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. all top 5 Latest Issues 17, No. 2 (2024) 17, No. 1 (2024) 16, No. 10 (2023) 16, No. 9 (2023) 16, No. 8 (2023) 16, No. 7 (2023) 16, No. 6 (2023) 16, No. 5 (2023) 16, No. 4 (2023) 16, No. 3 (2023) 16, No. 2 (2023) 16, No. 1 (2023) 15, No. 8 (2022) 15, No. 7 (2022) 15, No. 6 (2022) 15, No. 5 (2022) 15, No. 4 (2022) 15, No. 3 (2022) 15, No. 2 (2022) 14, No. 8 (2021) 14, No. 7 (2021) 14, No. 6 (2021) 14, No. 4 (2021) 14, No. 3 (2021) 14, No. 2 (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) ...and 8 more Volumes all top 5 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 all top 5 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) 22 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 all cited Publications top 5 cited Publications Citations contained in zbMATH Open 673 Publications have been cited 9,058 times in 7,240 Documents Cited by ▼ Year ▼ Sharp weighted bounds involving \(A_\infty\). Zbl 1283.42032 Hytönen, Tuomas; Pérez, Carlos 161 2013 Uniqueness of ground states for pseudorelativistic Hartree equations. Zbl 1183.35266 Lenzmann, Enno 124 2009 Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum. Zbl 1366.35215 Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico 88 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 80 2011 A priori estimates for complex Hessian equations. Zbl 1297.32020 Dinew, Sławomir; Kołodziej, Sławomir 79 2014 Fractional conformal Laplacians and fractional Yamabe problems. Zbl 1287.35039 del Mar González, María; Qing, Jie 74 2013 Sharp weighted norm estimates beyond Calderón-Zygmund theory. Zbl 1344.42009 Bernicot, Frédéric; Frey, Dorothee; Petermichl, Stefanie 71 2016 The Calderón problem for the fractional Schrödinger equation. Zbl 1439.35530 Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther 69 2020 The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher. Zbl 1171.35111 Killip, Rowan; Visan, Monica; Zhang, Xiaoyi 65 2008 Decay of viscous surface waves without surface tension in horizontally infinite domains. Zbl 1292.35206 Guo, Yan; Tice, Ian 64 2013 Three-term commutator estimates and the regularity of \(^{1}/_{2}\)-harmonic maps into spheres. Zbl 1241.35035 Da Lio, Francesca; Rivière, Tristan 61 2011 Local well-posedness of the viscous surface wave problem without surface tension. Zbl 1273.35209 Guo, Yan; Tice, Ian 61 2013 A sparse domination principle for rough singular integrals. Zbl 1392.42011 Conde-Alonso, José M.; Culiuc, Amalia; Di Plinio, Francesco; Ou, Yumeng 60 2017 Local and nonlocal boundary conditions for \(\mu\)-transmission and fractional elliptic pseudodifferential operators. Zbl 1317.35310 Grubb, Gerd 59 2014 On the Bogolyubov-Ruzsa lemma. Zbl 1320.11009 Sanders, Tom 59 2012 A vector field method for relativistic transport equations with applications. Zbl 1373.35046 Fajman, David; Joudioux, Jérémie; Smulevici, Jacques 58 2017 The Calderón problem with partial data on manifolds and applications. Zbl 1335.35301 Kenig, Carlos; Salo, Mikko 57 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 Well-posedness of Lagrangian flows and continuity equations in metric measure spaces. Zbl 1357.49058 Ambrosio, Luigi; Trevisan, Dario 52 2014 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 51 2014 Semilinear wave equations on asymptotically de Sitter, Kerr-de Sitter and Minkowski spacetimes. Zbl 1336.35244 Hintz, Peter; Vasy, András 50 2015 Global well-posedness of the MHD equations in a homogeneous magnetic field. Zbl 1368.76077 Wei, Dongyi; Zhang, Zhifei 50 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 50 2012 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 Ground states of large bosonic systems: the Gross-Pitaevskii limit revisited. Zbl 1342.35284 Phan Thánh Nam; Rougerie, Nicolas; Seiringer, Robert 48 2016 Sharp polynomial decay rates for the damped wave equation on the torus. Zbl 1295.35075 Anantharaman, Nalini; Léautaud, Matthieu 47 2014 Boundary estimates in elliptic homogenization. Zbl 1368.35028 Shen, Zhongwei 46 2017 Effective integrable dynamics for a certain nonlinear wave equation. Zbl 1268.35013 Gérard, Patrick; Grellier, Sandrine 46 2012 Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation. Zbl 1329.35207 Hillairet, Matthieu; Raphaël, Pierre 45 2012 Regularity results for generalized double phase functionals. Zbl 1477.49057 Byun, Sun-Sig; Oh, Jehan 40 2020 Quasimodes and a lower bound on the uniform energy decay rate for Kerr-AdS spacetimes. Zbl 1300.83030 Holzegel, Gustav; Smulevici, Jacques 39 2014 Characterisation of the energy of Gaussian beams on Lorentzian manifolds: with applications to black hole spacetimes. Zbl 1343.35229 Sbierski, Jan 39 2015 Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026 Han, Yongsheng; Lu, Guozhen; Sawyer, Eric 39 2014 Monotonicity of nonpluripolar products and complex Monge-Ampère equations with prescribed singularity. Zbl 1396.32011 Darvas, Tamás; Di Nezza, Eleonora; Lu, Chinh H. 39 2018 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 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 Restriction and spectral multiplier theorems on asymptotically conic manifolds. Zbl 1293.35187 Guillarmou, Colin; Hassell, Andrew; Sikora, Adam 37 2013 Two-dimensional nonlinear Schrödinger equation with random radial data. Zbl 1264.35212 Deng, Yu 37 2012 The Muskat problem in two dimensions: equivalence of formulations, well-posedness, and regularity results. Zbl 1402.35319 Matioc, Bogdan-Vasile 37 2019 Global well-posedness on the derivative nonlinear Schrödinger equation. Zbl 1326.35361 Wu, Yifei 36 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 35 2016 The wave equation on asymptotically anti de Sitter spaces. Zbl 1277.35014 Vasy, András 35 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 34 2017 A unified flow approach to smooth, even \(L_p\)-Minkowski problems. Zbl 1401.53048 Bryan, Paul; Ivaki, Mohammad N.; Scheuer, Julian 34 2019 Classification of blowup limits for \(\mathrm{SU}(3)\) singular Toda systems. Zbl 1322.35038 Lin, Chang-Shou; Wei, Jun-Cheng; Zhang, Lei 33 2015 Existence of extremals for a Fourier restriction inequality. Zbl 1273.42009 Christ, Michael; Shao, Shuanglin 33 2012 The Fuglede conjecture holds in \(\mathbb{Z}_p\times \mathbb{Z}_p\). Zbl 1361.05014 Iosevich, Alexander; Mayeli, Azita; Pakianathan, Jonathan 32 2017 On the growth of Sobolev norms for NLS on 2- and 3-dimensional manifolds. Zbl 1371.35276 Planchon, Fabrice; Tzvetkov, Nikolay; Visciglia, Nicola 32 2017 Power spectrum of the geodesic flow on hyperbolic manifolds. Zbl 1371.37056 Dyatlov, Semyon; Faure, Frédéric; Guillarmou, Colin 32 2015 A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus. Zbl 1284.35067 Faou, Erwan; Grébert, Benoît 32 2013 Sharp global estimates for local and nonlocal porous medium-type equations in bounded domains. Zbl 1443.35067 Bonforte, Matteo; Figalli, Alessio; Vázquez, Juan Luis 31 2018 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 Global well-posedness for the two-dimensional Muskat problem with slope less than 1. Zbl 1403.35127 Cameron, Stephen 31 2019 Global well-posedness of slightly supercritical active scalar equations. Zbl 1294.35092 Dabkowski, Michael; Kiselev, Alexander; Silvestre, Luis; Vicol, Vlad 30 2014 The Hartree equation for infinitely many particles. II: Dispersion and scattering in 2D. Zbl 1301.35122 Lewin, Mathieu; Sabin, Julien 30 2014 Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients. Zbl 1351.35014 Nadin, Grégoire; Rossi, Luca 30 2015 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 On the regularity of minimizers for scalar integral functionals with \((p,q)\)-growth. Zbl 1460.49027 Bella, Peter; Schäffner, Mathias 30 2020 Weighted little BMO and two-weight inequalities for Journé commutators. Zbl 1395.42064 Holmes, Irina; Petermichl, Stefanie; Wick, Brett D. 30 2018 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 Global well-posedness for the nonlinear Schrödinger equation with derivative in energy space. Zbl 1298.35207 Wu, Yifei 29 2013 Fuglede’s spectral set conjecture for convex polytopes. Zbl 1377.42014 Greenfeld, Rachel; Lev, Nir 29 2017 Nonradial type II blow-up for the energy-supercritical semilinear heat equation. Zbl 1372.35153 Collot, Charles 29 2017 On a maximum principle and its application to the logarithmically critical Boussinesq system. Zbl 1264.35173 Hmidi, Taoufik 29 2011 Instability theory of the Navier-Stokes-Poisson equations. Zbl 1284.35317 Jang, Juhi; Tice, Ian 29 2013 Stability for strongly coupled critical elliptic systems in a fully inhomogeneous medium. Zbl 1208.58025 Druet, Olivier; Hebey, Emmanuel 28 2009 Long time behavior of the master equation in mean field game theory. Zbl 1428.35607 Cardaliaguet, Pierre; Porretta, Alessio 28 2019 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 A geometric tangential approach to sharp regularity for degenerate evolution equations. Zbl 1295.35296 Teixeira, Eduardo V.; Urbano, José Miguel 27 2014 Blow-up analysis of a nonlocal Liouville-type equation. Zbl 1323.30007 Da Lio, Francesca; Martinazzi, Luca; Rivière, Tristan 27 2015 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 Finite chains inside thin subsets of \(\mathbb{R}^d\). Zbl 1342.28006 Bennett, Michael; Iosevich, Alexander; Taylor, Krystal 27 2016 New formulas for the Laplacian of distance functions and applications. Zbl 1462.49031 Cavalletti, Fabio; Mondino, Andrea 27 2020 Regularity estimates for elliptic nonlocal operators. Zbl 1437.35175 Dyda, Bartłomiej; Kassmann, Moritz 27 2020 The stability of the Minkowski space for the Einstein-Vlasov system. Zbl 1476.83007 Fajman, David; Joudioux, Jérémie; Smulevici, Jacques 27 2021 Global well-posedness and scattering for the defocusing quintic NLS in three dimensions. Zbl 1264.35219 Killip, Rowan; Vişan, Monica 27 2012 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 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 A proof of the instability of AdS for the Einstein-null dust system with an inner mirror. Zbl 1452.83009 Moschidis, Georgios 26 2020 Porous media: The Muskat problem in three dimensions. Zbl 1273.35221 Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco 26 2013 Stabilization for the semilinear wave equation with geometric control condition. Zbl 1329.35062 Joly, Romain; Laurent, Camille 26 2013 Heat-flow monotonicity of Strichartz norms. Zbl 1190.35043 Bennett, Jonathan; Bez, Neal; Carbery, Anthony; Hundertmark, Dirk 25 2009 The inverse problem for the Dirichlet-to-Neumann map on Lorentzian manifolds. Zbl 1391.35426 Stefanov, Plamen; Yang, Yang 25 2018 An improved lower bound on the size of Kakeya sets over finite fields. Zbl 1335.42017 Saraf, Shubhangi; Sudan, Madhu 25 2008 An inverse source problem in optical molecular imaging. Zbl 1171.35126 Stefanov, Plamen; Uhlmann, Gunther 25 2008 Existence theorems of the fractional Yamabe problem. Zbl 1377.53056 Kim, Seunghyeok; Musso, Monica; Wei, Juncheng 25 2018 Quantized slow blow-up dynamics for the corotational energy-critical harmonic heat flow. Zbl 1327.35196 Raphaël, Pierre; Schweyer, Remi 25 2014 Infinite-time blow-up for the 3-dimensional energy-critical heat equation. Zbl 1435.35081 del Pino, Manuel; Musso, Monica; Wei, Juncheng 25 2020 \(L^p\) estimates for the Hilbert transforms along a one-variable vector field. Zbl 1285.42014 Bateman, Michael; Thiele, Christoph 25 2013 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 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 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 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 A simple nuclear \(C^{\ast}\)-algebra with an internal asymmetry. Zbl 1527.46036 Hirshberg, Ilan; Phillips, N. Christopher 2 2023 Strong semiclassical limits from Hartree and Hartree-Fock to Vlasov-Poisson equations. Zbl 1515.35228 Lafleche, Laurent; Saffirio, Chiara 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 2023 Ground state properties in the quasiclassical regime. Zbl 07785248 Correggi, Michele; Falconi, Marco; Olivieri, Marco 1 2023 Perturbed interpolation formulae and applications. Zbl 07785264 Ramos, João P. G.; Sousa, Mateus 1 2023 Global well-posedness of Vlasov-Poisson-type systems in bounded domains. Zbl 07785267 Cesbron, Ludovic; Iacobelli, Mikaela 1 2023 Quantitative Obata’s theorem. Zbl 07785239 Cavalletti, Fabio; Mondino, Andrea; Semola, Daniele 1 2023 Riesz transform and vertical oscillation in the Heisenberg group. Zbl 1527.43007 Fässler, Katrin; Orponen, Tuomas 1 2023 Sharp pointwise and uniform estimates for \(\bar{\partial} \). Zbl 1517.32054 Dong, Robert Xin; Li, Song-Ying; Treuer, John N. 1 2023 Talagrand’s influence inequality revisited. Zbl 1517.42026 Cordero-Erausquin, Dario; Eskenazis, Alexandros 1 2023 Subelliptic wave equations are never observable. Zbl 07709761 Letrouit, Cyril 1 2023 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 Wandering domains arising from Lavaurs maps with Siegel disks. Zbl 1518.32004 Astorg, Matthieu; Boc Thaler, Luka; Peters, Han 1 2023 Generic KAM Hamiltonians are not quantum ergodic. Zbl 1528.37052 Gomes, Seán 1 2023 Transversal families of nonlinear projections and generalizations of Favard length. Zbl 1527.28002 Bongers, Rosemarie; Taylor, Krystal 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 12 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 An asymptotic expansion of two-bubble wave maps in high equivariance classes. Zbl 1487.35177 Jendrej, Jacek; Lawrie, Andrew 7 2022 Quantitative inductive estimates for Green’s functions of non-self-adjoint matrices. Zbl 1515.81107 Liu, Wencai 7 2022 Stability and instability in scalar balance laws: fronts and periodic waves. Zbl 1504.35052 Duchêne, Vincent; Rodrigues, Luis Miguel 6 2022 The deformed Hermitian Yang-Mills equation on three-folds. Zbl 1504.32066 Pingali, Vamsi Pritham 6 2022 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 Fourier decay of self-similar measures and self-similar sets of uniqueness. Zbl 1507.11064 Varjú, Péter P.; Yu, Han 5 2022 Existence and regularity estimates for quasilinear equations with measure data: the case \(1 < p \leq (3n-2)/(2n-1)\). 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Zbl 07413787 Popescu, Gelu 3 2021 ...and 573 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,194 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 21 Oksanen, Lauri 20 Dipierro, Serena 20 Krieger, Joachim 20 Lassas, Matti J. 20 Muñoz, Claudio 20 Seiringer, Robert 20 Valdinoci, Enrico 20 Vasy, András 19 Kenig, Carlos Eduardo 19 Lacey, Michael T. 19 Martell, José María (Chema) 19 Raphael, Pierre 19 Rivera-Ríos, Israel P. 19 Salo, Mikko 19 Tice, Ian 19 Tzvetkov, Nikolay 18 Yamazaki, Kazuo 17 Ambrosio, Vincenzo 17 Byun, Sun-Sig 17 Dyatlov, Semyon 17 Forstnerič, Franc 17 Gerard, Patrick 17 Hofmann, Steve 17 Hytönen, Tuomas P. 17 Iosevich, Alex 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 Alarcón, Antonio 15 Dodson, Benjamin G. 15 Feizmohammadi, Ali 15 Lawrie, Andrew G. W. 15 Li, Ji 15 Mayboroda, Svitlana 15 Merle, Frank 15 Nakanishi, Kenji 15 Oh, Tadahiro 15 Wick, Brett Duane 15 Xu, Guixiang 15 Yang, Minbo 14 De Filippis, Cristiana 14 Dovetta, Simone 14 Galkowski, Jeffrey 14 Germain, Pierre 14 Guo, Zihua 14 Hyder, Ali 14 Lin, Chang-Shou 14 Luk, Jonathan 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 Frank, Rupert L. 13 Gancedo, Francisco 13 Jiang, Song 13 Lu, Guozhen 13 Maeda, Masaya 13 Martel, Yvan 13 Marzuola, Jeremy Louis 13 Matioc, Bogdan-Vasile 13 Mirek, Mariusz 13 Mughetti, Marco 13 Oliveira e Silva, Diogo 13 Procesi, Michela 13 Rüland, Angkana 13 Yang, Wen 13 Zhang, Ping 13 Zworski, Maciej 12 Aretakis, Stefanos 12 di Plinio, Francesco 12 Duong, Xuan Thinh 12 Duyckaerts, Thomas 12 Gajic, Dejan ...and 6,094 more Authors all top 5 Cited in 462 Journals 353 Journal of Differential Equations 281 Journal of Functional Analysis 245 Calculus of Variations and Partial Differential Equations 218 Communications in Mathematical Physics 192 Advances in Mathematics 192 SIAM Journal on Mathematical Analysis 186 The Journal of Geometric Analysis 184 Nonlinear Analysis. 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(English Edition) 17 American Journal of Mathematics 17 Journal of the American Mathematical Society 17 Journal of the Institute of Mathematics of Jussieu 17 Advances in Calculus of Variations 16 SIAM Journal on Control and Optimization 16 Applied Mathematics Letters 16 International Journal of Mathematics 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 Discrete and Continuous Dynamical Systems. Series B 15 SN Partial Differential Equations and Applications 14 Mathematical Proceedings of the Cambridge Philosophical Society ...and 362 more Journals all top 5 Cited in 61 Fields 4,953 Partial differential equations (35-XX) 902 Harmonic analysis on Euclidean spaces (42-XX) 784 Fluid mechanics (76-XX) 676 Differential geometry (53-XX) 655 Global analysis, analysis on manifolds (58-XX) 639 Operator theory (47-XX) 551 Quantum theory (81-XX) 511 Functional analysis (46-XX) 398 Dynamical systems and ergodic theory (37-XX) 341 Calculus of variations and optimal control; optimization (49-XX) 315 Several complex variables and analytic spaces (32-XX) 301 Statistical mechanics, structure of matter (82-XX) 292 Probability theory and stochastic processes (60-XX) 246 Relativity and gravitational theory (83-XX) 240 Measure and integration (28-XX) 230 Real functions (26-XX) 166 Number theory (11-XX) 157 Systems theory; control (93-XX) 156 Numerical analysis (65-XX) 130 Functions of a complex variable (30-XX) 124 Potential theory (31-XX) 123 Ordinary differential equations (34-XX) 121 Convex and discrete geometry (52-XX) 110 Mechanics of deformable solids (74-XX) 106 Optics, electromagnetic theory (78-XX) 99 Biology and other natural sciences (92-XX) 96 Combinatorics (05-XX) 95 Abstract harmonic analysis (43-XX) 92 Integral transforms, operational calculus (44-XX) 79 Integral equations (45-XX) 64 Topological groups, Lie groups (22-XX) 54 Algebraic geometry (14-XX) 51 Mechanics of particles and systems (70-XX) 47 Geophysics (86-XX) 46 Group theory and generalizations (20-XX) 40 Information and communication theory, circuits (94-XX) 39 Manifolds and cell complexes (57-XX) 36 Geometry (51-XX) 36 Astronomy and astrophysics (85-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 34 Computer science (68-XX) 32 Special functions (33-XX) 31 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 30 General and overarching topics; collections (00-XX) 25 Classical thermodynamics, heat transfer (80-XX) 22 Difference and functional equations (39-XX) 22 Approximations and expansions (41-XX) 16 Operations research, mathematical programming (90-XX) 14 General topology (54-XX) 14 Statistics (62-XX) 12 Mathematical logic and foundations (03-XX) 11 Algebraic topology (55-XX) 8 History and biography (01-XX) 8 \(K\)-theory (19-XX) 7 Nonassociative rings and algebras (17-XX) 6 Associative rings and algebras (16-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Commutative algebra (13-XX) 3 Field theory and polynomials (12-XX) 3 Category theory; homological algebra (18-XX) 2 Sequences, series, summability (40-XX) Citations by Year