# 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

#### Latest Issues

 14, No. 3 (2021) 14, No. 1 (2021) 13, No. 8 (2020) 13, No. 7 (2020) 13, No. 6 (2020) 13, No. 5 (2020) 13, No. 4 (2020) 13, No. 3 (2020) 13, No. 2 (2020) 13, No. 1 (2020) 12, No. 8 (2019) 12, No. 7 (2019) 12, No. 6 (2019) 12, No. 5 (2019) 12, No. 4 (2019) 12, No. 3 (2019) 12, No. 2 (2019) 12, No. 1 (2019) 11, No. 8 (2018) 11, No. 7 (2018) 11, No. 6 (2018) 11, No. 5 (2018) 11, No. 4 (2018) 11, No. 3 (2018) 11, No. 2 (2018) 11, No. 1 (2018) 10, No. 8 (2017) 10, No. 7 (2017) 10, No. 6 (2017) 10, No. 5 (2017) 10, No. 4 (2017) 10, No. 3 (2017) 10, No. 2 (2017) 10, No. 1 (2017) 9, No. 8 (2016) 9, No. 7 (2016) 9, No. 6 (2016) 9, No. 5 (2016) 9, No. 4 (2016) 9, No. 3 (2016) 9, No. 2 (2016) 9, No. 1 (2016) 8, No. 8 (2015) 8, No. 7 (2015) 8, No. 6 (2015) 8, No. 5 (2015) 8, No. 4 (2015) 8, No. 3 (2015) 8, No. 2 (2015) 8, No. 1 (2015) 7, No. 8 (2014) 7, No. 7 (2014) 7, No. 6 (2014) 7, No. 5 (2014) 7, No. 4 (2014) 7, No. 3 (2014) 7, No. 2 (2014) 7, No. 1 (2014) 6, No. 8 (2013) 6, No. 7 (2013) 6, No. 6 (2013) 6, No. 5 (2013) 6, No. 4 (2013) 6, No. 3 (2013) 6, No. 2 (2013) 6, No. 1 (2013) 5, No. 5 (2012) 5, No. 4 (2012) 5, No. 3 (2012) 5, No. 2 (2012) 5, No. 1 (2012) 4, No. 5 (2011) 4, No. 4 (2011) 4, No. 3 (2011) 4, No. 2 (2011) 4, No. 1 (2011) 3, No. 4 (2010) 3, No. 3 (2010) 3, No. 2 (2010) 3, No. 1 (2010) 2, No. 3 (2009) 2, No. 2 (2009) 2, No. 1 (2009) 1, No. 3 (2008) 1, No. 2 (2008) 1, No. 1 (2008)
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)

#### 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
2013
Uniqueness of ground states for pseudorelativistic Hartree equations. Zbl 1183.35266
Lenzmann, Enno
2009
Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum. Zbl 1366.35215
Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico
2015
Scattering threshold for the focusing nonlinear Klein-Gordon equation. Zbl 1270.35132
Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji
2011
Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation. Zbl 1190.35177
Tao, Terence
2009
The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher. Zbl 1171.35111
Killip, Rowan; Visan, Monica; Zhang, Xiaoyi
2008
Nonlocal self-improving properties. Zbl 1317.35284
Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick
2015
Fractional conformal Laplacians and fractional Yamabe problems. Zbl 1287.35039
del Mar González, María; Qing, Jie
2013
Sharp weighted norm estimates beyond Calderón-Zygmund theory. Zbl 1344.42009
Bernicot, Frédéric; Frey, Dorothee; Petermichl, Stefanie
2016
Local well-posedness of the viscous surface wave problem without surface tension. Zbl 1273.35209
Guo, Yan; Tice, Ian
2013
A priori estimates for complex Hessian equations. Zbl 1297.32020
Dinew, Sławomir; Kołodziej, Sławomir
2014
Decay of viscous surface waves without surface tension in horizontally infinite domains. Zbl 1292.35206
Guo, Yan; Tice, Ian
2013
Local and nonlocal boundary conditions for $$\mu$$-transmission and fractional elliptic pseudodifferential operators. Zbl 1317.35310
Grubb, Gerd
2014
Three-term commutator estimates and the regularity of $$^{1}/_{2}$$-harmonic maps into spheres. Zbl 1241.35035
Da Lio, Francesca; Rivière, Tristan
2011
The Calderón problem with partial data on manifolds and applications. Zbl 1335.35301
Kenig, Carlos; Salo, Mikko
2013
Well-posedness of Lagrangian flows and continuity equations in metric measure spaces. Zbl 1357.49058
Ambrosio, Luigi; Trevisan, Dario
2014
Regularity for parabolic integro-differential equations with very irregular kernels. Zbl 1349.47079
Schwab, Russell W.; Silvestre, Luis
2016
The Cauchy problem for the Benjamin-Ono equation in $$L^{2}$$ revisited. Zbl 1273.35096
Molinet, Luc; Pilod, Didier
2012
On the Bogolyubov-Ruzsa lemma. Zbl 1320.11009
Sanders, Tom
2012
Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation. Zbl 1329.35207
Hillairet, Matthieu; Raphaël, Pierre
2012
Effective integrable dynamics for a certain nonlinear wave equation. Zbl 1268.35013
Gérard, Patrick; Grellier, Sandrine
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
2018
Semilinear wave equations on asymptotically de Sitter, Kerr-de Sitter and Minkowski spacetimes. Zbl 1336.35244
Hintz, Peter; Vasy, András
2015
On the global well-posedness of energy-critical Schrödinger equations in curved spaces. Zbl 1264.35215
Ionescu, Alexandru D.; Pausader, Benoit; Staffilani, Gigliola
2012
A sparse domination principle for rough singular integrals. Zbl 1392.42011
Conde-Alonso, José M.; Culiuc, Amalia; Di Plinio, Francesco; Ou, Yumeng
2017
Boundary estimates in elliptic homogenization. Zbl 1368.35028
Shen, Zhongwei
2017
Quasimodes and a lower bound on the uniform energy decay rate for Kerr-AdS spacetimes. Zbl 1300.83030
Holzegel, Gustav; Smulevici, Jacques
2014
Vanishing viscosity plane parallel channel flow and related singular perturbation problems. Zbl 1160.35329
Mazzucato, Anna; Taylor, Michael
2008
Sharp polynomial decay rates for the damped wave equation on the torus. Zbl 1295.35075
Anantharaman, Nalini; Léautaud, Matthieu
2014
Ground states of large bosonic systems: the Gross-Pitaevskii limit revisited. Zbl 1342.35284
Phan Thánh Nam; Rougerie, Nicolas; Seiringer, Robert
2016
Classification of blowup limits for $$\mathrm{SU}(3)$$ singular Toda systems. Zbl 1322.35038
Lin, Chang-Shou; Wei, Jun-Cheng; Zhang, Lei
2015
Ricci flow on surfaces with conic singularities. Zbl 1322.53070
Mazzeo, Rafe; Rubinstein, Yanir A.; Sesum, Natasa
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
2010
On a maximum principle and its application to the logarithmically critical Boussinesq system. Zbl 1264.35173
Hmidi, Taoufik
2011
Two-dimensional nonlinear Schrödinger equation with random radial data. Zbl 1264.35212
Deng, Yu
2012
Characterisation of the energy of Gaussian beams on Lorentzian manifolds: with applications to black hole spacetimes. Zbl 1343.35229
Sbierski, Jan
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
2014
The Hartree equation for infinitely many particles. II: Dispersion and scattering in 2D. Zbl 1301.35122
Lewin, Mathieu; Sabin, Julien
2014
Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026
Han, Yongsheng; Lu, Guozhen; Sawyer, Eric
2014
Decay of linear waves on higher-dimensional Schwarzschild black holes. Zbl 1326.35382
Schlue, Volker
2013
Restriction and spectral multiplier theorems on asymptotically conic manifolds. Zbl 1293.35187
Guillarmou, Colin; Hassell, Andrew; Sikora, Adam
2013
A vector field method for relativistic transport equations with applications. Zbl 1373.35046
Fajman, David; Joudioux, Jérémie; Smulevici, Jacques
2017
Gross-Pitaevskii dynamics for Bose-Einstein condensates. Zbl 1414.35184
Brennecke, Christian; Schlein, Benjamin
2019
Global well-posedness of slightly supercritical active scalar equations. Zbl 1294.35092
Dabkowski, Michael; Kiselev, Alexander; Silvestre, Luis; Vicol, Vlad
2014
The geodesic X-ray transform with fold caustics. Zbl 1271.53070
Stefanov, Plamen; Uhlmann, Gunther
2012
Existence of extremals for a Fourier restriction inequality. Zbl 1273.42009
Christ, Michael; Shao, Shuanglin
2012
Global well-posedness on the derivative nonlinear Schrödinger equation. Zbl 1326.35361
Wu, Yifei
2015
The Calderón problem for the fractional Schrödinger equation. Zbl 1439.35530
Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther
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
2012
Global well-posedness for the nonlinear Schrödinger equation with derivative in energy space. Zbl 1298.35207
Wu, Yifei
2013
The wave equation on asymptotically anti de Sitter spaces. Zbl 1277.35014
Vasy, András
2012
Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system. Zbl 1309.76053
Barbato, David; Morandin, Francesco; Romito, Marco
2014
An inverse source problem in optical molecular imaging. Zbl 1171.35126
Stefanov, Plamen; Uhlmann, Gunther
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
2019
Bilinear forms on the Dirichlet space. Zbl 1262.30066
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric; Wick, Brett D.
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.
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
2012
Global well-posedness and scattering for the defocusing quintic NLS in three dimensions. Zbl 1264.35219
Killip, Rowan; Vişan, Monica
2012
Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems. Zbl 1347.35117
Bulíček, Miroslav; Diening, Lars; Schwarzacher, Sebastian
2016
Heat-flow monotonicity of Strichartz norms. Zbl 1190.35043
Bennett, Jonathan; Bez, Neal; Carbery, Anthony; Hundertmark, Dirk
2009
Instability theory of the Navier-Stokes-Poisson equations. Zbl 1284.35317
Jang, Juhi; Tice, Ian
2013
Regularity of weak solutions of a complex Monge-Ampère equation. Zbl 1264.32019
Székelyhidi, Gábor; Tosatti, Valentino
2011
Nonradial type II blow-up for the energy-supercritical semilinear heat equation. Zbl 1372.35153
Collot, Charles
2017
Pseudoparabolic regularization of forward-backward parabolic equations: a logarithmic nonlinearity. Zbl 1284.35121
Bertsch, Michiel; Smarrazzo, Flavia; Tesei, Alberto
2013
Stability for strongly coupled critical elliptic systems in a fully inhomogeneous medium. Zbl 1208.58025
Druet, Olivier; Hebey, Emmanuel
2009
On the unconditional uniqueness of solutions to the infinite radial Chern-Simons-Schrödinger hierarchy. Zbl 1307.35273
Chen, Xuwen; Smith, Paul
2014
Rigidity of minimizers in nonlocal phase transitions. Zbl 1391.35145
Savin, Ovidiu
2018
Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue. Zbl 1282.35099
Andrews, Ben; Clutterbuck, Julie
2013
Multiple vector-valued inequalities via the helicoidal method. Zbl 1361.42005
Benea, Cristina; Muscalu, Camil
2016
Stochastic homogenization of viscous Hamilton-Jacobi equations and applications. Zbl 1320.35033
Armstrong, Scott N.; Tran, Hung V.
2014
$$L^p$$ estimates for the Hilbert transforms along a one-variable vector field. Zbl 1285.42014
Bateman, Michael; Thiele, Christoph
2013
Porous media: The Muskat problem in three dimensions. Zbl 1273.35221
Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco
2013
Poisson statistics for eigenvalues of continuum random Schrödinger operators. Zbl 1227.82034
Combes, Jean-Michel; Germinet, François; Klein, Abel
2010
A natural lower bound for the size of nodal sets. Zbl 1329.35224
Hezari, Hamid; Sogge, Christopher D.
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
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.
2008
An improved lower bound on the size of Kakeya sets over finite fields. Zbl 1335.42017
2008
A second order estimate for general complex Hessian equations. Zbl 1353.32024
Phong, Duong; Picard, Sebastien; Zhang, Xiangwen
2016
A geometric tangential approach to sharp regularity for degenerate evolution equations. Zbl 1295.35296
Teixeira, Eduardo V.; Urbano, José Miguel
2014
Embeddings of infinitely connected planar domains into $$\mathbb C^2$$. Zbl 1277.32009
Forstnerič, Franc; Wold, Erlend Fornæss
2013
The inverse conjecture for the Gowers norm over finite fields via the correspondence principle. Zbl 1252.11012
Tao, Terence; Ziegler, Tamar
2010
Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients. Zbl 1351.35014
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
2017
A topological join construction and the Toda system on compact surfaces of arbitrary genus. Zbl 1336.35152
Jevnikar, Aleks; Kallel, Sadok; Malchiodi, Andrea
2015
A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus. Zbl 1284.35067
Faou, Erwan; Grébert, Benoît
2013
Noncommutative variations on Laplace’s equation. Zbl 1159.58005
Rosenberg, Jonathan
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
2018
The Muskat problem in two dimensions: equivalence of formulations, well-posedness, and regularity results. Zbl 1402.35319
Matioc, Bogdan-Vasile
2019
Bilinear Hilbert transforms along curves, I: The monomial case. Zbl 1275.42022
Li, Xiaochun
2013
Growth of Sobolev norms for the quintic NLS on $$\mathbb T^2$$. Zbl 1322.35126
Haus, Emanuele; Procesi, Michela
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
2017
The Fuglede conjecture holds in $$\mathbb{Z}_p\times \mathbb{Z}_p$$. Zbl 1361.05014
Iosevich, Alexander; Mayeli, Azita; Pakianathan, Jonathan
2017
The global stability of the Minkowski spacetime solution to the Einstein-nonlinear system in wave coordinates. Zbl 1298.35225
Speck, Jared
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
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
2016
Stabilization for the semilinear wave equation with geometric control condition. Zbl 1329.35062
Joly, Romain; Laurent, Camille
2013
Polynomials with no zeros on the bidisk. Zbl 1226.42019
Knese, Greg
2010
Non-Weyl resonance asymptotics for quantum graphs. Zbl 1268.34056
Davies, E. Brian; Pushnitski, Alexander
2011
Existence theorems of the fractional Yamabe problem. Zbl 1377.53056
Kim, Seunghyeok; Musso, Monica; Wei, Juncheng
2018
On small energy stabilization in the NLS with a trapping potential. Zbl 1326.35335
Cuccagna, Scipio; Maeda, Masaya
2015
Analysis of the linear sampling method for imaging penetrable obstacles in the time domain. Zbl 1467.35343
Cakoni, Fioralba; Monk, Peter; Selgas, Virginia
2021
Variations of a class of Monge-Ampère-type functionals and their applications. Zbl 07365579
Chen, Haodi; Chen, Shibing; Li, Qi-Rui
2021
$$L^2$$-boundedness of gradients of single-layer potentials and uniform rectifiability. Zbl 07365580
Prat, Laura; Puliatti, Carmelo; Tolsa, Xavier
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
2021
The Calderón problem for the fractional Schrödinger equation. Zbl 1439.35530
Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther
2020
Infinite-time blow-up for the 3-dimensional energy-critical heat equation. Zbl 1435.35081
del Pino, Manuel; Musso, Monica; Wei, Juncheng
2020
Regularity estimates for elliptic nonlocal operators. Zbl 1437.35175
Dyda, Bartłomiej; Kassmann, Moritz
2020
On the existence of translating solutions of mean curvature flow in slab regions. Zbl 1443.53053
Bourni, Theodora; Langford, Mat; Tinaglia, Giuseppe
2020
Regularity results for generalized double phase functionals. Zbl 07271830
Byun, Sun-Sig; Oh, Jehan
2020
On the trace operator for functions of bounded $$\mathbb{A}$$-variation. Zbl 1450.46017
Breit, Dominic; Diening, Lars; Gmeineder, Franz
2020
New formulas for the Laplacian of distance functions and applications. Zbl 1462.49031
Cavalletti, Fabio; Mondino, Andrea
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.
2020
Sharp Strichartz inequalities for fractional and higher-order Schrödinger equations. Zbl 1435.35015
Brocchi, Gianmarco; Oliveira e Silva, Diogo; Quilodrán, René
2020
A bootstrapping approach to jump inequalities and their applications. Zbl 1437.42023
Mirek, Mariusz; Stein, Elias M.; Zorin-Kranich, Pavel
2020
On the sharp upper bound related to the weak Muckenhoupt-Wheeden conjecture. Zbl 1451.42029
Lerner, Andrei K.; Nazarov, Fedor; Ombrosi, Sheldy
2020
On the regularity of minimizers for scalar integral functionals with $$(p,q)$$-growth. Zbl 1460.49027
Bella, Peter; Schäffner, Mathias
2020
On solvability and ill-posedness of the compressible Euler system subject to stochastic forces. Zbl 1435.35289
Breit, Dominic; Feireisl, Eduard; Hofmanová, Martina
2020
Uniform Sobolev estimates for Schrödinger operators with scaling-critical potentials and applications. Zbl 1452.35128
Mizutani, Haruya
2020
A proof of the instability of AdS for the Einstein-null dust system with an inner mirror. Zbl 1452.83009
Moschidis, Georgios
2020
Evanescent ergosurface instability. Zbl 1454.35379
Keir, Joe
2020
A vector field method for radiating black hole spacetimes. Zbl 1437.35088
Oliver, Jesús; Sterbenz, Jacob
2020
Stable ODE-type blowup for some quasilinear wave equations with derivative-quadratic nonlinearities. Zbl 1439.35094
Speck, Jared
2020
A well-posedness result for viscous compressible fluids with only bounded density. Zbl 1434.35046
Danchin, Raphaël; Fanelli, Francesco; Paicu, Marius
2020
On the Hölder continuous subsolution problem for the complex Monge-Ampère equation. II. Zbl 1442.32045
Nguyen, Ngoc Cuong
2020
Distance graphs and sets of positive upper density in $$\mathbb{R}^d$$. Zbl 07190788
Lyall, Neil; Magyar, Ákos
2020
Isolated singularities for semilinear elliptic systems with power-law nonlinearity. Zbl 1455.35102
Ghergu, Marius; Kim, Sunghan; Shahgholian, Henrik
2020
On the discrete Fuglede and Pompeiu problems. Zbl 07190791
Kiss, Gergely; Malikiosis, Romanos Diogenes; Somlai, Gábor; Vizer, Máté
2020
Almost-sure scattering for the radial energy-critical nonlinear wave equation in three dimensions. Zbl 1442.35259
Bringmann, Bjoern
2020
Spectral stability of inviscid columnar vortices. Zbl 1454.35267
Gallay, Thierry; Smets, Didier
2020
Scattering for defocusing energy subcritical nonlinear wave equations. Zbl 1459.35290
Dodson, Benjamin; Lawrie, Andrew; Mendelson, Dana; Murphy, Jason
2020
Nuclear dimension of simple stably projectionless $$C^\ast$$-algebras. Zbl 07324215
Castillejos, Jorge; Evington, Samuel
2020
Propagation properties of reaction-diffusion equations in periodic domains. Zbl 1467.35203
Ducasse, Romain
2020
Absence of Cartan subalgebras for right-angled Hecke von Neumann algebras. Zbl 1447.46047
Caspers, Martijn
2020
Asymptotic expansions of fundamental solutions in parabolic homogenization. Zbl 1437.35039
Geng, Jun; Shen, Zhongwei
2020
Optimal constants for a nonlocal approximation of Sobolev norms and total variation. Zbl 1435.26008
Antonucci, Clara; Gobbino, Massimo; Migliorini, Matteo; Picenni, Nicola
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
2020
Energy conservation for the compressible Euler and Navier-Stokes equations with vacuum. Zbl 1437.35552
Akramov, Ibrokhimbek; Dębiec, Tomasz; Skipper, Jack; Wiedemann, Emil
2020
Convex projective surfaces with compatible Weyl connection are hyperbolic. Zbl 07221197
Mettler, Thomas; Paternain, Gabriel P.
2020
Strichartz estimates for the Schrödinger flow on compact Lie groups. Zbl 1445.58010
Zhang, Yunfeng
2020
When does a perturbed Moser-Trudinger inequality admit an extremal? Zbl 1452.35009
Thizy, Pierre-Damien
2020
Well-posedness of the hydrostatic Navier-Stokes equations. Zbl 1451.35109
2020
Sharp variation-norm estimates for oscillatory integrals related to Carleson’s theorem. Zbl 1452.42010
Guo, Shaoming; Roos, Joris; Yung, Po-Lam
2020
Global existence for the derivative nonlinear Schrödinger equation with arbitrary spectral singularities. Zbl 1451.35186
Jenkins, Robert; Liu, Jiaqi; Perry, Peter; Sulem, Catherine
2020
Sharpening the triangle inequality: envelopes between $$L^2$$ and $$L^p$$ spaces. Zbl 1451.42022
Ivanisvili, Paata; Mooney, Connor
2020
Boundary value problems for second-order elliptic operators with complex coefficients. Zbl 1458.35153
Dindoš, Martin; Pipher, Jill
2020
Gross-Pitaevskii dynamics for Bose-Einstein condensates. Zbl 1414.35184
Brennecke, Christian; Schlein, Benjamin
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
2019
The Muskat problem in two dimensions: equivalence of formulations, well-posedness, and regularity results. Zbl 1402.35319
Matioc, Bogdan-Vasile
2019
A unified flow approach to smooth, even $$L_p$$-Minkowski problems. Zbl 1401.53048
Bryan, Paul; Ivaki, Mohammad N.; Scheuer, Julian
2019
Classification of positive singular solutions to a nonlinear biharmonic equation with critical exponent. Zbl 1421.35150
Frank, Rupert L.; König, Tobias
2019
Long time behavior of the master equation in mean field game theory. Zbl 1428.35607
Cardaliaguet, Pierre; Porretta, Alessio
2019
Global well-posedness for the two-dimensional Muskat problem with slope less than 1. Zbl 1403.35127
Cameron, Stephen
2019
Monotonicity and local uniqueness for the Helmholtz equation. Zbl 1423.35443
Harrach, Bastian; Pohjola, Valter; Salo, Mikko
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
2019
On the dimension and smoothness of radial projections. Zbl 1405.28011
Orponen, Tuomas
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.
2019
Sparse bounds for the discrete cubic Hilbert transform. Zbl 1446.42001
Culiuc, Amalia; Kesler, Robert; Lacey, Michael T.
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
2019
Complex interpolation and Calderón-Mityagin couples of Morrey spaces. Zbl 1435.46018
Mastyło, Mieczysław; Sawano, Yoshihiro
2019
Unstable normalized standing waves for the space periodic NLS. Zbl 1405.35191
Ackermann, Nils; Weth, Tobias
2019
Boundary behavior of solutions to the parabolic $$p$$-Laplace equation. Zbl 1394.35211
Avelin, Benny; Kuusi, Tuomo; Nyström, Kaj
2019
Coupled Kähler-Ricci solitons on toric Fano manifolds. Zbl 07143410
Hultgren, Jakob
2019
On the cost of observability in small times for the one-dimensional heat equation. Zbl 1417.35051
Dardé, Jérémi; Ervedoza, Sylvain
2019
Commutators of multiparameter flag singular integrals and applications. Zbl 1405.42041
Duong, Xuan Thinh; Li, Ji; Ou, Yumeng; Pipher, Jill; Wick, Brett D.
2019
Global geometry and $$C^1$$ convex extensions of 1-jets. Zbl 1403.26009
Azagra, Daniel; Mudarra, Carlos
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
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
2019
Alexandrov’s theorem revisited. Zbl 1418.35205
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
2019
Concentration of ground states in stationary mean-field games systems. Zbl 1404.35155
Cesaroni, Annalisa; Cirant, Marco
2019
Generalized crystalline evolutions as limits of flows with smooth anisotropies. Zbl 1403.53055
Chambolle, Antonin; Morini, Massimiliano; Novaga, Matteo; Ponsiglione, Marcello
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
2019
Tangent measures of elliptic measure and applications. Zbl 07143406
Azzam, Jonas; Mourgoglou, Mihalis
2019
On the Luzin $$N$$-property and the uncertainty principle for Sobolev mappings. Zbl 1406.26006
Ferone, Adele; Korobkov, Mikhail V.; Roviello, Alba
2019
Scale-invariant Fourier restriction to a hyperbolic surface. Zbl 1405.42028
Stovall, Betsy
2019
Resolvent estimates for spacetimes bounded by Killing horizons. Zbl 06974522
Gannot, Oran
2019
Interpolation by conformal minimal surfaces and directed holomorphic curves. Zbl 1402.53005
Alarcón, Antonio; Castro-Infantes, Ildefonso
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
2019
On asymptotic dynamics for $$L^2$$ critical generalized KdV equations with a saturated perturbation. Zbl 1398.35199
Lan, Yang
2019
Zeros of repeated derivatives of random polynomials. Zbl 1432.60012
Feng, Renjie; Yao, Dong
2019
Rokhlin dimension: absorption of model actions. Zbl 1427.46047
Szabó, Gábor
2019
Fracture with healing: a first step towards a new view of cavitation. Zbl 1402.74092
Francfort, Gilles; Giacomini, Alessandro; Lopez-Pamies, Oscar
2019
On the maximal rank problem for the complex homogeneous Monge-Ampère equation. Zbl 1412.32029
Ross, Julius; Witt Nyström, David
2019
Convergence of the Kähler-Ricci iteration. Zbl 1404.32043
Darvas, Tamás; Rubinstein, Yanir A.
2019
Global weak solutions of the Teichmüller harmonic map flow into general targets. Zbl 1404.53006
Rupflin, Melanie; Topping, Peter M.
2019
Absolute continuity and $${\alpha}$$-numbers on the real line. Zbl 1403.28003
Orponen, Tuomas
2019
Nonexistence of Wente’s $$L^\infty$$ estimate for the Neumann problem. Zbl 1405.35023
Hirsch, Jonas
2019
On a boundary value problem for conically deformed thin elastic sheets. Zbl 1397.49058
Olbermann, Heiner
2019
Spacelike radial graphs of prescribed mean curvature in the Lorentz-Minkowski space. Zbl 1430.53008
Bonheure, Denis; Iacopetti, Alessandro
2019
Steady three-dimensional rotational flows : an approach via two stream functions and Nash-Moser iteration. Zbl 1406.35244
Buffoni, Boris; Wahlén, Erik
2019
On the existence and stability of blowup for wave maps into a negatively curved target. Zbl 1411.35204
Donninger, Roland; Glogić, Irfan
2019
General Clark model for finite-rank perturbations. Zbl 1404.42035
Liaw, Constanze; Treil, Sergei
2019
Quantum dynamical bounds for ergodic potentials with underlying dynamics of zero topological entropy. Zbl 06991221
Han, Rui; Jitomirskaya, Svetlana
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
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
2018
Rigidity of minimizers in nonlocal phase transitions. Zbl 1391.35145
Savin, Ovidiu
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
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
2018
Existence theorems of the fractional Yamabe problem. Zbl 1377.53056
Kim, Seunghyeok; Musso, Monica; Wei, Juncheng
2018
Blow-up criteria for the Navier-Stokes equations in non-endpoint critical Besov spaces. Zbl 1392.35202
Albritton, Dallas
2018
...and 420 more Documents
all top 5

#### 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 ...and 3,821 more Authors
all top 5

#### 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 ...and 261 more Journals
all top 5

#### 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) 74 Potential theory (31-XX) 63 Integral transforms, operational calculus (44-XX) 58 Optics, electromagnetic theory (78-XX) 56 Biology and other natural sciences (92-XX) 51 Mechanics of deformable solids (74-XX) 49 Integral equations (45-XX) 47 Convex and discrete geometry (52-XX) 42 Combinatorics (05-XX) 40 Abstract harmonic analysis (43-XX) 37 Mechanics of particles and systems (70-XX) 32 Algebraic geometry (14-XX) 28 Astronomy and astrophysics (85-XX) 24 Topological groups, Lie groups (22-XX) 22 Geophysics (86-XX) 22 Information and communication theory, circuits (94-XX) 21 Group theory and generalizations (20-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 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) 5 Nonassociative rings and algebras (17-XX) 5 $$K$$-theory (19-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Category theory; homological algebra (18-XX) 1 Commutative algebra (13-XX) 1 Sequences, series, summability (40-XX)