
12 Frank, Rupert L.
12 González, María del Mar
12 Hofmann, Steve
12 Jiang, Fei
12 Lassas, Matti
12 Merle, Frank
12 Oh, Tadahiro
12 Zhang, Junyong
11 Alarcón, Antonio
11 Aretakis, Stefanos
11 Cuccagna, Scipio
11 Galkowski, Jeffrey
11 Germain, Pierre
11 Guo, Shaoming
11 Mayboroda, Svitlana
11 Nakanishi, Kenji
11 Oksanen, Lauri
11 Ponce, Gustavo
11 Serfaty, Sylvia
11 Soave, Nicola
11 Tao, Terence
11 Tesei, Alberto
11 Visciglia, Nicola
11 Wick, Brett D.
11 Yang, Wen
10 Angelopoulos, Yannis
10 Choi, Woocheol
10 Dodson, Benjamin G.
10 Dolbeault, Jean
10 Duong, Xuan Thinh
10 Forstnerič, Franc
10 Gajic, Dejan
10 Guillarmou, Colin
10 Hani, Zaher
10 Hytönen, Tuomas P.
10 Killip, Rowan
10 Kim, Seunghyeok
10 Kuusi, Tuomo
10 Lu, Guozhen
10 Mourgoglou, Mihalis
10 Mughetti, Marco
10 Murphy, Jason
10 Procesi, Michela
10 Salo, Mikko
10 Seiringer, Robert
10 Sikora, Adam S.
10 Smarrazzo, Flavia
10 Visan, Monica
10 Xu, Guixiang
10 Zhang, Zhifei
10 Zhao, Lifeng
9 Bove, Antonio
9 Chtioui, Hichem
9 Da Lio, Francesca
9 Figalli, Alessio
9 Hassell, Andrew
9 Haus, Emanuele
9 Holzegel, Gustav
9 Hong, Younghun
9 Iosevich, Alex
9 Jiang, Song
9 Lee, Sanghyuk
9 Lerner, Andrei K.
9 Lin, Chang-Shou
9 Luk, Jonathan
9 Martel, Yvan
9 Maspero, Alberto
9 Monard, François
9 Montalto, Riccardo
9 Musso, Monica
9 Niu, Weisheng
9 Oliveira e Silva, Diogo
9 Ombrosi, Sheldy Javier
9 Palatucci, Giampiero
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Cited in 361 Journals

229 Journal of Differential Equations
176 Journal of Functional Analysis
155 Calculus of Variations and Partial Differential Equations
152 Communications in Mathematical Physics
123 Advances in Mathematics
114 SIAM Journal on Mathematical Analysis
112 Archive for Rational Mechanics and Analysis
112 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
100 The Journal of Geometric Analysis
99 Transactions of the American Mathematical Society
92 Journal of Mathematical Analysis and Applications
86 Journal of Mathematical Physics
83 Communications in Partial Differential Equations
79 Journal de Mathématiques Pures et Appliquées. Neuvième Série
78 Proceedings of the American Mathematical Society
77 Discrete and Continuous Dynamical Systems
72 Mathematische Annalen
71 Annales Henri Poincaré
57 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
50 Communications on Pure and Applied Analysis
49 Analysis & PDE
42 Nonlinearity
38 Journal d’Analyse Mathématique
38 The Journal of Fourier Analysis and Applications
36 Annals of PDE
35 Inventiones Mathematicae
34 Journal of the European Mathematical Society (JEMS)
31 Mathematische Zeitschrift
31 Revista Matemática Iberoamericana
31 Acta Mathematica Sinica. English Series
30 Communications in Contemporary Mathematics
29 Annales de l’Institut Fourier
29 Inverse Problems and Imaging
27 Duke Mathematical Journal
26 Geometric and Functional Analysis. GAFA
24 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
23 Journal of Evolution Equations
23 Comptes Rendus. Mathématique. Académie des Sciences, Paris
22 Inverse Problems
22 Letters in Mathematical Physics
22 Journal of Spectral Theory
21 Potential Analysis
20 Journal für die Reine und Angewandte Mathematik
20 Journal of Mathematical Fluid Mechanics
18 Annali di Matematica Pura ed Applicata. Serie Quarta
18 Integral Equations and Operator Theory
17 Annals of Mathematics. Second Series
16 Israel Journal of Mathematics
16 Memoirs of the American Mathematical Society
16 Journal of Dynamics and Differential Equations
16 Advanced Nonlinear Studies
15 Communications on Pure and Applied Mathematics
15 Journal of Statistical Physics
15 NoDEA. Nonlinear Differential Equations and Applications
15 Journal of Hyperbolic Differential Equations
15 Complex Variables and Elliptic Equations
15 Science China. Mathematics
14 ZAMP. Zeitschrift für angewandte Mathematik und Physik
14 Nonlinear Analysis. Real World Applications
14 Séminaire Laurent Schwartz. EDP et Applications
13 Applicable Analysis
13 Physica D
13 Journal of the American Mathematical Society
13 Forum of Mathematics, Sigma
13 Advances in Nonlinear Analysis
12 Archiv der Mathematik
12 Applied Mathematics Letters
12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
12 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
12 Journal of Nonlinear Science
11 Indiana University Mathematics Journal
11 Chinese Annals of Mathematics. Series B
11 Journal of the Institute of Mathematics of Jussieu
10 Mathematical Proceedings of the Cambridge Philosophical Society
10 Reviews in Mathematical Physics
10 International Journal of Mathematics
10 Complex Analysis and Operator Theory
10 Discrete and Continuous Dynamical Systems. Series S
9 Mathematical Methods in the Applied Sciences
9 Manuscripta Mathematica
9 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
9 Differential Geometry and its Applications
9 Bulletin of the American Mathematical Society. New Series
9 Selecta Mathematica. New Series
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
8 Journal of the Mathematical Society of Japan
8 Quarterly of Applied Mathematics
8 SIAM Journal on Control and Optimization
8 Acta Applicandae Mathematicae
8 Constructive Approximation
8 Milan Journal of Mathematics
8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
8 Analysis and Mathematical Physics
8 Journal de l’École Polytechnique – Mathématiques
8 Bollettino dell’Unione Matematica Italiana
7 Studia Mathematica
7 Proceedings of the London Mathematical Society. Third Series
7 Probability Theory and Related Fields
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 St. Petersburg Mathematical Journal
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Cited in 61 Fields

2,860 Partial differential equations (35-XX)
504 Harmonic analysis on Euclidean spaces (42-XX)
409 Global analysis, analysis on manifolds (58-XX)
386 Fluid mechanics (76-XX)
383 Differential geometry (53-XX)
375 Operator theory (47-XX)
334 Quantum theory (81-XX)
271 Functional analysis (46-XX)
216 Dynamical systems and ergodic theory (37-XX)
185 Calculus of variations and optimal control; optimization (49-XX)
174 Several complex variables and analytic spaces (32-XX)
160 Statistical mechanics, structure of matter (82-XX)
158 Probability theory and stochastic processes (60-XX)
153 Relativity and gravitational theory (83-XX)
119 Measure and integration (28-XX)
94 Real functions (26-XX)
91 Number theory (11-XX)
85 Systems theory; control (93-XX)
83 Numerical analysis (65-XX)
80 Functions of a complex variable (30-XX)
76 Ordinary differential equations (34-XX)
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63 Integral transforms, operational calculus (44-XX)
58 Optics, electromagnetic theory (78-XX)
56 Biology and other natural sciences (92-XX)
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49 Integral equations (45-XX)
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18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
17 Geometry (51-XX)
17 Manifolds and cell complexes (57-XX)
16 Special functions (33-XX)
13 Computer science (68-XX)
12 General topology (54-XX)
12 Operations research, mathematical programming (90-XX)
11 Difference and functional equations (39-XX)
11 Classical thermodynamics, heat transfer (80-XX)
7 Mathematical logic and foundations (03-XX)
7 Approximations and expansions (41-XX)
7 Algebraic topology (55-XX)
6 Statistics (62-XX)
5 Associative rings and algebras (16-XX)
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4 Order, lattices, ordered algebraic structures (06-XX)
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2 Field theory and polynomials (12-XX)
2 Category theory; homological algebra (18-XX)
1 Commutative algebra (13-XX)
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