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: 635 Publications (since 2008) References Indexed: 222 Publications with 6,628 References. all top 5 Latest Issues 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 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 D. 3 Andrews, Ben 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 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 Rubinstein, Yanir A. 3 Shao, Shuanglin 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 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 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 Forstnerič, Franc 2 Frank, Rupert L. 2 Gallay, Thierry 2 Gérard-Varet, David 2 Germain, Pierre 2 Germinet, François 2 Ghoul, Tej-Eddine 2 Ghoussoub, Nassif A. 2 Giacomini, Alessandro 2 Gobbino, Massimo ...and 898 more Authors all top 5 Fields 458 Partial differential equations (35-XX) 95 Global analysis, analysis on manifolds (58-XX) 79 Harmonic analysis on Euclidean spaces (42-XX) 65 Differential geometry (53-XX) 60 Operator theory (47-XX) 49 Functional analysis (46-XX) 45 Fluid mechanics (76-XX) 38 Dynamical systems and ergodic theory (37-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 36 Quantum theory (81-XX) 34 Several complex variables and analytic spaces (32-XX) 25 Probability theory and stochastic processes (60-XX) 18 Measure and integration (28-XX) 18 Relativity and gravitational theory (83-XX) 16 Real functions (26-XX) 16 Potential theory (31-XX) 16 Statistical mechanics, structure of matter (82-XX) 12 Number theory (11-XX) 11 Functions of a complex variable (30-XX) 10 Combinatorics (05-XX) 9 Mechanics of deformable solids (74-XX) 8 Convex and discrete geometry (52-XX) 8 Systems theory; control (93-XX) 7 Integral transforms, operational calculus (44-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Group theory and generalizations (20-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 Approximations and expansions (41-XX) 3 Astronomy and astrophysics (85-XX) 3 Biology and other natural sciences (92-XX) 2 Ordinary differential equations (34-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 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 563 Publications have been cited 5,897 times in 4,847 Documents Cited by ▼ Year ▼ Sharp weighted bounds involving \(A_\infty\). Zbl 1283.42032Hytönen, Tuomas; Pérez, Carlos 114 2013 Uniqueness of ground states for pseudorelativistic Hartree equations. Zbl 1183.35266Lenzmann, Enno 94 2009 Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum. Zbl 1366.35215Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico 81 2015 Scattering threshold for the focusing nonlinear Klein-Gordon equation. Zbl 1270.35132Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji 67 2011 Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation. Zbl 1190.35177Tao, Terence 64 2009 Nonlocal self-improving properties. Zbl 1317.35284Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick 58 2015 Fractional conformal Laplacians and fractional Yamabe problems. Zbl 1287.35039del Mar González, María; Qing, Jie 57 2013 The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher. Zbl 1171.35111Killip, Rowan; Visan, Monica; Zhang, Xiaoyi 56 2008 A priori estimates for complex Hessian equations. Zbl 1297.32020Dinew, Sławomir; Kołodziej, Sławomir 51 2014 Local well-posedness of the viscous surface wave problem without surface tension. Zbl 1273.35209Guo, Yan; Tice, Ian 49 2013 Sharp weighted norm estimates beyond Calderón-Zygmund theory. Zbl 1344.42009Bernicot, Frédéric; Frey, Dorothee; Petermichl, Stefanie 48 2016 Decay of viscous surface waves without surface tension in horizontally infinite domains. Zbl 1292.35206Guo, Yan; Tice, Ian 46 2013 On the Bogolyubov-Ruzsa lemma. Zbl 1320.11009Sanders, Tom 46 2012 The Calderón problem with partial data on manifolds and applications. Zbl 1335.35301Kenig, Carlos; Salo, Mikko 43 2013 Well-posedness of Lagrangian flows and continuity equations in metric measure spaces. Zbl 1357.49058Ambrosio, Luigi; Trevisan, Dario 43 2014 The Cauchy problem for the Benjamin-Ono equation in \(L^{2}\) revisited. Zbl 1273.35096Molinet, Luc; Pilod, Didier 43 2012 Local and nonlocal boundary conditions for \(\mu\)-transmission and fractional elliptic pseudodifferential operators. Zbl 1317.35310Grubb, Gerd 42 2014 Three-term commutator estimates and the regularity of \(^{1}/_{2}\)-harmonic maps into spheres. Zbl 1241.35035Da Lio, Francesca; Rivière, Tristan 42 2011 Reducibility of the quantum harmonic oscillator in \(d\)-dimensions with polynomial time-dependent perturbation. Zbl 1386.35059Bambusi, Dario; Grébert, Benoît; Maspero, Alberto; Robert, Didier 41 2018 Regularity for parabolic integro-differential equations with very irregular kernels. Zbl 1349.47079Schwab, Russell W.; Silvestre, Luis 40 2016 A sparse domination principle for rough singular integrals. Zbl 1392.42011Conde-Alonso, José M.; Culiuc, Amalia; Di Plinio, Francesco; Ou, Yumeng 39 2017 Effective integrable dynamics for a certain nonlinear wave equation. Zbl 1268.35013Gérard, Patrick; Grellier, Sandrine 39 2012 Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation. Zbl 1329.35207Hillairet, Matthieu; Raphaël, Pierre 37 2012 Semilinear wave equations on asymptotically de Sitter, Kerr-de Sitter and Minkowski spacetimes. Zbl 1336.35244Hintz, Peter; Vasy, András 35 2015 A vector field method for relativistic transport equations with applications. Zbl 1373.35046Fajman, David; Joudioux, Jérémie; Smulevici, Jacques 33 2017 Gross-Pitaevskii dynamics for Bose-Einstein condensates. Zbl 1414.35184Brennecke, Christian; Schlein, Benjamin 32 2019 Sharp polynomial decay rates for the damped wave equation on the torus. Zbl 1295.35075Anantharaman, Nalini; Léautaud, Matthieu 32 2014 Boundary estimates in elliptic homogenization. Zbl 1368.35028Shen, Zhongwei 32 2017 Quasimodes and a lower bound on the uniform energy decay rate for Kerr-AdS spacetimes. Zbl 1300.83030Holzegel, Gustav; Smulevici, Jacques 31 2014 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 31 2014 Ground states of large bosonic systems: the Gross-Pitaevskii limit revisited. Zbl 1342.35284Phan Thánh Nam; Rougerie, Nicolas; Seiringer, Robert 31 2016 Vanishing viscosity plane parallel channel flow and related singular perturbation problems. Zbl 1160.35329Mazzucato, Anna; Taylor, Michael 31 2008 The Calderón problem for the fractional Schrödinger equation. Zbl 1439.35530Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther 31 2020 On the global well-posedness of energy-critical Schrödinger equations in curved spaces. Zbl 1264.35215Ionescu, Alexandru D.; Pausader, Benoit; Staffilani, Gigliola 30 2012 Two-dimensional nonlinear Schrödinger equation with random radial data. Zbl 1264.35212Deng, Yu 30 2012 Ricci flow on surfaces with conic singularities. Zbl 1322.53070Mazzeo, Rafe; Rubinstein, Yanir A.; Sesum, Natasa 30 2015 Restriction and spectral multiplier theorems on asymptotically conic manifolds. Zbl 1293.35187Guillarmou, Colin; Hassell, Andrew; Sikora, Adam 30 2013 Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026Han, Yongsheng; Lu, Guozhen; Sawyer, Eric 29 2014 The wave equation on asymptotically anti de Sitter spaces. Zbl 1277.35014Vasy, András 29 2012 The Hartree equation for infinitely many particles. II: Dispersion and scattering in 2D. Zbl 1301.35122Lewin, Mathieu; Sabin, Julien 28 2014 Decay of linear waves on higher-dimensional Schwarzschild black holes. Zbl 1326.35382Schlue, Volker 28 2013 A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment. Zbl 1405.35206Figalli, Alessio; Kang, Moon-Jin 27 2019 Characterisation of the energy of Gaussian beams on Lorentzian manifolds: with applications to black hole spacetimes. Zbl 1343.35229Sbierski, Jan 27 2015 Classification of blowup limits for \(\mathrm{SU}(3)\) singular Toda systems. Zbl 1322.35038Lin, Chang-Shou; Wei, Jun-Cheng; Zhang, Lei 27 2015 Global well-posedness of slightly supercritical active scalar equations. Zbl 1294.35092Dabkowski, Michael; Kiselev, Alexander; Silvestre, Luis; Vicol, Vlad 26 2014 Global well-posedness on the derivative nonlinear Schrödinger equation. Zbl 1326.35361Wu, Yifei 26 2015 Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system. Zbl 1309.76053Barbato, David; Morandin, Francesco; Romito, Marco 26 2014 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 The geodesic X-ray transform with fold caustics. Zbl 1271.53070Stefanov, Plamen; Uhlmann, Gunther 26 2012 Existence of extremals for a Fourier restriction inequality. Zbl 1273.42009Christ, Michael; Shao, Shuanglin 26 2012 Multiple vector-valued inequalities via the helicoidal method. Zbl 1361.42005Benea, Cristina; Muscalu, Camil 25 2016 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 25 2012 The Muskat problem in two dimensions: equivalence of formulations, well-posedness, and regularity results. Zbl 1402.35319Matioc, Bogdan-Vasile 24 2019 Global well-posedness for the nonlinear Schrödinger equation with derivative in energy space. Zbl 1298.35207Wu, Yifei 24 2013 Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients. Zbl 1351.35014Nadin, Grégoire; Rossi, Luca 23 2015 Global well-posedness of the MHD equations in a homogeneous magnetic field. Zbl 1368.76077Wei, Dongyi; Zhang, Zhifei 23 2017 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. 23 2011 An inverse source problem in optical molecular imaging. Zbl 1171.35126Stefanov, Plamen; Uhlmann, Gunther 23 2008 A geometric tangential approach to sharp regularity for degenerate evolution equations. Zbl 1295.35296Teixeira, Eduardo V.; Urbano, José Miguel 22 2014 Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue. Zbl 1282.35099Andrews, Ben; Clutterbuck, Julie 22 2013 Instability theory of the Navier-Stokes-Poisson equations. Zbl 1284.35317Jang, Juhi; Tice, Ian 22 2013 A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus. Zbl 1284.35067Faou, Erwan; Grébert, Benoît 22 2013 Stability for strongly coupled critical elliptic systems in a fully inhomogeneous medium. Zbl 1208.58025Druet, Olivier; Hebey, Emmanuel 22 2009 Global well-posedness and scattering for the defocusing quintic NLS in three dimensions. Zbl 1264.35219Killip, Rowan; Vişan, Monica 22 2012 Nonradial type II blow-up for the energy-supercritical semilinear heat equation. Zbl 1372.35153Collot, Charles 22 2017 Heat-flow monotonicity of Strichartz norms. Zbl 1190.35043Bennett, Jonathan; Bez, Neal; Carbery, Anthony; Hundertmark, Dirk 21 2009 \(L^p\) estimates for the Hilbert transforms along a one-variable vector field. Zbl 1285.42014Bateman, Michael; Thiele, Christoph 21 2013 Pseudoparabolic regularization of forward-backward parabolic equations: a logarithmic nonlinearity. Zbl 1284.35121Bertsch, Michiel; Smarrazzo, Flavia; Tesei, Alberto 21 2013 Geometric control condition for the wave equation with a time-dependent observation domain. Zbl 1391.35254Le Rousseau, Jérôme; Lebeau, Gilles; Terpolilli, Peppino; Trélat, Emmanuel 21 2017 Bilinear forms on the Dirichlet space. Zbl 1262.30066Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric; Wick, Brett D. 21 2010 Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems. Zbl 1347.35117Bulíček, Miroslav; Diening, Lars; Schwarzacher, Sebastian 21 2016 Regularity of weak solutions of a complex Monge-Ampère equation. Zbl 1264.32019Székelyhidi, Gábor; Tosatti, Valentino 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 Rigidity of minimizers in nonlocal phase transitions. Zbl 1391.35145Savin, Ovidiu 20 2018 On the unconditional uniqueness of solutions to the infinite radial Chern-Simons-Schrödinger hierarchy. Zbl 1307.35273Chen, Xuwen; Smith, Paul 20 2014 Stochastic homogenization of viscous Hamilton-Jacobi equations and applications. Zbl 1320.35033Armstrong, Scott N.; Tran, Hung V. 20 2014 Global-in-time Strichartz estimates on nontrapping, asymptotically conic manifolds. Zbl 1333.35226Hassell, Andrew; Zhang, Junyong 20 2016 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 20 2017 An improved lower bound on the size of Kakeya sets over finite fields. Zbl 1335.42017Saraf, Shubhangi; Sudan, Madhu 20 2008 Sharp global estimates for local and nonlocal porous medium-type equations in bounded domains. Zbl 1443.35067Bonforte, Matteo; Figalli, Alessio; Vázquez, Juan Luis 20 2018 Power spectrum of the geodesic flow on hyperbolic manifolds. Zbl 1371.37056Dyatlov, Semyon; Faure, Frédéric; Guillarmou, Colin 20 2015 Bilinear Hilbert transforms along curves, I: The monomial case. Zbl 1275.42022Li, Xiaochun 20 2013 The Fuglede conjecture holds in \(\mathbb{Z}_p\times \mathbb{Z}_p\). Zbl 1361.05014Iosevich, Alexander; Mayeli, Azita; Pakianathan, Jonathan 19 2017 Poisson statistics for eigenvalues of continuum random Schrödinger operators. Zbl 1227.82034Combes, Jean-Michel; Germinet, François; Klein, Abel 19 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. 19 2008 A natural lower bound for the size of nodal sets. Zbl 1329.35224Hezari, Hamid; Sogge, Christopher D. 19 2012 Porous media: The Muskat problem in three dimensions. Zbl 1273.35221Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco 19 2013 A unified flow approach to smooth, even \(L_p\)-Minkowski problems. Zbl 1401.53048Bryan, Paul; Ivaki, Mohammad N.; Scheuer, Julian 18 2019 Stabilization for the semilinear wave equation with geometric control condition. Zbl 1329.35062Joly, Romain; Laurent, Camille 18 2013 Fuglede’s spectral set conjecture for convex polytopes. Zbl 1377.42014Greenfeld, Rachel; Lev, Nir 18 2017 The inverse conjecture for the Gowers norm over finite fields via the correspondence principle. Zbl 1252.11012Tao, Terence; Ziegler, Tamar 18 2010 A second order estimate for general complex Hessian equations. Zbl 1353.32024Phong, Duong; Picard, Sebastien; Zhang, Xiangwen 18 2016 Existence theorems of the fractional Yamabe problem. Zbl 1377.53056Kim, Seunghyeok; Musso, Monica; Wei, Juncheng 18 2018 Noncommutative variations on Laplace’s equation. Zbl 1159.58005Rosenberg, Jonathan 18 2008 Global well-posedness for the two-dimensional Muskat problem with slope less than 1. Zbl 1403.35127Cameron, Stephen 17 2019 The inverse problem for the Dirichlet-to-Neumann map on Lorentzian manifolds. Zbl 1391.35426Stefanov, Plamen; Yang, Yang 17 2018 On small energy stabilization in the NLS with a trapping potential. Zbl 1326.35335Cuccagna, Scipio; Maeda, Masaya 17 2015 Improvement of the energy method for strongly nonresonant dispersive equations and applications. Zbl 1330.35384Molinet, Luc; Vento, Stéphane 17 2015 Convergence rates and Hölder estimates in almost-periodic homogenization of elliptic systems. Zbl 1327.35025Shen, Zhongwei 17 2015 Nonlinear spectral decompositions by gradient flows of one-homogeneous functionals. Zbl 07365582Bungert, Leon; Burger, Martin; Chambolle, Antonin; Novaga, Matteo 5 2021 The Schauder estimate for kinetic integral equations. Zbl 1467.35069Imbert, Cyril; Silvestre, Luis 5 2021 The stability of the Minkowski space for the Einstein-Vlasov system. Zbl 1476.83007Fajman, David; Joudioux, Jérémie; Smulevici, Jacques 5 2021 Analysis of the linear sampling method for imaging penetrable obstacles in the time domain. Zbl 1467.35343Cakoni, Fioralba; Monk, Peter; Selgas, Virginia 3 2021 Variations of a class of Monge-Ampère-type functionals and their applications. Zbl 1468.35047Chen, Haodi; Chen, Shibing; Li, Qi-Rui 3 2021 Stable self-similar blow-up for a family of nonlocal transport equations. Zbl 1472.35277Elgindi, Tarek M.; Ghoul, Tej-Eddine; Masmoudi, Nader 3 2021 Singularities generated by the triple interaction of semilinear conormal waves. Zbl 1467.35010Sá Barreto, Antônio; Wang, Yiran 3 2021 Sign-changing solutions for critical equations with Hardy potential. Zbl 1473.35290Esposito, Pierpaolo; Ghoussoub, Nassif; Pistoia, Angela; Vaira, Giusi 3 2021 On an electromagnetic problem in a corner and its applications. Zbl 1480.78011Blåsten, Emilia; Liu, Hongyu; Xiao, Jingni 3 2021 \(L^2\)-boundedness of gradients of single-layer potentials and uniform rectifiability. Zbl 1473.35148Prat, Laura; Puliatti, Carmelo; Tolsa, Xavier 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 Translating solutions to the Gauss curvature flow with flat sides. Zbl 07403060Choi, Kyeongsu; Daskalopoulos, Panagiota; Lee, Ki-Ahm 2 2021 Quantitative estimates in stochastic homogenization for correlated coefficient fields. Zbl 07491048Gloria, Antoine; Neukamm, Stefan; Otto, Felix 2 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 Banach space actions and \(L^2\)-spectral gap. Zbl 1479.46014de Laat, Tim; de la Salle, Mikael 1 2021 Classical and microlocal analysis of the x-ray transform on Anosov manifolds. Zbl 1479.37028Gouëzel, Sébastien; Lefeuvre, Thibault 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 \(C^{1, \alpha}\)-regularity for variational problems in the Heisenberg group. Zbl 1473.35087Mukherjee, Shirsho; Zhong, Xiao 1 2021 Convergence rate in Wasserstein distance and semiclassical limit for the defocusing logarithmic Schrödinger equation. Zbl 1479.35787Ferriere, Guillaume 1 2021 Optimal asymptotic bounds for designs on manifolds. Zbl 1482.05030Gariboldi, Bianca; Gigante, Giacomo 1 2021 Brown-Halmos characterization of multi-Toeplitz operators associated with noncommutative polyhyperballs. Zbl 07413787Popescu, Gelu 1 2021 On the expected Betti numbers of the nodal set of random fields. Zbl 1481.60096Wigman, Igor 1 2021 Geometric quantization of coupled Kähler-Einstein metrics. Zbl 1478.32054Takahashi, Ryosuke 1 2021 Quantitative comparisons of multiscale geometric properties. Zbl 07413793Azzam, Jonas; Villa, Michele 1 2021 Equivariant property (SI) revisited. Zbl 07413801Szabó, Gábor 1 2021 Global existence and scattering for quadratic NLS with potential in three dimensions. Zbl 1483.35214Léger, Tristan 1 2021 Threshold dynamics for corotational wave maps. Zbl 07454710Rodriguez, Casey 1 2021 The stable trapping phenomenon for black strings and black rings and its obstructions on the decay of linear waves. Zbl 07491047Benomio, Gabriele 1 2021 Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields. Zbl 07491049Bruè, Elia; Nguyen, Quoc-Hung 1 2021 Global well-posedness for the defocussing mass-critical stochastic nonlinear Schrödinger equation on \(\mathbb{R}\) at \(L^2\) regularity. Zbl 07491050Fan, Chenjie; Xu, Weijun 1 2021 The Calderón problem for the fractional Schrödinger equation. Zbl 1439.35530Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther 31 2020 On the existence of translating solutions of mean curvature flow in slab regions. Zbl 1443.53053Bourni, Theodora; Langford, Mat; Tinaglia, Giuseppe 13 2020 Regularity results for generalized double phase functionals. Zbl 1477.49057Byun, Sun-Sig; Oh, Jehan 13 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 11 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. 9 2020 A proof of the instability of AdS for the Einstein-null dust system with an inner mirror. Zbl 1452.83009Moschidis, Georgios 9 2020 Energy conservation for the compressible Euler and Navier-Stokes equations with vacuum. Zbl 1437.35552Akramov, Ibrokhimbek; Dębiec, Tomasz; Skipper, Jack; Wiedemann, Emil 8 2020 On the trace operator for functions of bounded \(\mathbb{A} \)-variation. Zbl 1450.46017Breit, Dominic; Diening, Lars; Gmeineder, Franz 7 2020 Uniform Sobolev estimates for Schrödinger operators with scaling-critical potentials and applications. Zbl 1452.35128Mizutani, Haruya 7 2020 New formulas for the Laplacian of distance functions and applications. Zbl 1462.49031Cavalletti, Fabio; Mondino, Andrea 7 2020 On the regularity of minimizers for scalar integral functionals with \((p,q)\)-growth. Zbl 1460.49027Bella, Peter; Schäffner, Mathias 7 2020 On the Hölder continuous subsolution problem for the complex Monge-Ampère equation. II. Zbl 1442.32045Nguyen, Ngoc Cuong 6 2020 A bootstrapping approach to jump inequalities and their applications. Zbl 1437.42023Mirek, Mariusz; Stein, Elias M.; Zorin-Kranich, Pavel 6 2020 Distance graphs and sets of positive upper density in \(\mathbb{R}^d\). Zbl 1471.11025Lyall, Neil; Magyar, Ákos 5 2020 Almost-sure scattering for the radial energy-critical nonlinear wave equation in three dimensions. Zbl 1442.35259Bringmann, Bjoern 5 2020 On solvability and ill-posedness of the compressible Euler system subject to stochastic forces. Zbl 1435.35289Breit, Dominic; Feireisl, Eduard; Hofmanová, Martina 5 2020 On the sharp upper bound related to the weak Muckenhoupt-Wheeden conjecture. Zbl 1451.42029Lerner, Andrei K.; Nazarov, Fedor; Ombrosi, Sheldy 5 2020 On the discrete Fuglede and Pompeiu problems. Zbl 07190791Kiss, Gergely; Malikiosis, Romanos Diogenes; Somlai, Gábor; Vizer, Máté 4 2020 Sharp Strichartz inequalities for fractional and higher-order Schrödinger equations. Zbl 1435.35015Brocchi, Gianmarco; Oliveira e Silva, Diogo; Quilodrán, René 4 2020 Isolated singularities for semilinear elliptic systems with power-law nonlinearity. Zbl 1455.35102Ghergu, Marius; Kim, Sunghan; Shahgholian, Henrik 3 2020 Stability of small solitary waves for the one-dimensional NLS with an attractive delta potential. Zbl 1447.35299Masaki, Satoshi; Murphy, Jason; Segata, Jun-ichi 3 2020 A vector field method for radiating black hole spacetimes. Zbl 1437.35088Oliver, Jesús; Sterbenz, Jacob 3 2020 Stable ODE-type blowup for some quasilinear wave equations with derivative-quadratic nonlinearities. Zbl 1439.35094Speck, Jared 3 2020 A well-posedness result for viscous compressible fluids with only bounded density. 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Zbl 1405.42041Duong, Xuan Thinh; Li, Ji; Ou, Yumeng; Pipher, Jill; Wick, Brett D. 8 2019 ...and 463 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,427 Authors 37 Wei, Juncheng 22 Zheng, Jiqiang 21 Li, Kangwei 21 Miao, Changxing 20 Schikorra, Armin 18 Muñoz, Claudio 18 Schlein, Benjamin 18 Uhlmann, Gunther Alberto 17 Ambrosio, Vincenzo 17 Lacey, Michael T. 16 Kenig, Carlos Eduardo 16 Krieger, Joachim 16 Raphael, Pierre 16 Rivera-Ríos, Israel P. 16 Tice, Ian 16 Vasy, András 16 Wu, Jiahong 15 Dyatlov, Semyon 15 Oksanen, Lauri 15 Valdinoci, Enrico 15 Yamazaki, Kazuo 15 Zhang, Junyong 14 Dipierro, Serena 14 Jiang, Fei 14 Lassas, Matti J. 14 Merle, Frank 14 Pérez, Carlos 14 Sire, Yannick 14 Tzvetkov, Nikolay 13 Cuccagna, Scipio 13 Donninger, Roland 13 González, María del Mar 13 Guillarmou, Colin 13 Hofmann, Steve 13 Martell, José María (Chema) 13 Mayboroda, Svitlana 13 Montalto, Riccardo 13 Nakanishi, Kenji 13 Oh, Tadahiro 13 Seiringer, Robert 13 Soave, Nicola 13 Tao, Terence 13 Zworski, Maciej 12 Alarcón, Antonio 12 Dodson, Benjamin G. 12 Duyckaerts, Thomas 12 Frank, Rupert L. 12 Guo, Shaoming 12 Salo, Mikko 12 Sogge, Christopher D. 11 Aretakis, Stefanos 11 Dolbeault, Jean 11 Duong, Xuan Thinh 11 Galkowski, Jeffrey 11 Germain, Pierre 11 Hyder, Ali 11 Hytönen, Tuomas P. 11 Kim, Seunghyeok 11 Martel, Yvan 11 Musso, Monica 11 Ponce, Gustavo 11 Serfaty, Sylvia 11 Shvydkoy, Roman V. 11 Smulevici, Jacques 11 Stefanov, Plamen D. 11 Tesei, Alberto 11 Visciglia, Nicola 11 Wick, Brett D. 11 Xu, Guixiang 11 Yang, Minbo 11 Yang, Wen 11 Zhang, Zhifei 10 Angelopoulos, Yannis 10 Bove, Antonio 10 Chen, Peng 10 Choi, Woocheol 10 Dovetta, Simone 10 Feizmohammadi, Ali 10 Forstnerič, Franc 10 Gajic, Dejan 10 Guo, Zihua 10 Hani, Zaher 10 Hong, Younghun 10 Iosevich, Alex 10 Jiang, Song 10 Killip, Rowan 10 Kuusi, Tuomo 10 Lee, Sanghyuk 10 Lerner, Andrei K. 10 Lin, Chang-Shou 10 Lu, Guozhen 10 Maeda, Masaya 10 Monard, François 10 Mourgoglou, Mihalis 10 Mughetti, Marco 10 Murphy, Jason 10 Niu, Weisheng 10 Ombrosi, Sheldy Javier 10 Pausader, Benoît 10 Procesi, Michela ...and 4,327 more Authors all top 5 Cited in 386 Journals 264 Journal of Differential Equations 197 Journal of Functional Analysis 170 Communications in Mathematical Physics 164 Calculus of Variations and Partial Differential Equations 150 Advances in Mathematics 128 Nonlinear Analysis. 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Mathematics 16 Journal of Hyperbolic Differential Equations 16 Analysis and Mathematical Physics 16 Advances in Nonlinear Analysis 15 Communications on Pure and Applied Mathematics 15 Archiv der Mathematik 15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 15 Discrete and Continuous Dynamical Systems. Series S 15 Forum of Mathematics, Sigma 14 Journal of the American Mathematical Society 13 Chinese Annals of Mathematics. Series B 13 Applied Mathematics Letters 13 International Journal of Mathematics 13 Journal of Nonlinear Science 12 Classical and Quantum Gravity 12 Journal of the Institute of Mathematics of Jussieu 12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 12 Complex Analysis and Operator Theory 11 Mathematical Proceedings of the Cambridge Philosophical Society 11 Selecta Mathematica. New Series 10 Studia Mathematica 10 Journal de l’École Polytechnique – Mathématiques 10 Discrete Analysis 9 Mathematical Methods in the Applied Sciences 9 Manuscripta Mathematica 9 Results in Mathematics 9 SIAM Journal on Control and Optimization 9 Acta Applicandae Mathematicae 9 Asymptotic Analysis 9 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 9 Differential Geometry and its Applications 9 Bulletin of the American Mathematical Society. New Series 9 Discrete and Continuous Dynamical Systems. Series B 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Journal of the Mathematical Society of Japan 8 Quarterly of Applied Mathematics 8 Constructive Approximation 8 SIAM Journal on Applied Mathematics ...and 286 more Journals all top 5 Cited in 61 Fields 3,345 Partial differential equations (35-XX) 595 Harmonic analysis on Euclidean spaces (42-XX) 472 Global analysis, analysis on manifolds (58-XX) 465 Fluid mechanics (76-XX) 443 Differential geometry (53-XX) 431 Operator theory (47-XX) 392 Quantum theory (81-XX) 314 Functional analysis (46-XX) 255 Dynamical systems and ergodic theory (37-XX) 218 Calculus of variations and optimal control; optimization (49-XX) 202 Several complex variables and analytic spaces (32-XX) 183 Statistical mechanics, structure of matter (82-XX) 181 Probability theory and stochastic processes (60-XX) 174 Relativity and gravitational theory (83-XX) 141 Measure and integration (28-XX) 122 Real functions (26-XX) 112 Number theory (11-XX) 100 Systems theory; control (93-XX) 94 Numerical analysis (65-XX) 87 Functions of a complex variable (30-XX) 84 Ordinary differential equations (34-XX) 82 Potential theory (31-XX) 70 Integral transforms, operational calculus (44-XX) 69 Biology and other natural sciences (92-XX) 68 Optics, electromagnetic theory (78-XX) 64 Convex and discrete geometry (52-XX) 59 Combinatorics (05-XX) 56 Mechanics of deformable solids (74-XX) 54 Integral equations (45-XX) 50 Abstract harmonic analysis (43-XX) 39 Mechanics of particles and systems (70-XX) 32 Algebraic geometry (14-XX) 31 Astronomy and astrophysics (85-XX) 30 Topological groups, Lie groups (22-XX) 28 Information and communication theory, circuits (94-XX) 26 Group theory and generalizations (20-XX) 26 Geophysics (86-XX) 22 Manifolds and cell complexes (57-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Geometry (51-XX) 18 Special functions (33-XX) 18 Computer science (68-XX) 15 Classical thermodynamics, heat transfer (80-XX) 14 General topology (54-XX) 13 Difference and functional equations (39-XX) 13 Operations research, mathematical programming (90-XX) 10 Approximations and expansions (41-XX) 9 Statistics (62-XX) 8 Mathematical logic and foundations (03-XX) 8 Algebraic topology (55-XX) 7 General and overarching topics; collections (00-XX) 5 Associative rings and algebras (16-XX) 5 \(K\)-theory (19-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Nonassociative rings and algebras (17-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