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: 675 Publications (since 2008) References Indexed: 393 Publications with 11,846 References. all top 5 Latest Issues 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) 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 Smulevici, Jacques 5 Uhlmann, Gunther Alberto 5 Wei, Juncheng 4 Azzam, Jonas 4 Bernicot, Frédéric 4 Hassell, Andrew 4 Hofmann, Steve 4 Ibrahim, Slim 4 Iosevich, Alex 4 Lassas, Matti J. 4 Mitrea, Marius 4 Rivière, Tristan 4 Salo, Mikko 4 Sawyer, Eric T. 4 Terracini, Susanna 4 Wick, Brett Duane 3 Alarcón, Antonio 3 Andrews, Ben 3 Bejenaru, Ioan 3 Colin de Verdière, Yves 3 Dalibard, Anne-Laure 3 Dodson, Benjamin G. 3 Figalli, Alessio 3 Forstnerič, Franc 3 Guillarmou, Colin 3 Hezari, Hamid 3 Hmidi, Taoufik 3 Ivanisvili, Paata 3 Jevnikar, Aleks Yang Wen 3 Killip, Rowan 3 Langford, Mat 3 Lawrie, Andrew G. W. 3 Martell, José María (Chema) 3 Mastyło, Mieczysław 3 Mitrea, Dorina 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 Pramanik, Malabika 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 Tice, Ian 3 Vaes, Stefaan 3 Valdinoci, Enrico 3 Vasy, András 3 Visan, Monica 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 Burq, Nicolas 2 Carron, Gilles 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 Fajman, David 2 Fan, Chenjie 2 Frank, Rupert L. 2 Gallay, Thierry 2 Gérard-Varet, David 2 Germain, Pierre ...and 963 more Authors all top 5 Fields 480 Partial differential equations (35-XX) 102 Global analysis, analysis on manifolds (58-XX) 88 Harmonic analysis on Euclidean spaces (42-XX) 71 Differential geometry (53-XX) 65 Operator theory (47-XX) 53 Functional analysis (46-XX) 48 Fluid mechanics (76-XX) 43 Dynamical systems and ergodic theory (37-XX) 41 Quantum theory (81-XX) 38 Several complex variables and analytic spaces (32-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 25 Probability theory and stochastic processes (60-XX) 21 Measure and integration (28-XX) 19 Relativity and gravitational theory (83-XX) 17 Potential theory (31-XX) 17 Statistical mechanics, structure of matter (82-XX) 16 Real functions (26-XX) 14 Functions of a complex variable (30-XX) 13 Number theory (11-XX) 10 Combinatorics (05-XX) 10 Systems theory; control (93-XX) 9 Mechanics of deformable solids (74-XX) 8 Convex and discrete geometry (52-XX) 7 Group theory and generalizations (20-XX) 7 Integral transforms, operational calculus (44-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Optics, electromagnetic theory (78-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) 4 Special functions (33-XX) 4 Ordinary differential equations (34-XX) 4 Approximations and expansions (41-XX) 3 Astronomy and astrophysics (85-XX) 3 Biology and other natural sciences (92-XX) 2 Manifolds and cell complexes (57-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 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) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 600 Publications have been cited 6,954 times in 5,581 Documents Cited by ▼ Year ▼ Sharp weighted bounds involving \(A_\infty\). Zbl 1283.42032Hytönen, Tuomas; Pérez, Carlos 132 2013 Uniqueness of ground states for pseudorelativistic Hartree equations. Zbl 1183.35266Lenzmann, Enno 109 2009 Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum. Zbl 1366.35215Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico 84 2015 Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation. Zbl 1190.35177Tao, Terence 73 2009 Scattering threshold for the focusing nonlinear Klein-Gordon equation. Zbl 1270.35132Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji 71 2011 Nonlocal self-improving properties. Zbl 1317.35284Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick 66 2015 The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher. Zbl 1171.35111Killip, Rowan; Visan, Monica; Zhang, Xiaoyi 62 2008 Fractional conformal Laplacians and fractional Yamabe problems. Zbl 1287.35039del Mar González, María; Qing, Jie 62 2013 A priori estimates for complex Hessian equations. Zbl 1297.32020Dinew, Sławomir; Kołodziej, Sławomir 60 2014 Local well-posedness of the viscous surface wave problem without surface tension. Zbl 1273.35209Guo, Yan; Tice, Ian 55 2013 Decay of viscous surface waves without surface tension in horizontally infinite domains. Zbl 1292.35206Guo, Yan; Tice, Ian 54 2013 Sharp weighted norm estimates beyond Calderón-Zygmund theory. Zbl 1344.42009Bernicot, Frédéric; Frey, Dorothee; Petermichl, Stefanie 53 2016 Three-term commutator estimates and the regularity of \(^{1}/_{2}\)-harmonic maps into spheres. Zbl 1241.35035Da Lio, Francesca; Rivière, Tristan 52 2011 Local and nonlocal boundary conditions for \(\mu\)-transmission and fractional elliptic pseudodifferential operators. Zbl 1317.35310Grubb, Gerd 50 2014 A vector field method for relativistic transport equations with applications. Zbl 1373.35046Fajman, David; Joudioux, Jérémie; Smulevici, Jacques 50 2017 On the Bogolyubov-Ruzsa lemma. Zbl 1320.11009Sanders, Tom 49 2012 The Calderón problem with partial data on manifolds and applications. Zbl 1335.35301Kenig, Carlos; Salo, Mikko 48 2013 A sparse domination principle for rough singular integrals. Zbl 1392.42011Conde-Alonso, José M.; Culiuc, Amalia; Di Plinio, Francesco; Ou, Yumeng 47 2017 Semilinear wave equations on asymptotically de Sitter, Kerr-de Sitter and Minkowski spacetimes. Zbl 1336.35244Hintz, Peter; Vasy, András 46 2015 The Cauchy problem for the Benjamin-Ono equation in \(L^{2}\) revisited. Zbl 1273.35096Molinet, Luc; Pilod, Didier 46 2012 Reducibility of the quantum harmonic oscillator in \(d\)-dimensions with polynomial time-dependent perturbation. Zbl 1386.35059Bambusi, Dario; Grébert, Benoît; Maspero, Alberto; Robert, Didier 46 2018 Well-posedness of Lagrangian flows and continuity equations in metric measure spaces. Zbl 1357.49058Ambrosio, Luigi; Trevisan, Dario 45 2014 Regularity for parabolic integro-differential equations with very irregular kernels. Zbl 1349.47079Schwab, Russell W.; Silvestre, Luis 41 2016 Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation. Zbl 1329.35207Hillairet, Matthieu; Raphaël, Pierre 40 2012 Effective integrable dynamics for a certain nonlinear wave equation. Zbl 1268.35013Gérard, Patrick; Grellier, Sandrine 40 2012 The Calderón problem for the fractional Schrödinger equation. Zbl 1439.35530Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther 39 2020 Gross-Pitaevskii dynamics for Bose-Einstein condensates. Zbl 1414.35184Brennecke, Christian; Schlein, Benjamin 38 2019 Sharp polynomial decay rates for the damped wave equation on the torus. Zbl 1295.35075Anantharaman, Nalini; Léautaud, Matthieu 37 2014 Quasimodes and a lower bound on the uniform energy decay rate for Kerr-AdS spacetimes. Zbl 1300.83030Holzegel, Gustav; Smulevici, Jacques 37 2014 Boundary estimates in elliptic homogenization. Zbl 1368.35028Shen, Zhongwei 36 2017 Existence and orbital stability of the ground states with prescribed mass for the \(L^2\)-critical and supercritical NLS on bounded domains. Zbl 1314.35168Noris, Benedetta; Tavares, Hugo; Verzini, Gianmaria 35 2014 Ricci flow on surfaces with conic singularities. Zbl 1322.53070Mazzeo, Rafe; Rubinstein, Yanir A.; Sesum, Natasa 35 2015 Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026Han, Yongsheng; Lu, Guozhen; Sawyer, Eric 34 2014 Multiple vector-valued inequalities via the helicoidal method. Zbl 1361.42005Benea, Cristina; Muscalu, Camil 34 2016 Restriction and spectral multiplier theorems on asymptotically conic manifolds. Zbl 1293.35187Guillarmou, Colin; Hassell, Andrew; Sikora, Adam 34 2013 Ground states of large bosonic systems: the Gross-Pitaevskii limit revisited. Zbl 1342.35284Phan Thánh Nam; Rougerie, Nicolas; Seiringer, Robert 34 2016 Vanishing viscosity plane parallel channel flow and related singular perturbation problems. Zbl 1160.35329Mazzucato, Anna; Taylor, Michael 33 2008 Global well-posedness on the derivative nonlinear Schrödinger equation. Zbl 1326.35361Wu, Yifei 33 2015 The Muskat problem in two dimensions: equivalence of formulations, well-posedness, and regularity results. Zbl 1402.35319Matioc, Bogdan-Vasile 33 2019 Decay of linear waves on higher-dimensional Schwarzschild black holes. Zbl 1326.35382Schlue, Volker 33 2013 Classification of blowup limits for \(\mathrm{SU}(3)\) singular Toda systems. Zbl 1322.35038Lin, Chang-Shou; Wei, Jun-Cheng; Zhang, Lei 32 2015 Two-dimensional nonlinear Schrödinger equation with random radial data. Zbl 1264.35212Deng, Yu 32 2012 The wave equation on asymptotically anti de Sitter spaces. Zbl 1277.35014Vasy, András 31 2012 On the global well-posedness of energy-critical Schrödinger equations in curved spaces. Zbl 1264.35215Ionescu, Alexandru D.; Pausader, Benoit; Staffilani, Gigliola 31 2012 A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment. Zbl 1405.35206Figalli, Alessio; Kang, Moon-Jin 31 2019 Global well-posedness of the MHD equations in a homogeneous magnetic field. Zbl 1368.76077Wei, Dongyi; Zhang, Zhifei 31 2017 Characterisation of the energy of Gaussian beams on Lorentzian manifolds: with applications to black hole spacetimes. Zbl 1343.35229Sbierski, Jan 30 2015 A characterization of two weight norm inequalities for maximal singular integrals with one doubling measure. Zbl 1279.42016Lacey, Michael; Sawyer, Eric T.; Uriarte-Tuero, Ignacio 30 2012 Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system. Zbl 1309.76053Barbato, David; Morandin, Francesco; Romito, Marco 29 2014 The Hartree equation for infinitely many particles. II: Dispersion and scattering in 2D. Zbl 1301.35122Lewin, Mathieu; Sabin, Julien 28 2014 Global well-posedness for the nonlinear Schrödinger equation with derivative in energy space. Zbl 1298.35207Wu, Yifei 28 2013 Existence of extremals for a Fourier restriction inequality. Zbl 1273.42009Christ, Michael; Shao, Shuanglin 28 2012 Global well-posedness of slightly supercritical active scalar equations. Zbl 1294.35092Dabkowski, Michael; Kiselev, Alexander; Silvestre, Luis; Vicol, Vlad 27 2014 The geodesic X-ray transform with fold caustics. Zbl 1271.53070Stefanov, Plamen; Uhlmann, Gunther 27 2012 Bilinear forms on the Dirichlet space. Zbl 1262.30066Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric; Wick, Brett D. 27 2010 Bulk universality and clock spacing of zeros for ergodic Jacobi matrices with absolutely continuous spectrum. Zbl 1225.26031Avila, Artur; Last, Yoram; Simon, Barry 27 2010 On a maximum principle and its application to the logarithmically critical Boussinesq system. Zbl 1264.35173Hmidi, Taoufik 26 2011 Global well-posedness and scattering for the defocusing quintic NLS in three dimensions. Zbl 1264.35219Killip, Rowan; Vişan, Monica 26 2012 A unified flow approach to smooth, even \(L_p\)-Minkowski problems. Zbl 1401.53048Bryan, Paul; Ivaki, Mohammad N.; Scheuer, Julian 26 2019 Nonradial type II blow-up for the energy-supercritical semilinear heat equation. Zbl 1372.35153Collot, Charles 26 2017 The weak-\(A_\infty\) property of harmonic and \(p\)-harmonic measures implies uniform rectifiability. Zbl 1369.31006Hofmann, Steve; Le, Phi; Martell, José María; Nyström, Kaj 26 2017 A geometric tangential approach to sharp regularity for degenerate evolution equations. Zbl 1295.35296Teixeira, Eduardo V.; Urbano, José Miguel 25 2014 Stability for strongly coupled critical elliptic systems in a fully inhomogeneous medium. Zbl 1208.58025Druet, Olivier; Hebey, Emmanuel 25 2009 Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients. Zbl 1351.35014Nadin, Grégoire; Rossi, Luca 25 2015 Pseudoparabolic regularization of forward-backward parabolic equations: a logarithmic nonlinearity. Zbl 1284.35121Bertsch, Michiel; Smarrazzo, Flavia; Tesei, Alberto 25 2013 Power spectrum of the geodesic flow on hyperbolic manifolds. Zbl 1371.37056Dyatlov, Semyon; Faure, Frédéric; Guillarmou, Colin 25 2015 Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue. Zbl 1282.35099Andrews, Ben; Clutterbuck, Julie 24 2013 A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus. Zbl 1284.35067Faou, Erwan; Grébert, Benoît 24 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 1264.32004Costea, Şerban; Sawyer, Eric T.; Wick, Brett D. 24 2011 A vector field method approach to improved decay for solutions to the wave equation on a slowly rotating Kerr black hole. Zbl 1267.83065Luk, Jonathan 24 2012 The Fuglede conjecture holds in \(\mathbb{Z}_p\times \mathbb{Z}_p\). Zbl 1361.05014Iosevich, Alexander; Mayeli, Azita; Pakianathan, Jonathan 24 2017 Rigidity of minimizers in nonlocal phase transitions. Zbl 1391.35145Savin, Ovidiu 24 2018 Monotonicity of nonpluripolar products and complex Monge-Ampère equations with prescribed singularity. Zbl 1396.32011Darvas, Tamás; Di Nezza, Eleonora; Lu, Chinh H. 24 2018 Regularity results for generalized double phase functionals. Zbl 1477.49057Byun, Sun-Sig; Oh, Jehan 24 2020 An inverse source problem in optical molecular imaging. Zbl 1171.35126Stefanov, Plamen; Uhlmann, Gunther 23 2008 Heat-flow monotonicity of Strichartz norms. Zbl 1190.35043Bennett, Jonathan; Bez, Neal; Carbery, Anthony; Hundertmark, Dirk 23 2009 Stabilization for the semilinear wave equation with geometric control condition. Zbl 1329.35062Joly, Romain; Laurent, Camille 23 2013 Instability theory of the Navier-Stokes-Poisson equations. Zbl 1284.35317Jang, Juhi; Tice, Ian 23 2013 \(L^p\) estimates for the Hilbert transforms along a one-variable vector field. Zbl 1285.42014Bateman, Michael; Thiele, Christoph 23 2013 Global well-posedness for the two-dimensional Muskat problem with slope less than 1. Zbl 1403.35127Cameron, Stephen 23 2019 Sharp global estimates for local and nonlocal porous medium-type equations in bounded domains. Zbl 1443.35067Bonforte, Matteo; Figalli, Alessio; Vázquez, Juan Luis 23 2018 Scale-free unique continuation principle for spectral projectors, eigenvalue-lifting and Wegner estimates for random Schrödinger operators. Zbl 1383.35068Nakić, Ivica; Täufer, Matthias; Tautenhahn, Martin; Veselić, Ivan 23 2018 On the unconditional uniqueness of solutions to the infinite radial Chern-Simons-Schrödinger hierarchy. Zbl 1307.35273Chen, Xuwen; Smith, Paul 22 2014 Global-in-time Strichartz estimates on nontrapping, asymptotically conic manifolds. Zbl 1333.35226Hassell, Andrew; Zhang, Junyong 22 2016 Stochastic homogenization of viscous Hamilton-Jacobi equations and applications. Zbl 1320.35033Armstrong, Scott N.; Tran, Hung V. 22 2014 Geometric control condition for the wave equation with a time-dependent observation domain. Zbl 1391.35254Le Rousseau, Jérôme; Lebeau, Gilles; Terpolilli, Peppino; Trélat, Emmanuel 22 2017 Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems. Zbl 1347.35117Bulíček, Miroslav; Diening, Lars; Schwarzacher, Sebastian 22 2016 Bilinear Hilbert transforms along curves, I: The monomial case. Zbl 1275.42022Li, Xiaochun 22 2013 Convergence rates and Hölder estimates in almost-periodic homogenization of elliptic systems. Zbl 1327.35025Shen, Zhongwei 21 2015 Growth of Sobolev norms for the quintic NLS on \(\mathbb T^2\). Zbl 1322.35126Haus, Emanuele; Procesi, Michela 21 2015 Regularity of weak solutions of a complex Monge-Ampère equation. Zbl 1264.32019Székelyhidi, Gábor; Tosatti, Valentino 21 2011 Fuglede’s spectral set conjecture for convex polytopes. Zbl 1377.42014Greenfeld, Rachel; Lev, Nir 21 2017 The inverse problem for the Dirichlet-to-Neumann map on Lorentzian manifolds. Zbl 1391.35426Stefanov, Plamen; Yang, Yang 21 2018 An improved lower bound on the size of Kakeya sets over finite fields. Zbl 1335.42017Saraf, Shubhangi; Sudan, Madhu 21 2008 Existence theorems of the fractional Yamabe problem. Zbl 1377.53056Kim, Seunghyeok; Musso, Monica; Wei, Juncheng 20 2018 The inverse conjecture for the Gowers norm over finite fields via the correspondence principle. Zbl 1252.11012Tao, Terence; Ziegler, Tamar 20 2010 Poisson statistics for eigenvalues of continuum random Schrödinger operators. Zbl 1227.82034Combes, Jean-Michel; Germinet, François; Klein, Abel 20 2010 Dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations: mass transfer in systems with solitons and degenerate neutral modes. Zbl 1175.35136Gang, Zhou; Weinstein, Michael I. 20 2008 Porous media: The Muskat problem in three dimensions. Zbl 1273.35221Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco 20 2013 Noncommutative variations on Laplace’s equation. Zbl 1159.58005Rosenberg, Jonathan 19 2008 The 1-dimensional nonlinear Schrödinger equation with a weighted \(L^1\) potential. Zbl 1498.35189Chen, Gong; Pusateri, Fabio 4 2022 Sharp energy regularity and typicality results for Hölder solutions of incompressible Euler equations. Zbl 1490.35263De Rosa, Luigi; Tione, Riccardo 3 2022 A Szemerédi-type theorem for subsets of the unit cube. Zbl 1486.05305Durcik, Polona; Kovač, Vjekoslav 2 2022 An asymptotic expansion of two-bubble wave maps in high equivariance classes. Zbl 1487.35177Jendrej, Jacek; Lawrie, Andrew 1 2022 Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains. Zbl 1490.35119Dupaigne, Louis; Farina, Alberto 1 2022 Regular domains and surfaces of constant Gaussian curvature in \(3\)-dimensional affine space. Zbl 1498.53009Nie, Xin; Seppi, Andrea 1 2022 Fourier decay of self-similar measures and self-similar sets of uniqueness. Zbl 07554580Varjú, Péter P.; Yu, Han 1 2022 The deformed Hermitian Yang-Mills equation on three-folds. Zbl 07589177Pingali, Vamsi Pritham 1 2022 Five-linear singular integral estimates of Brascamp-Lieb-type. Zbl 1502.42013Muscalu, Camil; Zhai, Yujia 1 2022 Local maximizers of adjoint Fourier restriction estimates for the cone, paraboloid and sphere. Zbl 1497.35017Gonçalves, Felipe; Negro, Giuseppe 1 2022 Eigenvalue estimates for Kato-type Ricci curvature conditions. Zbl 07632774Rose, Christian; Wei, Guofang 1 2022 Convergence over fractals for the periodic Schrödinger equation. Zbl 07632777Eceizabarrena, Daniel; Lucà, Renato 1 2022 Stability and instability in scalar balance laws: fronts and periodic waves. Zbl 07632778Duchêne, Vincent; Rodrigues, Luis Miguel 1 2022 The stability of the Minkowski space for the Einstein-Vlasov system. Zbl 1476.83007Fajman, David; Joudioux, Jérémie; Smulevici, Jacques 10 2021 Variations of a class of Monge-Ampère-type functionals and their applications. Zbl 1468.35047Chen, Haodi; Chen, Shibing; Li, Qi-Rui 8 2021 The Schauder estimate for kinetic integral equations. Zbl 1467.35069Imbert, Cyril; Silvestre, Luis 8 2021 Nonlinear spectral decompositions by gradient flows of one-homogeneous functionals. Zbl 07365582Bungert, Leon; Burger, Martin; Chambolle, Antonin; Novaga, Matteo 6 2021 On an electromagnetic problem in a corner and its applications. Zbl 1480.78011Blåsten, Emilia; Liu, Hongyu; Xiao, Jingni 5 2021 Analysis of the linear sampling method for imaging penetrable obstacles in the time domain. Zbl 1467.35343Cakoni, Fioralba; Monk, Peter; Selgas, Virginia 4 2021 Stable self-similar blow-up for a family of nonlocal transport equations. Zbl 1472.35277Elgindi, Tarek M.; Ghoul, Tej-Eddine; Masmoudi, Nader 4 2021 Singularities generated by the triple interaction of semilinear conormal waves. Zbl 1467.35010Sá Barreto, Antônio; Wang, Yiran 4 2021 \(C^{1, \alpha}\)-regularity for variational problems in the Heisenberg group. Zbl 1473.35087Mukherjee, Shirsho; Zhong, Xiao 4 2021 Translating solutions to the Gauss curvature flow with flat sides. Zbl 07403060Choi, Kyeongsu; Daskalopoulos, Panagiota; Lee, Ki-Ahm 4 2021 \(L^2\)-boundedness of gradients of single-layer potentials and uniform rectifiability. Zbl 1473.35148Prat, Laura; Puliatti, Carmelo; Tolsa, Xavier 3 2021 Local and global estimates for hyperbolic equations in Besov-Lipschitz and Triebel-Lizorkin spaces. Zbl 1467.35373Israelsson, Anders; Rodríguez-López, Salvador; Staubach, Wolfgang 3 2021 Sign-changing solutions for critical equations with Hardy potential. Zbl 1473.35290Esposito, Pierpaolo; Ghoussoub, Nassif; Pistoia, Angela; Vaira, Giusi 3 2021 Convergence rate in Wasserstein distance and semiclassical limit for the defocusing logarithmic Schrödinger equation. Zbl 1479.35787Ferriere, Guillaume 3 2021 Quantitative estimates in stochastic homogenization for correlated coefficient fields. Zbl 1485.35156Gloria, Antoine; Neukamm, Stefan; Otto, Felix 3 2021 Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields. Zbl 1485.35091Bruè, Elia; Nguyen, Quoc-Hung 3 2021 Potential well theory for the derivative nonlinear Schrödinger equation. Zbl 1472.35356Hayashi, Masayuki 2 2021 Banach space actions and \(L^2\)-spectral gap. Zbl 1479.46014de Laat, Tim; de la Salle, Mikael 2 2021 On scale-invariant bounds for the Green’s function for second-order elliptic equations with lower-order coefficients and applications. Zbl 1468.35039Sakellaris, Georgios 2 2021 Classical and microlocal analysis of the x-ray transform on Anosov manifolds. Zbl 1479.37028Gouëzel, Sébastien; Lefeuvre, Thibault 2 2021 Optimal asymptotic bounds for designs on manifolds. Zbl 1482.05030Gariboldi, Bianca; Gigante, Giacomo 2 2021 On the expected Betti numbers of the nodal set of random fields. Zbl 1481.60096Wigman, Igor 2 2021 Geometric quantization of coupled Kähler-Einstein metrics. Zbl 1478.32054Takahashi, Ryosuke 2 2021 Quantitative comparisons of multiscale geometric properties. Zbl 1484.28001Azzam, Jonas; Villa, Michele 2 2021 Global existence and scattering for quadratic NLS with potential in three dimensions. Zbl 1483.35214Léger, Tristan 2 2021 \(A_{\infty}\)-weights and compactness of conformal metrics under \(L^{n/2}\) curvature bounds. Zbl 07454711Aldana, Clara L.; Carron, Gilles; Tapie, Samuel 2 2021 Global well-posedness for the defocussing mass-critical stochastic nonlinear Schrödinger equation on \(\mathbb{R}\) at \(L^2\) regularity. Zbl 1490.35412Fan, Chenjie; Xu, Weijun 2 2021 A gap theorem for \(\alpha\)-harmonic maps between two-spheres. Zbl 1477.58008Lamm, Tobias; Malchiodi, Andrea; Micallef, Mario 1 2021 Observability of the heat equation, geometric constants in control theory, and a conjecture of Luc Miller. Zbl 1479.35507Laurent, Camille; Léautaud, Matthieu 1 2021 Brown-Halmos characterization of multi-Toeplitz operators associated with noncommutative polyhyperballs. Zbl 07413787Popescu, Gelu 1 2021 A splitting lemma for coherent sheaves. Zbl 1485.32005Studer, Luca 1 2021 Lifting in compact covering spaces for fractional Sobolev mappings. Zbl 1486.46040Mironescu, Petru; Van Schaftingen, Jean 1 2021 Liouville-type theorems for minimal graphs over manifolds. Zbl 1479.53069Ding, Qi 1 2021 On sharp lower bounds for Calabi-type functionals and destabilizing properties of gradient flows. Zbl 1478.32056Xia, Mingchen 1 2021 Wave maps on \((1+2)\)-dimensional curved spacetimes. Zbl 1475.35196Gavrus, Cristian; Jao, Casey; Tataru, Daniel 1 2021 Waves interacting with a partially immersed obstacle in the Boussinesq regime. Zbl 07413798Bresch, Didier; Lannes, David; Métivier, Guy 1 2021 Equivariant property (SI) revisited. Zbl 1486.46067Szabó, Gábor 1 2021 Multilayer potentials for higher-order systems in rough domains. Zbl 1477.35083Hoepfner, Gustavo; Liboni, Paulo; Mitrea, Dorina; Mitrea, Irina; Mitrea, Marius 1 2021 The Landau-Pekar equations: adiabatic theorem and accuracy. 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Zbl 1437.35039Geng, Jun; Shen, Zhongwei 2 2020 ...and 500 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,013 Authors 41 Wei, Juncheng 26 Zheng, Jiqiang 25 Miao, Changxing 23 Schikorra, Armin 22 Uhlmann, Gunther Alberto 21 Li, Kangwei 21 Schlein, Benjamin 20 Sire, Yannick 18 Krieger, Joachim 18 Lacey, Michael T. 18 Muñoz, Claudio 18 Seiringer, Robert 18 Vasy, András 17 Ambrosio, Vincenzo 17 Raphael, Pierre 17 Wu, Jiahong 17 Yamazaki, Kazuo 17 Zhang, Junyong 16 Cuccagna, Scipio 16 Dyatlov, Semyon 16 Kenig, Carlos Eduardo 16 Lassas, Matti J. 16 Martell, José María (Chema) 16 Oksanen, Lauri 16 Rivera-Ríos, Israel P. 16 Tice, Ian 16 Valdinoci, Enrico 15 Dipierro, Serena 15 Jiang, Fei 15 Merle, Frank 14 Dodson, Benjamin G. 14 Guillarmou, Colin 14 Guo, Shaoming 14 Hofmann, Steve 14 Nakanishi, Kenji 14 Pérez, Carlos 14 Salo, Mikko 14 Sogge, Christopher D. 14 Tao, Terence 14 Tzvetkov, Nikolay 13 Alarcón, Antonio 13 Donninger, Roland 13 Forstnerič, Franc 13 Germain, Pierre 13 González, María del Mar 13 Hyder, Ali 13 Li, Ji 13 Lin, Chang-Shou 13 Lu, Guozhen 13 Maeda, Masaya 13 Mayboroda, Svitlana 13 Montalto, Riccardo 13 Oh, Tadahiro 13 Soave, Nicola 13 Yang, Minbo 13 Zhang, Zhifei 13 Zworski, Maciej 12 Aretakis, Stefanos 12 Duong, Xuan Thinh 12 Duyckaerts, Thomas 12 Frank, Rupert L. 12 Hytönen, Tuomas P. 12 Lee, Sanghyuk 12 Martel, Yvan 12 Matioc, Bogdan-Vasile 12 Murphy, Jason 12 Oliveira e Silva, Diogo 12 Smulevici, Jacques 12 Vertman, Boris 12 Wick, Brett Duane 12 Xu, Guixiang 11 Alazard, Thomas 11 Angelopoulos, Yannis 11 Dolbeault, Jean 11 Feizmohammadi, Ali 11 Gajic, Dejan 11 Galkowski, Jeffrey 11 Guo, Zihua 11 Hong, Younghun 11 Iosevich, Alex 11 Jiang, Song 11 Kim, Seunghyeok 11 Lerner, Andrei K. 11 Lin, Yi-Hsuan 11 Lu, Chinh Hoang 11 Luk, Jonathan 11 Marzuola, Jeremy Louis 11 Musso, Monica 11 Novaga, Matteo 11 Ombrosi, Sheldy Javier 11 Palatucci, Giampiero 11 Pausader, Benoît 11 Ponce, Gustavo 11 Procesi, Michela 11 Rougerie, Nicolas 11 Serfaty, Sylvia 11 Shvydkoy, Roman V. 11 Stefanov, Plamen D. 11 Tesei, Alberto 11 Thomann, Laurent ...and 4,913 more Authors all top 5 Cited in 414 Journals 285 Journal of Differential Equations 221 Journal of Functional Analysis 195 Calculus of Variations and Partial Differential Equations 178 Communications in Mathematical Physics 164 Advances in Mathematics 152 Nonlinear Analysis. 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New Series 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis ...and 314 more Journals all top 5 Cited in 61 Fields 3,851 Partial differential equations (35-XX) 703 Harmonic analysis on Euclidean spaces (42-XX) 555 Fluid mechanics (76-XX) 529 Global analysis, analysis on manifolds (58-XX) 521 Differential geometry (53-XX) 493 Operator theory (47-XX) 447 Quantum theory (81-XX) 371 Functional analysis (46-XX) 298 Dynamical systems and ergodic theory (37-XX) 258 Calculus of variations and optimal control; optimization (49-XX) 238 Several complex variables and analytic spaces (32-XX) 214 Statistical mechanics, structure of matter (82-XX) 212 Probability theory and stochastic processes (60-XX) 197 Relativity and gravitational theory (83-XX) 174 Measure and integration (28-XX) 157 Real functions (26-XX) 129 Number theory (11-XX) 119 Systems theory; control (93-XX) 111 Numerical analysis (65-XX) 98 Functions of a complex variable (30-XX) 94 Potential theory (31-XX) 89 Ordinary differential equations (34-XX) 83 Convex and discrete geometry (52-XX) 80 Integral transforms, operational calculus (44-XX) 76 Biology and other natural sciences (92-XX) 75 Optics, electromagnetic theory (78-XX) 70 Combinatorics (05-XX) 70 Mechanics of deformable solids (74-XX) 64 Abstract harmonic analysis (43-XX) 62 Integral equations (45-XX) 45 Mechanics of particles and systems (70-XX) 40 Algebraic geometry (14-XX) 38 Topological groups, Lie groups (22-XX) 34 Geophysics (86-XX) 33 Astronomy and astrophysics (85-XX) 32 Group theory and generalizations (20-XX) 32 Information and communication theory, circuits (94-XX) 27 Manifolds and cell complexes (57-XX) 27 Computer science (68-XX) 25 Special functions (33-XX) 25 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Geometry (51-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 17 Difference and functional equations (39-XX) 15 Approximations and expansions (41-XX) 15 General topology (54-XX) 15 Classical thermodynamics, heat transfer (80-XX) 15 Operations research, mathematical programming (90-XX) 13 General and overarching topics; collections (00-XX) 10 Mathematical logic and foundations (03-XX) 10 Algebraic topology (55-XX) 10 Statistics (62-XX) 6 \(K\)-theory (19-XX) 5 Associative rings and algebras (16-XX) 4 History and biography (01-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Nonassociative rings and algebras (17-XX) 3 Commutative algebra (13-XX) 2 Field theory and polynomials (12-XX) 2 Category theory; homological algebra (18-XX) 2 Sequences, series, summability (40-XX) Citations by Year