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) Publications by Year all cited Publications top 5 cited Publications 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 1283.42032Hytönen, Tuomas; Pérez, Carlos 103 2013 Uniqueness of ground states for pseudorelativistic Hartree equations. Zbl 1183.35266Lenzmann, Enno 79 2009 Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum. Zbl 1366.35215Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico 73 2015 Scattering threshold for the focusing nonlinear Klein-Gordon equation. Zbl 1270.35132Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji 63 2011 Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation. Zbl 1190.35177Tao, Terence 60 2009 The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher. Zbl 1171.35111Killip, Rowan; Visan, Monica; Zhang, Xiaoyi 54 2008 Nonlocal self-improving properties. Zbl 1317.35284Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick 53 2015 Fractional conformal Laplacians and fractional Yamabe problems. Zbl 1287.35039del Mar González, María; Qing, Jie 50 2013 Sharp weighted norm estimates beyond Calderón-Zygmund theory. Zbl 1344.42009Bernicot, Frédéric; Frey, Dorothee; Petermichl, Stefanie 44 2016 Local well-posedness of the viscous surface wave problem without surface tension. Zbl 1273.35209Guo, Yan; Tice, Ian 44 2013 A priori estimates for complex Hessian equations. Zbl 1297.32020Dinew, Sławomir; Kołodziej, Sławomir 43 2014 Decay of viscous surface waves without surface tension in horizontally infinite domains. Zbl 1292.35206Guo, Yan; Tice, Ian 42 2013 Local and nonlocal boundary conditions for \(\mu\)-transmission and fractional elliptic pseudodifferential operators. Zbl 1317.35310Grubb, Gerd 40 2014 Three-term commutator estimates and the regularity of \(^{1}/_{2}\)-harmonic maps into spheres. Zbl 1241.35035Da Lio, Francesca; Rivière, Tristan 40 2011 The Calderón problem with partial data on manifolds and applications. Zbl 1335.35301Kenig, Carlos; Salo, Mikko 39 2013 Well-posedness of Lagrangian flows and continuity equations in metric measure spaces. Zbl 1357.49058Ambrosio, Luigi; Trevisan, Dario 37 2014 Regularity for parabolic integro-differential equations with very irregular kernels. Zbl 1349.47079Schwab, Russell W.; Silvestre, Luis 37 2016 The Cauchy problem for the Benjamin-Ono equation in \(L^{2}\) revisited. Zbl 1273.35096Molinet, Luc; Pilod, Didier 36 2012 On the Bogolyubov-Ruzsa lemma. Zbl 1320.11009Sanders, Tom 36 2012 Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation. Zbl 1329.35207Hillairet, Matthieu; Raphaël, Pierre 33 2012 Effective integrable dynamics for a certain nonlinear wave equation. Zbl 1268.35013Gérard, Patrick; Grellier, Sandrine 32 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 31 2018 Semilinear wave equations on asymptotically de Sitter, Kerr-de Sitter and Minkowski spacetimes. Zbl 1336.35244Hintz, Peter; Vasy, András 31 2015 On the global well-posedness of energy-critical Schrödinger equations in curved spaces. Zbl 1264.35215Ionescu, Alexandru D.; Pausader, Benoit; Staffilani, Gigliola 30 2012 A sparse domination principle for rough singular integrals. Zbl 1392.42011Conde-Alonso, José M.; Culiuc, Amalia; Di Plinio, Francesco; Ou, Yumeng 29 2017 Boundary estimates in elliptic homogenization. Zbl 1368.35028Shen, Zhongwei 29 2017 Quasimodes and a lower bound on the uniform energy decay rate for Kerr-AdS spacetimes. Zbl 1300.83030Holzegel, Gustav; Smulevici, Jacques 28 2014 Vanishing viscosity plane parallel channel flow and related singular perturbation problems. Zbl 1160.35329Mazzucato, Anna; Taylor, Michael 28 2008 Sharp polynomial decay rates for the damped wave equation on the torus. Zbl 1295.35075Anantharaman, Nalini; Léautaud, Matthieu 28 2014 Ground states of large bosonic systems: the Gross-Pitaevskii limit revisited. Zbl 1342.35284Phan Thánh Nam; Rougerie, Nicolas; Seiringer, Robert 27 2016 Classification of blowup limits for \(\mathrm{SU}(3)\) singular Toda systems. Zbl 1322.35038Lin, Chang-Shou; Wei, Jun-Cheng; Zhang, Lei 27 2015 Ricci flow on surfaces with conic singularities. Zbl 1322.53070Mazzeo, Rafe; Rubinstein, Yanir A.; Sesum, Natasa 27 2015 Bulk universality and clock spacing of zeros for ergodic Jacobi matrices with absolutely continuous spectrum. Zbl 1225.26031Avila, Artur; Last, Yoram; Simon, Barry 26 2010 On a maximum principle and its application to the logarithmically critical Boussinesq system. Zbl 1264.35173Hmidi, Taoufik 26 2011 Two-dimensional nonlinear Schrödinger equation with random radial data. Zbl 1264.35212Deng, Yu 26 2012 Characterisation of the energy of Gaussian beams on Lorentzian manifolds: with applications to black hole spacetimes. Zbl 1343.35229Sbierski, Jan 26 2015 Existence and orbital stability of the ground states with prescribed mass for the \(L^2\)-critical and supercritical NLS on bounded domains. Zbl 1314.35168Noris, Benedetta; Tavares, Hugo; Verzini, Gianmaria 26 2014 The Hartree equation for infinitely many particles. II: Dispersion and scattering in 2D. Zbl 1301.35122Lewin, Mathieu; Sabin, Julien 25 2014 Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026Han, Yongsheng; Lu, Guozhen; Sawyer, Eric 25 2014 Decay of linear waves on higher-dimensional Schwarzschild black holes. Zbl 1326.35382Schlue, Volker 25 2013 Restriction and spectral multiplier theorems on asymptotically conic manifolds. Zbl 1293.35187Guillarmou, Colin; Hassell, Andrew; Sikora, Adam 25 2013 A vector field method for relativistic transport equations with applications. Zbl 1373.35046Fajman, David; Joudioux, Jérémie; Smulevici, Jacques 24 2017 Gross-Pitaevskii dynamics for Bose-Einstein condensates. Zbl 1414.35184Brennecke, Christian; Schlein, Benjamin 24 2019 Global well-posedness of slightly supercritical active scalar equations. Zbl 1294.35092Dabkowski, Michael; Kiselev, Alexander; Silvestre, Luis; Vicol, Vlad 24 2014 The geodesic X-ray transform with fold caustics. Zbl 1271.53070Stefanov, Plamen; Uhlmann, Gunther 24 2012 Existence of extremals for a Fourier restriction inequality. Zbl 1273.42009Christ, Michael; Shao, Shuanglin 24 2012 Global well-posedness on the derivative nonlinear Schrödinger equation. Zbl 1326.35361Wu, Yifei 24 2015 The Calderón problem for the fractional Schrödinger equation. Zbl 1439.35530Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther 23 2020 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 23 2012 Global well-posedness for the nonlinear Schrödinger equation with derivative in energy space. Zbl 1298.35207Wu, Yifei 22 2013 The wave equation on asymptotically anti de Sitter spaces. Zbl 1277.35014Vasy, András 22 2012 Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system. Zbl 1309.76053Barbato, David; Morandin, Francesco; Romito, Marco 22 2014 An inverse source problem in optical molecular imaging. Zbl 1171.35126Stefanov, Plamen; Uhlmann, Gunther 21 2008 A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment. Zbl 1405.35206Figalli, Alessio; Kang, Moon-Jin 21 2019 Bilinear forms on the Dirichlet space. Zbl 1262.30066Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric; Wick, Brett D. 21 2010 The corona theorem for the Drury-Arveson Hardy space and other holomorphic Besov-Sobolev spaces on the unit ball in \(\mathbb C^{n}\). Zbl 1264.32004Costea, Şerban; Sawyer, Eric T.; Wick, Brett D. 21 2011 A vector field method approach to improved decay for solutions to the wave equation on a slowly rotating Kerr black hole. Zbl 1267.83065Luk, Jonathan 21 2012 Global well-posedness and scattering for the defocusing quintic NLS in three dimensions. Zbl 1264.35219Killip, Rowan; Vişan, Monica 21 2012 Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems. Zbl 1347.35117Bulíček, Miroslav; Diening, Lars; Schwarzacher, Sebastian 20 2016 Heat-flow monotonicity of Strichartz norms. Zbl 1190.35043Bennett, Jonathan; Bez, Neal; Carbery, Anthony; Hundertmark, Dirk 20 2009 Instability theory of the Navier-Stokes-Poisson equations. Zbl 1284.35317Jang, Juhi; Tice, Ian 20 2013 Regularity of weak solutions of a complex Monge-Ampère equation. Zbl 1264.32019Székelyhidi, Gábor; Tosatti, Valentino 20 2011 Nonradial type II blow-up for the energy-supercritical semilinear heat equation. Zbl 1372.35153Collot, Charles 20 2017 Pseudoparabolic regularization of forward-backward parabolic equations: a logarithmic nonlinearity. Zbl 1284.35121Bertsch, Michiel; Smarrazzo, Flavia; Tesei, Alberto 20 2013 Stability for strongly coupled critical elliptic systems in a fully inhomogeneous medium. Zbl 1208.58025Druet, Olivier; Hebey, Emmanuel 19 2009 On the unconditional uniqueness of solutions to the infinite radial Chern-Simons-Schrödinger hierarchy. Zbl 1307.35273Chen, Xuwen; Smith, Paul 19 2014 Rigidity of minimizers in nonlocal phase transitions. Zbl 1391.35145Savin, Ovidiu 19 2018 Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue. Zbl 1282.35099Andrews, Ben; Clutterbuck, Julie 19 2013 Multiple vector-valued inequalities via the helicoidal method. Zbl 1361.42005Benea, Cristina; Muscalu, Camil 19 2016 Stochastic homogenization of viscous Hamilton-Jacobi equations and applications. Zbl 1320.35033Armstrong, Scott N.; Tran, Hung V. 19 2014 \(L^p\) estimates for the Hilbert transforms along a one-variable vector field. Zbl 1285.42014Bateman, Michael; Thiele, Christoph 19 2013 Porous media: The Muskat problem in three dimensions. Zbl 1273.35221Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco 18 2013 Poisson statistics for eigenvalues of continuum random Schrödinger operators. Zbl 1227.82034Combes, Jean-Michel; Germinet, François; Klein, Abel 18 2010 A natural lower bound for the size of nodal sets. Zbl 1329.35224Hezari, Hamid; Sogge, Christopher D. 18 2012 Geometric control condition for the wave equation with a time-dependent observation domain. Zbl 1391.35254Le Rousseau, Jérôme; Lebeau, Gilles; Terpolilli, Peppino; Trélat, Emmanuel 18 2017 Dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations: mass transfer in systems with solitons and degenerate neutral modes. Zbl 1175.35136Gang, Zhou; Weinstein, Michael I. 17 2008 An improved lower bound on the size of Kakeya sets over finite fields. Zbl 1335.42017Saraf, Shubhangi; Sudan, Madhu 17 2008 A second order estimate for general complex Hessian equations. Zbl 1353.32024Phong, Duong; Picard, Sebastien; Zhang, Xiangwen 17 2016 A geometric tangential approach to sharp regularity for degenerate evolution equations. Zbl 1295.35296Teixeira, Eduardo V.; Urbano, José Miguel 17 2014 Embeddings of infinitely connected planar domains into \(\mathbb C^2\). Zbl 1277.32009Forstnerič, Franc; Wold, Erlend Fornæss 17 2013 The inverse conjecture for the Gowers norm over finite fields via the correspondence principle. Zbl 1252.11012Tao, Terence; Ziegler, Tamar 17 2010 Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients. Zbl 1351.35014Nadin, Grégoire; Rossi, Luca 17 2015 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 17 2017 A topological join construction and the Toda system on compact surfaces of arbitrary genus. Zbl 1336.35152Jevnikar, Aleks; Kallel, Sadok; Malchiodi, Andrea 17 2015 A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus. Zbl 1284.35067Faou, Erwan; Grébert, Benoît 17 2013 Noncommutative variations on Laplace’s equation. Zbl 1159.58005Rosenberg, Jonathan 16 2008 Sharp global estimates for local and nonlocal porous medium-type equations in bounded domains. Zbl 1443.35067Bonforte, Matteo; Figalli, Alessio; Vázquez, Juan Luis 16 2018 The Muskat problem in two dimensions: equivalence of formulations, well-posedness, and regularity results. Zbl 1402.35319Matioc, Bogdan-Vasile 16 2019 Bilinear Hilbert transforms along curves, I: The monomial case. Zbl 1275.42022Li, Xiaochun 16 2013 Growth of Sobolev norms for the quintic NLS on \(\mathbb T^2\). Zbl 1322.35126Haus, Emanuele; Procesi, Michela 16 2015 Focusing quantum many-body dynamics. II: The rigorous derivation of the 1D focusing cubic nonlinear Schrödinger equation from 3D. Zbl 1368.35245Chen, Xuwen; Holmer, Justin 16 2017 The Fuglede conjecture holds in \(\mathbb{Z}_p\times \mathbb{Z}_p\). Zbl 1361.05014Iosevich, Alexander; Mayeli, Azita; Pakianathan, Jonathan 16 2017 The global stability of the Minkowski spacetime solution to the Einstein-nonlinear system in wave coordinates. Zbl 1298.35225Speck, Jared 15 2014 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 15 2018 A complete study of the lack of compactness and existence results of a fractional Nirenberg equation via a flatness hypothesis. I. Zbl 1366.35211Abdelhedi, Wael; Chtioui, Hichem; Hajaiej, Hichem 15 2016 Stabilization for the semilinear wave equation with geometric control condition. Zbl 1329.35062Joly, Romain; Laurent, Camille 15 2013 Polynomials with no zeros on the bidisk. Zbl 1226.42019Knese, Greg 15 2010 Non-Weyl resonance asymptotics for quantum graphs. Zbl 1268.34056Davies, E. Brian; Pushnitski, Alexander 15 2011 Existence theorems of the fractional Yamabe problem. Zbl 1377.53056Kim, Seunghyeok; Musso, Monica; Wei, Juncheng 15 2018 On small energy stabilization in the NLS with a trapping potential. Zbl 1326.35335Cuccagna, Scipio; Maeda, Masaya 15 2015 Analysis of the linear sampling method for imaging penetrable obstacles in the time domain. Zbl 1467.35343Cakoni, Fioralba; Monk, Peter; Selgas, Virginia 2 2021 Variations of a class of Monge-Ampère-type functionals and their applications. Zbl 07365579Chen, Haodi; Chen, Shibing; Li, Qi-Rui 1 2021 \(L^2\)-boundedness of gradients of single-layer potentials and uniform rectifiability. Zbl 07365580Prat, Laura; Puliatti, Carmelo; Tolsa, Xavier 1 2021 Local and global estimates for hyperbolic equations in Besov-Lipschitz and Triebel-Lizorkin spaces. Zbl 1467.35373Israelsson, Anders; Rodríguez-López, Salvador; Staubach, Wolfgang 1 2021 The Calderón problem for the fractional Schrödinger equation. Zbl 1439.35530Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther 23 2020 Infinite-time blow-up for the 3-dimensional energy-critical heat equation. Zbl 1435.35081del Pino, Manuel; Musso, Monica; Wei, Juncheng 11 2020 Regularity estimates for elliptic nonlocal operators. Zbl 1437.35175Dyda, Bartłomiej; Kassmann, Moritz 9 2020 On the existence of translating solutions of mean curvature flow in slab regions. Zbl 1443.53053Bourni, Theodora; Langford, Mat; Tinaglia, Giuseppe 8 2020 Regularity results for generalized double phase functionals. Zbl 07271830Byun, Sun-Sig; Oh, Jehan 6 2020 On the trace operator for functions of bounded \(\mathbb{A} \)-variation. Zbl 1450.46017Breit, Dominic; Diening, Lars; Gmeineder, Franz 5 2020 New formulas for the Laplacian of distance functions and applications. Zbl 1462.49031Cavalletti, Fabio; Mondino, Andrea 4 2020 Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds. Zbl 1436.35340Beltran, David; Hickman, Jonathan; Sogge, Christopher D. 4 2020 Sharp Strichartz inequalities for fractional and higher-order Schrödinger equations. Zbl 1435.35015Brocchi, Gianmarco; Oliveira e Silva, Diogo; Quilodrán, René 4 2020 A bootstrapping approach to jump inequalities and their applications. Zbl 1437.42023Mirek, Mariusz; Stein, Elias M.; Zorin-Kranich, Pavel 4 2020 On the sharp upper bound related to the weak Muckenhoupt-Wheeden conjecture. Zbl 1451.42029Lerner, Andrei K.; Nazarov, Fedor; Ombrosi, Sheldy 4 2020 On the regularity of minimizers for scalar integral functionals with \((p,q)\)-growth. Zbl 1460.49027Bella, Peter; Schäffner, Mathias 3 2020 On solvability and ill-posedness of the compressible Euler system subject to stochastic forces. Zbl 1435.35289Breit, Dominic; Feireisl, Eduard; Hofmanová, Martina 3 2020 Uniform Sobolev estimates for Schrödinger operators with scaling-critical potentials and applications. Zbl 1452.35128Mizutani, Haruya 3 2020 A proof of the instability of AdS for the Einstein-null dust system with an inner mirror. Zbl 1452.83009Moschidis, Georgios 3 2020 Evanescent ergosurface instability. Zbl 1454.35379Keir, Joe 3 2020 A vector field method for radiating black hole spacetimes. Zbl 1437.35088Oliver, Jesús; Sterbenz, Jacob 2 2020 Stable ODE-type blowup for some quasilinear wave equations with derivative-quadratic nonlinearities. Zbl 1439.35094Speck, Jared 2 2020 A well-posedness result for viscous compressible fluids with only bounded density. Zbl 1434.35046Danchin, Raphaël; Fanelli, Francesco; Paicu, Marius 2 2020 On the Hölder continuous subsolution problem for the complex Monge-Ampère equation. II. Zbl 1442.32045Nguyen, Ngoc Cuong 2 2020 Distance graphs and sets of positive upper density in \(\mathbb{R}^d\). Zbl 07190788Lyall, Neil; Magyar, Ákos 2 2020 Isolated singularities for semilinear elliptic systems with power-law nonlinearity. Zbl 1455.35102Ghergu, Marius; Kim, Sunghan; Shahgholian, Henrik 2 2020 On the discrete Fuglede and Pompeiu problems. Zbl 07190791Kiss, Gergely; Malikiosis, Romanos Diogenes; Somlai, Gábor; Vizer, Máté 2 2020 Almost-sure scattering for the radial energy-critical nonlinear wave equation in three dimensions. Zbl 1442.35259Bringmann, Bjoern 2 2020 Spectral stability of inviscid columnar vortices. Zbl 1454.35267Gallay, Thierry; Smets, Didier 2 2020 Scattering for defocusing energy subcritical nonlinear wave equations. Zbl 1459.35290Dodson, Benjamin; Lawrie, Andrew; Mendelson, Dana; Murphy, Jason 1 2020 Nuclear dimension of simple stably projectionless \(C^\ast\)-algebras. Zbl 07324215Castillejos, Jorge; Evington, Samuel 1 2020 Propagation properties of reaction-diffusion equations in periodic domains. Zbl 1467.35203Ducasse, Romain 1 2020 Absence of Cartan subalgebras for right-angled Hecke von Neumann algebras. Zbl 1447.46047Caspers, Martijn 1 2020 Asymptotic expansions of fundamental solutions in parabolic homogenization. Zbl 1437.35039Geng, Jun; Shen, Zhongwei 1 2020 Optimal constants for a nonlocal approximation of Sobolev norms and total variation. Zbl 1435.26008Antonucci, Clara; Gobbino, Massimo; Migliorini, Matteo; Picenni, Nicola 1 2020 On the gap between the gamma-limit and the pointwise limit for a nonlocal approximation of the total variation. Zbl 1444.49008Antonucci, Clara; Gobbino, Massimo; Picenni, Nicola 1 2020 Energy conservation for the compressible Euler and Navier-Stokes equations with vacuum. Zbl 1437.35552Akramov, Ibrokhimbek; Dębiec, Tomasz; Skipper, Jack; Wiedemann, Emil 1 2020 Convex projective surfaces with compatible Weyl connection are hyperbolic. Zbl 07221197Mettler, Thomas; Paternain, Gabriel P. 1 2020 Strichartz estimates for the Schrödinger flow on compact Lie groups. Zbl 1445.58010Zhang, Yunfeng 1 2020 When does a perturbed Moser-Trudinger inequality admit an extremal? Zbl 1452.35009Thizy, Pierre-Damien 1 2020 Well-posedness of the hydrostatic Navier-Stokes equations. Zbl 1451.35109Gérard-Varet, David; Masmoudi, Nader; Vicol, Vlad 1 2020 Sharp variation-norm estimates for oscillatory integrals related to Carleson’s theorem. Zbl 1452.42010Guo, Shaoming; Roos, Joris; Yung, Po-Lam 1 2020 Global existence for the derivative nonlinear Schrödinger equation with arbitrary spectral singularities. Zbl 1451.35186Jenkins, Robert; Liu, Jiaqi; Perry, Peter; Sulem, Catherine 1 2020 Sharpening the triangle inequality: envelopes between \(L^2\) and \(L^p\) spaces. Zbl 1451.42022Ivanisvili, Paata; Mooney, Connor 1 2020 Boundary value problems for second-order elliptic operators with complex coefficients. Zbl 1458.35153Dindoš, Martin; Pipher, Jill 1 2020 Gross-Pitaevskii dynamics for Bose-Einstein condensates. Zbl 1414.35184Brennecke, Christian; Schlein, Benjamin 24 2019 A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment. Zbl 1405.35206Figalli, Alessio; Kang, Moon-Jin 21 2019 The Muskat problem in two dimensions: equivalence of formulations, well-posedness, and regularity results. Zbl 1402.35319Matioc, Bogdan-Vasile 16 2019 A unified flow approach to smooth, even \(L_p\)-Minkowski problems. Zbl 1401.53048Bryan, Paul; Ivaki, Mohammad N.; Scheuer, Julian 13 2019 Classification of positive singular solutions to a nonlinear biharmonic equation with critical exponent. Zbl 1421.35150Frank, Rupert L.; König, Tobias 12 2019 Long time behavior of the master equation in mean field game theory. Zbl 1428.35607Cardaliaguet, Pierre; Porretta, Alessio 11 2019 Global well-posedness for the two-dimensional Muskat problem with slope less than 1. Zbl 1403.35127Cameron, Stephen 11 2019 Monotonicity and local uniqueness for the Helmholtz equation. Zbl 1423.35443Harrach, Bastian; Pohjola, Valter; Salo, Mikko 10 2019 Dimensional crossover with a continuum of critical exponents for NLS on doubly periodic metric graphs. Zbl 1414.35202Adami, Riccardo; Dovetta, Simone; Serra, Enrico; Tilli, Paolo 10 2019 On the dimension and smoothness of radial projections. Zbl 1405.28011Orponen, Tuomas 10 2019 Solutions of the 4-species quadratic reaction-diffusion system are bounded and \(C^\infty\)-smooth, in any space dimension. Zbl 1423.35164Caputo, M. Cristina; Goudon, Thierry; Vasseur, Alexis F. 9 2019 Sparse bounds for the discrete cubic Hilbert transform. Zbl 1446.42001Culiuc, Amalia; Kesler, Robert; Lacey, Michael T. 9 2019 Two-dimensional gravity water waves with constant vorticity. I: Cubic lifespan. With appendices by Mihaela Ifrim and Daniel Tataru. Zbl 1403.35238Ifrim, Mihaela; Tataru, Daniel 9 2019 Complex interpolation and Calderón-Mityagin couples of Morrey spaces. Zbl 1435.46018Mastyło, Mieczysław; Sawano, Yoshihiro 7 2019 Unstable normalized standing waves for the space periodic NLS. Zbl 1405.35191Ackermann, Nils; Weth, Tobias 6 2019 Boundary behavior of solutions to the parabolic \(p\)-Laplace equation. Zbl 1394.35211Avelin, Benny; Kuusi, Tuomo; Nyström, Kaj 5 2019 Coupled Kähler-Ricci solitons on toric Fano manifolds. Zbl 07143410Hultgren, Jakob 5 2019 On the cost of observability in small times for the one-dimensional heat equation. Zbl 1417.35051Dardé, Jérémi; Ervedoza, Sylvain 5 2019 Commutators of multiparameter flag singular integrals and applications. Zbl 1405.42041Duong, Xuan Thinh; Li, Ji; Ou, Yumeng; Pipher, Jill; Wick, Brett D. 5 2019 Global geometry and \(C^1\) convex extensions of 1-jets. Zbl 1403.26009Azagra, Daniel; Mudarra, Carlos 5 2019 Square function estimates, the BMO Dirichlet problem, and absolute continuity of harmonic measure on lower-dimensional sets. Zbl 1432.35074Mayboroda, Svitlana; Zhao, Zihui 4 2019 Discretely self-similar solutions to the Navier-Stokes equations with data in \(L_{\text{loc}}^2\) satisfying the local energy inequality. Zbl 1431.35100Bradshaw, Zachary; Tsai, Tai-Peng 4 2019 Alexandrov’s theorem revisited. Zbl 1418.35205Delgadino, Matias Gonzalo; Maggi, Francesco 4 2019 A viscosity approach to the Dirichlet problem for degenerate complex Hessian-type equations. Zbl 1403.35101Dinew, Sławomir; Do, Hoang-Son; Tô, Tat Dat 4 2019 Concentration of ground states in stationary mean-field games systems. Zbl 1404.35155Cesaroni, Annalisa; Cirant, Marco 4 2019 Generalized crystalline evolutions as limits of flows with smooth anisotropies. Zbl 1403.53055Chambolle, Antonin; Morini, Massimiliano; Novaga, Matteo; Ponsiglione, Marcello 4 2019 On the stability of type II blowup for the 1-corotational energy-supercritical harmonic heat flow. Zbl 1397.35129Ghoul, Tej-eddine; Ibrahim, Slim; Nguyen, Van Tien 3 2019 Tangent measures of elliptic measure and applications. Zbl 07143406Azzam, Jonas; Mourgoglou, Mihalis 3 2019 On the Luzin \(N\)-property and the uncertainty principle for Sobolev mappings. Zbl 1406.26006Ferone, Adele; Korobkov, Mikhail V.; Roviello, Alba 3 2019 Scale-invariant Fourier restriction to a hyperbolic surface. Zbl 1405.42028Stovall, Betsy 3 2019 Resolvent estimates for spacetimes bounded by Killing horizons. Zbl 06974522Gannot, Oran 3 2019 Interpolation by conformal minimal surfaces and directed holomorphic curves. Zbl 1402.53005Alarcón, Antonio; Castro-Infantes, Ildefonso 3 2019 The BMO-Dirichlet problem for elliptic systems in the upper half-space and quantitative characterizations of VMO. Zbl 1408.35029Martell, José María; Mitrea, Dorina; Mitrea, Irina; Mitrea, Marius 3 2019 On asymptotic dynamics for \(L^2\) critical generalized KdV equations with a saturated perturbation. 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Zbl 1392.35202Albritton, Dallas 12 2018 ...and 420 more Documents all cited Publications top 5 cited Publications 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. 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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) Citations by Year