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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: Journal; Indexed cover-to-cover
Documents Indexed: 757 Publications (since 2008)
References Indexed: 475 Publications with 14,661 References.
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...and 8 more Volumes
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Authors

8 Tao, Terence
6 Masmoudi, Nader
6 Uhlmann, Gunther Alberto
5 Hofmann, Steve
5 Iosevich, Alex
5 Nyström, Kaj
5 Smulevici, Jacques
5 Wei, Juncheng
4 Azzam, Jonas
4 Bernicot, Frédéric
4 Hassell, Andrew
4 Ibrahim, Slim
4 Ivanisvili, Paata
4 Killip, Rowan
4 Langford, Mat
4 Lassas, Matti J.
4 Mitrea, Marius
4 Mondino, Andrea
4 Rivière, Tristan
4 Salo, Mikko
4 Sawyer, Eric T.
4 Terracini, Susanna
4 Tice, Ian
4 Visan, Monica
4 Wick, Brett Duane
3 Alarcón, Antonio
3 Andrews, Ben
3 Bejenaru, Ioan
3 Colin de Verdière, Yves
3 Cordoba, Diego
3 Dalibard, Anne-Laure
3 Dodson, Benjamin G.
3 Figalli, Alessio
3 Forstnerič, Franc
3 Gallay, Thierry
3 Grébert, Benoît
3 Guillarmou, Colin
3 Hezari, Hamid
3 Hmidi, Taoufik
3 Jevnikar, Aleks Yang Wen
3 Lawrie, Andrew G. W.
3 Martell, José María (Chema)
3 Mastyło, Mieczysław
3 Mitrea, Dorina
3 Mooney, Connor
3 Mourgoglou, Mihalis
3 Murphy, Jason
3 Nakanishi, Kenji
3 Noris, Benedetta
3 Novaga, Matteo
3 Orponen, Tuomas
3 Perry, Peter A.
3 Pramanik, Malabika
3 Prange, Christophe
3 Rougerie, Nicolas
3 Rubinstein, Yanir A.
3 Shao, Shuanglin
3 Sher, David A.
3 Silvestre, Luis E.
3 Sjöstrand, Johannes
3 Sogge, Christopher D.
3 Speck, Jared
3 Staffilani, Gigliola
3 Stefanov, Plamen D.
3 Tataru, Daniel
3 Vaes, Stefaan
3 Valdinoci, Enrico
3 Vasy, András
2 Ambrosio, Luigi
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 Boc Thaler, Luka
2 Bortz, Simon
2 Bourni, Theodora
2 Bove, Antonio
2 Breit, Dominic
2 Burq, Nicolas
2 Canzani, Yaiza
2 Carbery, Anthony
2 Carron, Gilles
2 Cavalletti, Fabio
2 Chambolle, Antonin
2 Chen, Shibing
2 Chen, Xuwen
2 Choi, Sunhi
2 Christiansen, Tanya J.
2 Chung, Francis J.
2 Colombo, Maria
2 Combes, Jean-Michel
2 Conde-Alonso, Jose M.
2 Correggi, Michele
2 Culiuc, Amalia
2 Da Lio, Francesca
2 Darvas, Tamás
2 De Philippis, Guido
...and 1,104 more Authors
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Fields

531 Partial differential equations (35-XX)
107 Global analysis, analysis on manifolds (58-XX)
99 Harmonic analysis on Euclidean spaces (42-XX)
82 Differential geometry (53-XX)
72 Operator theory (47-XX)
64 Functional analysis (46-XX)
61 Fluid mechanics (76-XX)
53 Dynamical systems and ergodic theory (37-XX)
46 Quantum theory (81-XX)
45 Several complex variables and analytic spaces (32-XX)
43 Calculus of variations and optimal control; optimization (49-XX)
28 Probability theory and stochastic processes (60-XX)
27 Measure and integration (28-XX)
23 Statistical mechanics, structure of matter (82-XX)
20 Real functions (26-XX)
20 Relativity and gravitational theory (83-XX)
18 Functions of a complex variable (30-XX)
17 Potential theory (31-XX)
15 Number theory (11-XX)
12 Systems theory; control (93-XX)
11 Mechanics of deformable solids (74-XX)
10 Combinatorics (05-XX)
10 Topological groups, Lie groups (22-XX)
9 Group theory and generalizations (20-XX)
8 Abstract harmonic analysis (43-XX)
8 Integral transforms, operational calculus (44-XX)
8 Convex and discrete geometry (52-XX)
8 Optics, electromagnetic theory (78-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Ordinary differential equations (34-XX)
6 Mechanics of particles and systems (70-XX)
5 Algebraic geometry (14-XX)
5 Special functions (33-XX)
5 Approximations and expansions (41-XX)
5 Numerical analysis (65-XX)
4 Manifolds and cell complexes (57-XX)
3 Astronomy and astrophysics (85-XX)
3 Geophysics (86-XX)
3 Biology and other natural sciences (92-XX)
2 Integral equations (45-XX)
2 Information and communication theory, circuits (94-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 \(K\)-theory (19-XX)
1 Difference and functional equations (39-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Publications by Year

Citations contained in zbMATH Open

681 Publications have been cited 9,308 times in 7,424 Documents Cited by Year
Sharp weighted bounds involving \(A_\infty\). Zbl 1283.42032
Hytönen, Tuomas; Pérez, Carlos
180
2013
Uniqueness of ground states for pseudorelativistic Hartree equations. Zbl 1183.35266
Lenzmann, Enno
125
2009
Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum. Zbl 1366.35215
Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico
89
2015
Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation. Zbl 1190.35177
Tao, Terence
86
2009
Nonlocal self-improving properties. Zbl 1317.35284
Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick
84
2015
Scattering threshold for the focusing nonlinear Klein-Gordon equation. Zbl 1270.35132
Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji
82
2011
A priori estimates for complex Hessian equations. Zbl 1297.32020
Dinew, Sławomir; Kołodziej, Sławomir
81
2014
Sharp weighted norm estimates beyond Calderón-Zygmund theory. Zbl 1344.42009
Bernicot, Frédéric; Frey, Dorothee; Petermichl, Stefanie
75
2016
Fractional conformal Laplacians and fractional Yamabe problems. Zbl 1287.35039
del Mar González, María; Qing, Jie
75
2013
The Calderón problem for the fractional Schrödinger equation. Zbl 1439.35530
Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther
74
2020
The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher. Zbl 1171.35111
Killip, Rowan; Visan, Monica; Zhang, Xiaoyi
68
2008
Decay of viscous surface waves without surface tension in horizontally infinite domains. Zbl 1292.35206
Guo, Yan; Tice, Ian
65
2013
A sparse domination principle for rough singular integrals. Zbl 1392.42011
Conde-Alonso, José M.; Culiuc, Amalia; Di Plinio, Francesco; Ou, Yumeng
64
2017
Three-term commutator estimates and the regularity of \(^{1}/_{2}\)-harmonic maps into spheres. Zbl 1241.35035
Da Lio, Francesca; Rivière, Tristan
62
2011
Local well-posedness of the viscous surface wave problem without surface tension. Zbl 1273.35209
Guo, Yan; Tice, Ian
62
2013
On the Bogolyubov-Ruzsa lemma. Zbl 1320.11009
Sanders, Tom
60
2012
Local and nonlocal boundary conditions for \(\mu\)-transmission and fractional elliptic pseudodifferential operators. Zbl 1317.35310
Grubb, Gerd
59
2014
A vector field method for relativistic transport equations with applications. Zbl 1373.35046
Fajman, David; Joudioux, Jérémie; Smulevici, Jacques
59
2017
The Calderón problem with partial data on manifolds and applications. Zbl 1335.35301
Kenig, Carlos; Salo, Mikko
59
2013
Gross-Pitaevskii dynamics for Bose-Einstein condensates. Zbl 1414.35184
Brennecke, Christian; Schlein, Benjamin
54
2019
The Cauchy problem for the Benjamin-Ono equation in \(L^{2}\) revisited. Zbl 1273.35096
Molinet, Luc; Pilod, Didier
54
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
52
2018
Regularity for parabolic integro-differential equations with very irregular kernels. Zbl 1349.47079
Schwab, Russell W.; Silvestre, Luis
52
2016
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
52
2014
Well-posedness of Lagrangian flows and continuity equations in metric measure spaces. Zbl 1357.49058
Ambrosio, Luigi; Trevisan, Dario
52
2014
Global well-posedness of the MHD equations in a homogeneous magnetic field. Zbl 1368.76077
Wei, Dongyi; Zhang, Zhifei
52
2017
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
51
2012
Semilinear wave equations on asymptotically de Sitter, Kerr-de Sitter and Minkowski spacetimes. Zbl 1336.35244
Hintz, Peter; Vasy, András
51
2015
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
50
2019
Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation. Zbl 1329.35207
Hillairet, Matthieu; Raphaël, Pierre
48
2012
Sharp polynomial decay rates for the damped wave equation on the torus. Zbl 1295.35075
Anantharaman, Nalini; Léautaud, Matthieu
48
2014
Boundary estimates in elliptic homogenization. Zbl 1368.35028
Shen, Zhongwei
48
2017
Ground states of large bosonic systems: the Gross-Pitaevskii limit revisited. Zbl 1342.35284
Phan Thánh Nam; Rougerie, Nicolas; Seiringer, Robert
48
2016
Effective integrable dynamics for a certain nonlinear wave equation. Zbl 1268.35013
Gérard, Patrick; Grellier, Sandrine
47
2012
Regularity results for generalized double phase functionals. Zbl 1477.49057
Byun, Sun-Sig; Oh, Jehan
44
2020
Monotonicity of nonpluripolar products and complex Monge-Ampère equations with prescribed singularity. Zbl 1396.32011
Darvas, Tamás; Di Nezza, Eleonora; Lu, Chinh H.
41
2018
Quasimodes and a lower bound on the uniform energy decay rate for Kerr-AdS spacetimes. Zbl 1300.83030
Holzegel, Gustav; Smulevici, Jacques
41
2014
Characterisation of the energy of Gaussian beams on Lorentzian manifolds: with applications to black hole spacetimes. Zbl 1343.35229
Sbierski, Jan
41
2015
Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026
Han, Yongsheng; Lu, Guozhen; Sawyer, Eric
39
2014
The Muskat problem in two dimensions: equivalence of formulations, well-posedness, and regularity results. Zbl 1402.35319
Matioc, Bogdan-Vasile
39
2019
Vanishing viscosity plane parallel channel flow and related singular perturbation problems. Zbl 1160.35329
Mazzucato, Anna; Taylor, Michael
38
2008
Decay of linear waves on higher-dimensional Schwarzschild black holes. Zbl 1326.35382
Schlue, Volker
38
2013
Restriction and spectral multiplier theorems on asymptotically conic manifolds. Zbl 1293.35187
Guillarmou, Colin; Hassell, Andrew; Sikora, Adam
38
2013
Two-dimensional nonlinear Schrödinger equation with random radial data. Zbl 1264.35212
Deng, Yu
37
2012
Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system. Zbl 1309.76053
Barbato, David; Morandin, Francesco; Romito, Marco
37
2014
Ricci flow on surfaces with conic singularities. Zbl 1322.53070
Mazzeo, Rafe; Rubinstein, Yanir A.; Sesum, Natasa
37
2015
On the global well-posedness of energy-critical Schrödinger equations in curved spaces. Zbl 1264.35215
Ionescu, Alexandru D.; Pausader, Benoit; Staffilani, Gigliola
36
2012
Multiple vector-valued inequalities via the helicoidal method. Zbl 1361.42005
Benea, Cristina; Muscalu, Camil
36
2016
Global well-posedness on the derivative nonlinear Schrödinger equation. Zbl 1326.35361
Wu, Yifei
36
2015
The wave equation on asymptotically anti de Sitter spaces. Zbl 1277.35014
Vasy, András
35
2012
Classification of blowup limits for \(\mathrm{SU}(3)\) singular Toda systems. Zbl 1322.35038
Lin, Chang-Shou; Wei, Jun-Cheng; Zhang, Lei
35
2015
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
35
2017
A unified flow approach to smooth, even \(L_p\)-Minkowski problems. Zbl 1401.53048
Bryan, Paul; Ivaki, Mohammad N.; Scheuer, Julian
35
2019
A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus. Zbl 1284.35067
Faou, Erwan; Grébert, Benoît
35
2013
On the growth of Sobolev norms for NLS on 2- and 3-dimensional manifolds. Zbl 1371.35276
Planchon, Fabrice; Tzvetkov, Nikolay; Visciglia, Nicola
34
2017
Existence of extremals for a Fourier restriction inequality. Zbl 1273.42009
Christ, Michael; Shao, Shuanglin
33
2012
Sharp global estimates for local and nonlocal porous medium-type equations in bounded domains. Zbl 1443.35067
Bonforte, Matteo; Figalli, Alessio; Vázquez, Juan Luis
32
2018
Power spectrum of the geodesic flow on hyperbolic manifolds. Zbl 1371.37056
Dyatlov, Semyon; Faure, Frédéric; Guillarmou, Colin
32
2015
The Hartree equation for infinitely many particles. II: Dispersion and scattering in 2D. Zbl 1301.35122
Lewin, Mathieu; Sabin, Julien
32
2014
The Fuglede conjecture holds in \(\mathbb{Z}_p\times \mathbb{Z}_p\). Zbl 1361.05014
Iosevich, Alexander; Mayeli, Azita; Pakianathan, Jonathan
32
2017
Global well-posedness for the two-dimensional Muskat problem with slope less than 1. Zbl 1403.35127
Cameron, Stephen
32
2019
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
31
2017
On the regularity of minimizers for scalar integral functionals with \((p,q)\)-growth. Zbl 1460.49027
Bella, Peter; Schäffner, Mathias
31
2020
On a maximum principle and its application to the logarithmically critical Boussinesq system. Zbl 1264.35173
Hmidi, Taoufik
30
2011
Weighted little BMO and two-weight inequalities for Journé commutators. Zbl 1395.42064
Holmes, Irina; Petermichl, Stefanie; Wick, Brett D.
30
2018
Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems. Zbl 1347.35117
Bulíček, Miroslav; Diening, Lars; Schwarzacher, Sebastian
30
2016
Nonradial type II blow-up for the energy-supercritical semilinear heat equation. Zbl 1372.35153
Collot, Charles
30
2017
Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients. Zbl 1351.35014
Nadin, Grégoire; Rossi, Luca
30
2015
Global well-posedness of slightly supercritical active scalar equations. Zbl 1294.35092
Dabkowski, Michael; Kiselev, Alexander; Silvestre, Luis; Vicol, Vlad
30
2014
Long time behavior of the master equation in mean field game theory. Zbl 1428.35607
Cardaliaguet, Pierre; Porretta, Alessio
29
2019
Stability for strongly coupled critical elliptic systems in a fully inhomogeneous medium. Zbl 1208.58025
Druet, Olivier; Hebey, Emmanuel
29
2009
Finite chains inside thin subsets of \(\mathbb{R}^d\). Zbl 1342.28006
Bennett, Michael; Iosevich, Alexander; Taylor, Krystal
29
2016
Bulk universality and clock spacing of zeros for ergodic Jacobi matrices with absolutely continuous spectrum. Zbl 1225.26031
Avila, Artur; Last, Yoram; Simon, Barry
29
2010
Fuglede’s spectral set conjecture for convex polytopes. Zbl 1377.42014
Greenfeld, Rachel; Lev, Nir
29
2017
Global well-posedness for the nonlinear Schrödinger equation with derivative in energy space. Zbl 1298.35207
Wu, Yifei
29
2013
Instability theory of the Navier-Stokes-Poisson equations. Zbl 1284.35317
Jang, Juhi; Tice, Ian
29
2013
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.
28
2011
The geodesic X-ray transform with fold caustics. Zbl 1271.53070
Stefanov, Plamen; Uhlmann, Gunther
28
2012
Rigidity of minimizers in nonlocal phase transitions. Zbl 1391.35145
Savin, Ovidiu
28
2018
The stability of the Minkowski space for the Einstein-Vlasov system. Zbl 1476.83007
Fajman, David; Joudioux, Jérémie; Smulevici, Jacques
28
2021
Global well-posedness and scattering for the defocusing quintic NLS in three dimensions. Zbl 1264.35219
Killip, Rowan; Vişan, Monica
27
2012
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
27
2018
Blow-up analysis of a nonlocal Liouville-type equation. Zbl 1323.30007
Da Lio, Francesca; Martinazzi, Luca; Rivière, Tristan
27
2015
A geometric tangential approach to sharp regularity for degenerate evolution equations. Zbl 1295.35296
Teixeira, Eduardo V.; Urbano, José Miguel
27
2014
Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue. Zbl 1282.35099
Andrews, Ben; Clutterbuck, Julie
27
2013
Stabilization for the semilinear wave equation with geometric control condition. Zbl 1329.35062
Joly, Romain; Laurent, Camille
27
2013
Infinite-time blow-up for the 3-dimensional energy-critical heat equation. Zbl 1435.35081
del Pino, Manuel; Musso, Monica; Wei, Juncheng
27
2020
On the dimension and smoothness of radial projections. Zbl 1405.28011
Orponen, Tuomas
27
2019
Regularity estimates for elliptic nonlocal operators. Zbl 1437.35175
Dyda, Bartłomiej; Kassmann, Moritz
27
2020
New formulas for the Laplacian of distance functions and applications. Zbl 1462.49031
Cavalletti, Fabio; Mondino, Andrea
27
2020
The inverse problem for the Dirichlet-to-Neumann map on Lorentzian manifolds. Zbl 1391.35426
Stefanov, Plamen; Yang, Yang
26
2018
Heat-flow monotonicity of Strichartz norms. Zbl 1190.35043
Bennett, Jonathan; Bez, Neal; Carbery, Anthony; Hundertmark, Dirk
26
2009
An inverse source problem in optical molecular imaging. Zbl 1171.35126
Stefanov, Plamen; Uhlmann, Gunther
26
2008
Existence theorems of the fractional Yamabe problem. Zbl 1377.53056
Kim, Seunghyeok; Musso, Monica; Wei, Juncheng
26
2018
Quantized slow blow-up dynamics for the corotational energy-critical harmonic heat flow. Zbl 1327.35196
Raphaël, Pierre; Schweyer, Remi
26
2014
The inverse conjecture for the Gowers norm over finite fields via the correspondence principle. Zbl 1252.11012
Tao, Terence; Ziegler, Tamar
26
2010
Bilinear forms on the Dirichlet space. Zbl 1262.30066
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric; Wick, Brett D.
26
2010
Porous media: The Muskat problem in three dimensions. Zbl 1273.35221
Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco
26
2013
A proof of the instability of AdS for the Einstein-null dust system with an inner mirror. Zbl 1452.83009
Moschidis, Georgios
26
2020
An improved lower bound on the size of Kakeya sets over finite fields. Zbl 1335.42017
Saraf, Shubhangi; Sudan, Madhu
25
2008
Strong ill-posedness for SQG in critical Sobolev spaces. Zbl 07807512
Jeong, In-Jee; Kim, Junha
1
2024
Large-scale regularity for the stationary Navier-Stokes equations over non-Lipschitz boundaries. Zbl 07807513
Higaki, Mitsuo; Prange, Christophe; Zhuge, Jinping
1
2024
On blowup for the supercritical quadratic wave equation. Zbl 07818640
Csobo, Elek; Glogić, Irfan; Schörkhuber, Birgit
1
2024
The Peskin problem with viscosity contrast. Zbl 1518.35547
García-Juárez, Eduardo; Mori, Yoichiro; Strain, Robert M.
5
2023
Disentanglement, multilinear duality and factorisation for nonpositive operators. Zbl 07707617
Carbery, Anthony; Hänninen, Timo S.; Valdimarsson, Stefán Ingi
4
2023
The strong topology of \(\omega \)-plurisubharmonic functions. Zbl 1518.32012
Trusiani, Antonio
4
2023
Volume comparison with respect to scalar curvature. Zbl 1519.53035
Yuan, Wei
3
2023
Some applications of group-theoretic Rips constructions to the classification of von Neumann algebras. Zbl 1526.46039
Chifan, Ionuţ; Das, Sayan; Khan, Krishnendu
3
2023
Quantitative Alexandrov theorem and asymptotic behavior of the volume preserving mean curvature flow. Zbl 1518.35419
Julin, Vesa; Niinikoski, Joonas
3
2023
Solution of the qc Yamabe equation on a 3-Sasakian manifold and the quaternionic Heisenberg group. Zbl 1527.53033
Ivanov, Stefan; Minchev, Ivan; Vassilev, Dimiter
3
2023
Strong semiclassical limits from Hartree and Hartree-Fock to Vlasov-Poisson equations. Zbl 1515.35228
Lafleche, Laurent; Saffirio, Chiara
3
2023
Wandering domains arising from Lavaurs maps with Siegel disks. Zbl 1518.32004
Astorg, Matthieu; Boc Thaler, Luka; Peters, Han
2
2023
Long time existence of Yamabe flow on singular spaces with positive Yamabe constant. Zbl 1518.35427
Lye, Jørgen Olsen; Vertman, Boris
2
2023
Long time solutions for quasilinear Hamiltonian perturbations of Schrödinger and Klein-Gordon equations on tori. Zbl 1526.37082
Feola, Roberto; Grébert, Benoît; Iandoli, Felice
2
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A simple nuclear \(C^{\ast}\)-algebra with an internal asymmetry. Zbl 1527.46036
Hirshberg, Ilan; Phillips, N. Christopher
2
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Generic KAM Hamiltonians are not quantum ergodic. Zbl 1528.37052
Gomes, Seán
1
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Transversal families of nonlinear projections and generalizations of Favard length. Zbl 1527.28002
Bongers, Rosemarie; Taylor, Krystal
1
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Riesz transform and vertical oscillation in the Heisenberg group. Zbl 1527.43007
Fässler, Katrin; Orponen, Tuomas
1
2023
Talagrand’s influence inequality revisited. Zbl 1517.42026
Cordero-Erausquin, Dario; Eskenazis, Alexandros
1
2023
On the well-posedness problem for the derivative nonlinear Schrödinger equation. Zbl 1522.35470
Killip, Rowan; Ntekoume, Maria; Vişan, Monica
1
2023
Exponential integrability in Gauss space. Zbl 07730959
Ivanisvili, Paata; Russell, Ryan
1
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Overdetermined boundary problems with nonconstant Dirichlet and Neumann data. Zbl 1530.35160
Domínguez-Vázquez, Miguel; Enciso, Alberto; Peralta-Salas, Daniel
1
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Perturbed interpolation formulae and applications. Zbl 07785264
Ramos, João P. G.; Sousa, Mateus
1
2023
Sharp pointwise and uniform estimates for \(\bar{\partial} \). Zbl 1517.32054
Dong, Robert Xin; Li, Song-Ying; Treuer, John N.
1
2023
Subelliptic wave equations are never observable. Zbl 07709761
Letrouit, Cyril
1
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Garland’s method with Banach coefficients. Zbl 1521.20115
Oppenheim, Izhar
1
2023
Finite-time blowup for a Navier-Stokes model equation for the self-amplification of strain. Zbl 1525.35194
Miller, Evan
1
2023
The “good” Boussinesq equation: long-time asymptotics. Zbl 07785238
Charlier, Christophe; Lenells, Jonatan; Wang, Deng-Shan
1
2023
Quantitative Obata’s theorem. Zbl 07785239
Cavalletti, Fabio; Mondino, Andrea; Semola, Daniele
1
2023
Ground state properties in the quasiclassical regime. Zbl 07785248
Correggi, Michele; Falconi, Marco; Olivieri, Marco
1
2023
Global well-posedness of Vlasov-Poisson-type systems in bounded domains. Zbl 1530.35312
Cesbron, Ludovic; Iacobelli, Mikaela
1
2023
Optimal rate of condensation for trapped bosons in the Gross-Pitaevskii regime. Zbl 1513.81135
Phan Thành Nam; Napiórkowski, Marcin; Ricaud, Julien; Triay, Arnaud
14
2022
Sharp energy regularity and typicality results for Hölder solutions of incompressible Euler equations. Zbl 1490.35263
De Rosa, Luigi; Tione, Riccardo
11
2022
The 1-dimensional nonlinear Schrödinger equation with a weighted \(L^1\) potential. Zbl 1498.35189
Chen, Gong; Pusateri, Fabio
10
2022
Quantitative inductive estimates for Green’s functions of non-self-adjoint matrices. Zbl 1515.81107
Liu, Wencai
8
2022
An asymptotic expansion of two-bubble wave maps in high equivariance classes. Zbl 1487.35177
Jendrej, Jacek; Lawrie, Andrew
8
2022
Stability and instability in scalar balance laws: fronts and periodic waves. Zbl 1504.35052
Duchêne, Vincent; Rodrigues, Luis Miguel
6
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Fourier decay of self-similar measures and self-similar sets of uniqueness. Zbl 1507.11064
Varjú, Péter P.; Yu, Han
6
2022
The deformed Hermitian Yang-Mills equation on three-folds. Zbl 1504.32066
Pingali, Vamsi Pritham
6
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Reconstruction and stability in Gelfand’s inverse interior spectral problem. Zbl 1487.35439
Bosi, Roberta; Kurylev, Yaroslav; Lassas, Matti
5
2022
A Szemerédi-type theorem for subsets of the unit cube. Zbl 1486.05305
Durcik, Polona; Kovač, Vjekoslav
5
2022
Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains. Zbl 1490.35119
Dupaigne, Louis; Farina, Alberto
5
2022
Nonsingular Bernoulli actions of arbitrary Krieger type. Zbl 1518.37003
Berendschot, Tey; Vaes, Stefaan
4
2022
Existence and regularity estimates for quasilinear equations with measure data: the case \(1 < p \leq (3n-2)/(2n-1)\). Zbl 1512.35304
Nguyen, Quoc-Hung; Phuc, Nguyen Cong
4
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Benjamini-Schramm convergence and spectra of random hyperbolic surfaces of high genus. Zbl 1493.58015
Monk, Laura
4
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Local maximizers of adjoint Fourier restriction estimates for the cone, paraboloid and sphere. Zbl 1497.35017
Gonçalves, Felipe; Negro, Giuseppe
4
2022
Convergence of solutions for some degenerate discounted Hamilton-Jacobi equations. Zbl 1500.35094
Zavidovique, Maxime
3
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Time optimal observability for Grushin Schrödinger equation. Zbl 1501.35337
Burq, Nicolas; Sun, Chenmin
3
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Least gradient problem on annuli. Zbl 1496.35187
Dweik, Samer; Górny, Wojciech
3
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Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures. Zbl 1510.35070
Jevnikar, Aleks; López-Soriano, Rafael; Medina, María; Ruiz, David
3
2022
Noncommutative Furstenberg boundary. Zbl 1501.46058
Kalantar, Mehrdad; Kasprzak, Paweł; Skalski, Adam; Vergnioux, Roland
3
2022
Algebraic approximation and the Mittag-Leffler theorem for minimal surfaces. Zbl 1518.30006
Alarcón, Antonio; López, Francisco J.
3
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Mergelyan approximation theorem for holomorphic Legendrian curves. Zbl 1502.53122
Forstnerič, Franc
3
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Distinguished varieties through the Berger-Coburn-Lebow theorem. Zbl 07511979
Bhattacharyya, Tirthankar; Kumar, Poornendu; Sau, Haripada
3
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Singular perturbation of manifold-valued maps with anisotropic energy. Zbl 1501.35167
Contreras, Andres; Lamy, Xavier
2
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Eigenvalue estimates for Kato-type Ricci curvature conditions. Zbl 1507.53038
Rose, Christian; Wei, Guofang
2
2022
Convergence over fractals for the periodic Schrödinger equation. Zbl 1505.35115
Eceizabarrena, Daniel; Lucà, Renato
2
2022
A Cheeger-Müller theorem for manifolds with wedge singularities. Zbl 1496.58005
Albin, Pierre; Rochon, Frédéric; Sher, David
2
2022
Regular domains and surfaces of constant Gaussian curvature in \(3\)-dimensional affine space. Zbl 1498.53009
Nie, Xin; Seppi, Andrea
2
2022
Sobolev functions without compactly supported approximations. Zbl 1518.46027
Veronelli, Giona
2
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Sharp reachability results for the heat equation in one space dimension. Zbl 1498.93030
Kellay, Karim; Normand, Thomas; Tucsnak, Marius
2
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Critical perturbations for second-order elliptic operators. I: Square function bounds for layer potentials. Zbl 1517.35111
Bortz, Simon; Hofmann, Steve; Luna García, José Luis; Mayboroda, Svitlana; Poggi, Bruno
1
2022
Van der Waals-London interaction of atoms with pseudorelavistic kinetic energy. Zbl 1513.81049
Barbaroux, Jean-Marie; Hartig, Michael C.; Hundertmark, Dirk; Vugalter, Semjon
1
2022
A homogenized limit for the 2-dimensional Euler equations in a perforated domain. Zbl 1500.35022
Hillairet, Matthieu; Lacave, Christophe; Wu, Di
1
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Hardy spaces on Riemannian manifolds with quadratic curvature decay. Zbl 1504.42076
Devyver, Baptiste; Russ, Emmanuel
1
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Improved bounds for restricted projection families via weighted Fourier restriction. Zbl 1504.42025
Harris, Terence L. J.
1
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The Sobolev inequalities on real hyperbolic spaces and eigenvalue bounds for Schrödinger operators with complex potentials. Zbl 1512.35166
Chen, Xi
1
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On nonuniqueness of Hölder continuous globally dissipative Euler flows. Zbl 1509.35196
De Lellis, Camillo; Kwon, Hyunju
1
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Five-linear singular integral estimates of Brascamp-Lieb-type. Zbl 1502.42013
Muscalu, Camil; Zhai, Yujia
1
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H-principle for the 2-dimensional incompressible porous media equation with viscosity jump. Zbl 1490.35340
Mengual, Francisco
1
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The stability of the Minkowski space for the Einstein-Vlasov system. Zbl 1476.83007
Fajman, David; Joudioux, Jérémie; Smulevici, Jacques
28
2021
The Schauder estimate for kinetic integral equations. Zbl 1467.35069
Imbert, Cyril; Silvestre, Luis
22
2021
On an electromagnetic problem in a corner and its applications. Zbl 1480.78011
Blåsten, Emilia; Liu, Hongyu; Xiao, Jingni
16
2021
Quantitative estimates in stochastic homogenization for correlated coefficient fields. Zbl 1485.35156
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
15
2021
Variations of a class of Monge-Ampère-type functionals and their applications. Zbl 1468.35047
Chen, Haodi; Chen, Shibing; Li, Qi-Rui
15
2021
\(C^{1, \alpha}\)-regularity for variational problems in the Heisenberg group. Zbl 1473.35087
Mukherjee, Shirsho; Zhong, Xiao
14
2021
Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields. Zbl 1485.35091
Bruè, Elia; Nguyen, Quoc-Hung
14
2021
Nonlinear spectral decompositions by gradient flows of one-homogeneous functionals. Zbl 07365582
Bungert, Leon; Burger, Martin; Chambolle, Antonin; Novaga, Matteo
13
2021
Stable self-similar blow-up for a family of nonlocal transport equations. Zbl 1472.35277
Elgindi, Tarek M.; Ghoul, Tej-Eddine; Masmoudi, Nader
13
2021
Observability of the heat equation, geometric constants in control theory, and a conjecture of Luc Miller. Zbl 1479.35507
Laurent, Camille; Léautaud, Matthieu
9
2021
\(A_{\infty}\)-weights and compactness of conformal metrics under \(L^{n/2}\) curvature bounds. Zbl 1515.53030
Aldana, Clara L.; Carron, Gilles; Tapie, Samuel
9
2021
On sharp lower bounds for Calabi-type functionals and destabilizing properties of gradient flows. Zbl 1478.32056
Xia, Mingchen
8
2021
Analysis of the linear sampling method for imaging penetrable obstacles in the time domain. Zbl 1467.35343
Cakoni, Fioralba; Monk, Peter; Selgas, Virginia
8
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
7
2021
Sign-changing solutions for critical equations with Hardy potential. Zbl 1473.35290
Esposito, Pierpaolo; Ghoussoub, Nassif; Pistoia, Angela; Vaira, Giusi
6
2021
Translating solutions to the Gauss curvature flow with flat sides. Zbl 1514.53122
Choi, Kyeongsu; Daskalopoulos, Panagiota; Lee, Ki-Ahm
6
2021
Convergence rate in Wasserstein distance and semiclassical limit for the defocusing logarithmic Schrödinger equation. Zbl 1479.35787
Ferriere, Guillaume
6
2021
Threshold dynamics for corotational wave maps. Zbl 1486.35301
Rodriguez, Casey
6
2021
Banach space actions and \(L^2\)-spectral gap. Zbl 1479.46014
de Laat, Tim; de la Salle, Mikael
6
2021
Singularities generated by the triple interaction of semilinear conormal waves. Zbl 1467.35010
Sá Barreto, Antônio; Wang, Yiran
6
2021
Classical and microlocal analysis of the x-ray transform on Anosov manifolds. Zbl 1479.37028
Gouëzel, Sébastien; Lefeuvre, Thibault
6
2021
Optimal asymptotic bounds for designs on manifolds. Zbl 1482.05030
Gariboldi, Bianca; Gigante, Giacomo
5
2021
Quantitative comparisons of multiscale geometric properties. Zbl 1484.28001
Azzam, Jonas; Villa, Michele
5
2021
Waves interacting with a partially immersed obstacle in the Boussinesq regime. Zbl 07413798
Bresch, Didier; Lannes, David; Métivier, Guy
5
2021
Equivariant property (SI) revisited. Zbl 1486.46067
Szabó, Gábor
5
2021
Global well-posedness for the defocussing mass-critical stochastic nonlinear Schrödinger equation on \(\mathbb{R}\) at \(L^2\) regularity. Zbl 1490.35412
Fan, Chenjie; Xu, Weijun
5
2021
The Landau-Pekar equations: adiabatic theorem and accuracy. Zbl 1492.35241
Leopold, Nikolai; Rademacher, Simone; Schlein, Benjamin; Seiringer, Robert
5
2021
On the global bifurcation diagram of the Gelfand problem. Zbl 1485.35033
Bartolucci, Daniele; Jevnikar, Aleks
5
2021
The stable trapping phenomenon for black strings and black rings and its obstructions on the decay of linear waves. Zbl 1490.35491
Benomio, Gabriele
5
2021
Geometric quantization of coupled Kähler-Einstein metrics. Zbl 1478.32054
Takahashi, Ryosuke
4
2021
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Cited by 6,311 Authors

47 Wei, Juncheng
32 Miao, Changxing
28 Uhlmann, Gunther Alberto
28 Zheng, Jiqiang
26 Li, Kangwei
26 Schikorra, Armin
25 Schlein, Benjamin
25 Sire, Yannick
24 Wu, Jiahong
23 Oksanen, Lauri
22 Salo, Mikko
21 Lassas, Matti J.
21 Muñoz, Claudio
21 Rivera-Ríos, Israel P.
20 Dipierro, Serena
20 Forstnerič, Franc
20 Krieger, Joachim
20 Lacey, Michael T.
20 Martell, José María (Chema)
20 Seiringer, Robert
20 Valdinoci, Enrico
20 Vasy, András
19 Kenig, Carlos Eduardo
19 Raphael, Pierre
19 Tice, Ian
19 Tzvetkov, Nikolay
18 Byun, Sun-Sig
18 Iosevich, Alex
18 Yamazaki, Kazuo
17 Alarcón, Antonio
17 Ambrosio, Vincenzo
17 Dyatlov, Semyon
17 Gerard, Patrick
17 Hofmann, Steve
17 Hytönen, Tuomas P.
17 Jiang, Fei
17 Lee, Sanghyuk
17 Pérez, Carlos
17 Zhang, Junyong
16 Cuccagna, Scipio
16 Donninger, Roland
16 González, María del Mar
16 Guillarmou, Colin
16 Guo, Shaoming
16 Tao, Terence
16 Zhang, Zhifei
15 Dodson, Benjamin G.
15 Dovetta, Simone
15 Feizmohammadi, Ali
15 Lawrie, Andrew G. W.
15 Li, Ji
15 Luk, Jonathan
15 Mayboroda, Svitlana
15 Merle, Frank
15 Nakanishi, Kenji
15 Oh, Tadahiro
15 Procesi, Michela
15 Rüland, Angkana
15 Wick, Brett Duane
15 Xu, Guixiang
15 Yang, Minbo
14 De Filippis, Cristiana
14 Frank, Rupert L.
14 Galkowski, Jeffrey
14 Gancedo, Francisco
14 Germain, Pierre
14 Guo, Zihua
14 Hyder, Ali
14 Lin, Chang-Shou
14 Lin, Yi-Hsuan
14 Martel, Yvan
14 Montalto, Riccardo
14 Murphy, Jason
14 Phan Thành Nam
14 Rădulescu, Vicenţiu D.
14 Sawano, Yoshihiro
14 Serfaty, Sylvia
14 Soave, Nicola
14 Sogge, Christopher D.
14 Vertman, Boris
14 Visciglia, Nicola
14 Yang, Dachun
14 Zhao, Lifeng
13 Choi, Young-Pil
13 Dong, Hongjie
13 Duyckaerts, Thomas
13 Harrach, Bastian
13 Hu, Guoen
13 Jiang, Song
13 Léautaud, Matthieu
13 Liu, Hongyu
13 Lu, Chinh Hoang
13 Lu, Guozhen
13 Maeda, Masaya
13 Marzuola, Jeremy Louis
13 Matioc, Bogdan-Vasile
13 Mirek, Mariusz
13 Mughetti, Marco
13 Novaga, Matteo
13 Oliveira e Silva, Diogo
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Cited in 465 Journals

358 Journal of Differential Equations
291 Journal of Functional Analysis
253 Calculus of Variations and Partial Differential Equations
224 Communications in Mathematical Physics
198 Advances in Mathematics
197 SIAM Journal on Mathematical Analysis
188 The Journal of Geometric Analysis
185 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
173 Archive for Rational Mechanics and Analysis
159 Journal of Mathematical Analysis and Applications
134 Journal of Mathematical Physics
129 Transactions of the American Mathematical Society
126 Analysis & PDE
125 Mathematische Annalen
117 Communications in Partial Differential Equations
115 Discrete and Continuous Dynamical Systems
112 Journal de Mathématiques Pures et Appliquées. Neuvième Série
104 Annales Henri Poincaré
102 Proceedings of the American Mathematical Society
95 Nonlinearity
80 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
80 Communications on Pure and Applied Analysis
67 Revista Matemática Iberoamericana
64 Mathematische Zeitschrift
63 The Journal of Fourier Analysis and Applications
59 Journal d’Analyse Mathématique
56 Inventiones Mathematicae
55 Journal of the European Mathematical Society (JEMS)
55 Journal of Evolution Equations
54 Annals of PDE
52 Journal of Spectral Theory
47 Inverse Problems and Imaging
44 Indiana University Mathematics Journal
41 Annali di Matematica Pura ed Applicata. Serie Quarta
41 Duke Mathematical Journal
41 Potential Analysis
40 Communications in Contemporary Mathematics
39 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
38 Annales de l’Institut Fourier
38 Journal of Mathematical Fluid Mechanics
38 Acta Mathematica Sinica. English Series
36 Memoirs of the American Mathematical Society
35 Pure and Applied Analysis
34 Journal of the London Mathematical Society. Second Series
33 Inverse Problems
33 Journal für die Reine und Angewandte Mathematik
33 Séminaire Laurent Schwartz. EDP et Applications
32 Geometric and Functional Analysis. GAFA
31 Communications on Pure and Applied Mathematics
31 Comptes Rendus. Mathématique. Académie des Sciences, Paris
30 Letters in Mathematical Physics
30 Science China. Mathematics
28 Advanced Nonlinear Studies
27 Mathematische Nachrichten
26 Journal of Dynamics and Differential Equations
26 Forum of Mathematics, Sigma
26 Mathematics in Engineering
25 ZAMP. Zeitschrift für angewandte Mathematik und Physik
25 NoDEA. Nonlinear Differential Equations and Applications
25 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
24 Applicable Analysis
24 Journal of Nonlinear Science
24 Nonlinear Analysis. Real World Applications
24 Oberwolfach Reports
24 Complex Variables and Elliptic Equations
24 Analysis and Mathematical Physics
23 Asymptotic Analysis
23 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
23 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
22 Classical and Quantum Gravity
22 Israel Journal of Mathematics
22 Archiv der Mathematik
22 Annals of Mathematics. Second Series
22 Journal de l’École Polytechnique – Mathématiques
21 Journal of Statistical Physics
21 Mathematical Methods in the Applied Sciences
21 Integral Equations and Operator Theory
21 Physica D
20 Studia Mathematica
20 Reviews in Mathematical Physics
20 Bulletin of the London Mathematical Society
20 Journal of Hyperbolic Differential Equations
20 Advances in Nonlinear Analysis
19 Discrete and Continuous Dynamical Systems. Series S
19 Advances in Calculus of Variations
18 Quarterly of Applied Mathematics
18 Acta Mathematica Scientia. Series B. (English Edition)
17 American Journal of Mathematics
17 Journal of the American Mathematical Society
17 Journal of the Institute of Mathematics of Jussieu
16 SIAM Journal on Control and Optimization
16 Applied Mathematics Letters
16 International Journal of Mathematics
16 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
16 Journal of High Energy Physics
16 Journal of Physics A: Mathematical and Theoretical
15 Chinese Annals of Mathematics. Series B
15 Annals of Global Analysis and Geometry
15 Interfaces and Free Boundaries
15 Discrete and Continuous Dynamical Systems. Series B
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Cited in 61 Fields

5,059 Partial differential equations (35-XX)
932 Harmonic analysis on Euclidean spaces (42-XX)
802 Fluid mechanics (76-XX)
699 Differential geometry (53-XX)
675 Global analysis, analysis on manifolds (58-XX)
651 Operator theory (47-XX)
557 Quantum theory (81-XX)
529 Functional analysis (46-XX)
417 Dynamical systems and ergodic theory (37-XX)
348 Calculus of variations and optimal control; optimization (49-XX)
333 Several complex variables and analytic spaces (32-XX)
304 Statistical mechanics, structure of matter (82-XX)
303 Probability theory and stochastic processes (60-XX)
254 Relativity and gravitational theory (83-XX)
247 Measure and integration (28-XX)
239 Real functions (26-XX)
171 Number theory (11-XX)
163 Numerical analysis (65-XX)
162 Systems theory; control (93-XX)
133 Functions of a complex variable (30-XX)
129 Potential theory (31-XX)
123 Ordinary differential equations (34-XX)
123 Convex and discrete geometry (52-XX)
114 Mechanics of deformable solids (74-XX)
110 Optics, electromagnetic theory (78-XX)
100 Biology and other natural sciences (92-XX)
99 Combinatorics (05-XX)
97 Abstract harmonic analysis (43-XX)
97 Integral transforms, operational calculus (44-XX)
79 Integral equations (45-XX)
65 Topological groups, Lie groups (22-XX)
60 Algebraic geometry (14-XX)
53 Mechanics of particles and systems (70-XX)
47 Geophysics (86-XX)
46 Group theory and generalizations (20-XX)
41 Information and communication theory, circuits (94-XX)
39 Manifolds and cell complexes (57-XX)
37 Geometry (51-XX)
36 Computer science (68-XX)
36 Astronomy and astrophysics (85-XX)
35 Linear and multilinear algebra; matrix theory (15-XX)
33 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
32 Special functions (33-XX)
30 General and overarching topics; collections (00-XX)
25 Classical thermodynamics, heat transfer (80-XX)
24 Difference and functional equations (39-XX)
22 Approximations and expansions (41-XX)
16 Operations research, mathematical programming (90-XX)
15 Statistics (62-XX)
14 General topology (54-XX)
12 Mathematical logic and foundations (03-XX)
11 Algebraic topology (55-XX)
9 History and biography (01-XX)
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5 Commutative algebra (13-XX)
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3 Category theory; homological algebra (18-XX)
2 Sequences, series, summability (40-XX)

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