## 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.
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### 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
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### 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)

### 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 1283.42032
Hytönen, Tuomas; Pérez, Carlos
2013
Uniqueness of ground states for pseudorelativistic Hartree equations. Zbl 1183.35266
Lenzmann, Enno
2009
Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum. Zbl 1366.35215
Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico
2015
Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation. Zbl 1190.35177
Tao, Terence
2009
Scattering threshold for the focusing nonlinear Klein-Gordon equation. Zbl 1270.35132
Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji
2011
Nonlocal self-improving properties. Zbl 1317.35284
Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick
2015
The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher. Zbl 1171.35111
Killip, Rowan; Visan, Monica; Zhang, Xiaoyi
2008
Fractional conformal Laplacians and fractional Yamabe problems. Zbl 1287.35039
del Mar González, María; Qing, Jie
2013
A priori estimates for complex Hessian equations. Zbl 1297.32020
Dinew, Sławomir; Kołodziej, Sławomir
2014
Local well-posedness of the viscous surface wave problem without surface tension. Zbl 1273.35209
Guo, Yan; Tice, Ian
2013
Decay of viscous surface waves without surface tension in horizontally infinite domains. Zbl 1292.35206
Guo, Yan; Tice, Ian
2013
Sharp weighted norm estimates beyond Calderón-Zygmund theory. Zbl 1344.42009
Bernicot, Frédéric; Frey, Dorothee; Petermichl, Stefanie
2016
Three-term commutator estimates and the regularity of $$^{1}/_{2}$$-harmonic maps into spheres. Zbl 1241.35035
Da Lio, Francesca; Rivière, Tristan
2011
Local and nonlocal boundary conditions for $$\mu$$-transmission and fractional elliptic pseudodifferential operators. Zbl 1317.35310
Grubb, Gerd
2014
A vector field method for relativistic transport equations with applications. Zbl 1373.35046
Fajman, David; Joudioux, Jérémie; Smulevici, Jacques
2017
On the Bogolyubov-Ruzsa lemma. Zbl 1320.11009
Sanders, Tom
2012
The Calderón problem with partial data on manifolds and applications. Zbl 1335.35301
Kenig, Carlos; Salo, Mikko
2013
A sparse domination principle for rough singular integrals. Zbl 1392.42011
Conde-Alonso, José M.; Culiuc, Amalia; Di Plinio, Francesco; Ou, Yumeng
2017
Semilinear wave equations on asymptotically de Sitter, Kerr-de Sitter and Minkowski spacetimes. Zbl 1336.35244
Hintz, Peter; Vasy, András
2015
The Cauchy problem for the Benjamin-Ono equation in $$L^{2}$$ revisited. Zbl 1273.35096
Molinet, Luc; Pilod, Didier
2012
Reducibility of the quantum harmonic oscillator in $$d$$-dimensions with polynomial time-dependent perturbation. Zbl 1386.35059
Bambusi, Dario; Grébert, Benoît; Maspero, Alberto; Robert, Didier
2018
Well-posedness of Lagrangian flows and continuity equations in metric measure spaces. Zbl 1357.49058
Ambrosio, Luigi; Trevisan, Dario
2014
Regularity for parabolic integro-differential equations with very irregular kernels. Zbl 1349.47079
Schwab, Russell W.; Silvestre, Luis
2016
Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation. Zbl 1329.35207
Hillairet, Matthieu; Raphaël, Pierre
2012
Effective integrable dynamics for a certain nonlinear wave equation. Zbl 1268.35013
Gérard, Patrick; Grellier, Sandrine
2012
The Calderón problem for the fractional Schrödinger equation. Zbl 1439.35530
Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther
2020
Gross-Pitaevskii dynamics for Bose-Einstein condensates. Zbl 1414.35184
Brennecke, Christian; Schlein, Benjamin
2019
Sharp polynomial decay rates for the damped wave equation on the torus. Zbl 1295.35075
Anantharaman, Nalini; Léautaud, Matthieu
2014
Quasimodes and a lower bound on the uniform energy decay rate for Kerr-AdS spacetimes. Zbl 1300.83030
Holzegel, Gustav; Smulevici, Jacques
2014
Boundary estimates in elliptic homogenization. Zbl 1368.35028
Shen, Zhongwei
2017
Existence and orbital stability of the ground states with prescribed mass for the $$L^2$$-critical and supercritical NLS on bounded domains. Zbl 1314.35168
Noris, Benedetta; Tavares, Hugo; Verzini, Gianmaria
2014
Ricci flow on surfaces with conic singularities. Zbl 1322.53070
Mazzeo, Rafe; Rubinstein, Yanir A.; Sesum, Natasa
2015
Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026
Han, Yongsheng; Lu, Guozhen; Sawyer, Eric
2014
Multiple vector-valued inequalities via the helicoidal method. Zbl 1361.42005
Benea, Cristina; Muscalu, Camil
2016
Restriction and spectral multiplier theorems on asymptotically conic manifolds. Zbl 1293.35187
Guillarmou, Colin; Hassell, Andrew; Sikora, Adam
2013
Ground states of large bosonic systems: the Gross-Pitaevskii limit revisited. Zbl 1342.35284
Phan Thánh Nam; Rougerie, Nicolas; Seiringer, Robert
2016
Vanishing viscosity plane parallel channel flow and related singular perturbation problems. Zbl 1160.35329
Mazzucato, Anna; Taylor, Michael
2008
Global well-posedness on the derivative nonlinear Schrödinger equation. Zbl 1326.35361
Wu, Yifei
2015
The Muskat problem in two dimensions: equivalence of formulations, well-posedness, and regularity results. Zbl 1402.35319
Matioc, Bogdan-Vasile
2019
Decay of linear waves on higher-dimensional Schwarzschild black holes. Zbl 1326.35382
Schlue, Volker
2013
Classification of blowup limits for $$\mathrm{SU}(3)$$ singular Toda systems. Zbl 1322.35038
Lin, Chang-Shou; Wei, Jun-Cheng; Zhang, Lei
2015
Two-dimensional nonlinear Schrödinger equation with random radial data. Zbl 1264.35212
Deng, Yu
2012
The wave equation on asymptotically anti de Sitter spaces. Zbl 1277.35014
Vasy, András
2012
On the global well-posedness of energy-critical Schrödinger equations in curved spaces. Zbl 1264.35215
Ionescu, Alexandru D.; Pausader, Benoit; Staffilani, Gigliola
2012
A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment. Zbl 1405.35206
Figalli, Alessio; Kang, Moon-Jin
2019
Global well-posedness of the MHD equations in a homogeneous magnetic field. Zbl 1368.76077
Wei, Dongyi; Zhang, Zhifei
2017
Characterisation of the energy of Gaussian beams on Lorentzian manifolds: with applications to black hole spacetimes. Zbl 1343.35229
Sbierski, Jan
2015
A characterization of two weight norm inequalities for maximal singular integrals with one doubling measure. Zbl 1279.42016
Lacey, Michael; Sawyer, Eric T.; Uriarte-Tuero, Ignacio
2012
Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system. Zbl 1309.76053
Barbato, David; Morandin, Francesco; Romito, Marco
2014
The Hartree equation for infinitely many particles. II: Dispersion and scattering in 2D. Zbl 1301.35122
Lewin, Mathieu; Sabin, Julien
2014
Global well-posedness for the nonlinear Schrödinger equation with derivative in energy space. Zbl 1298.35207
Wu, Yifei
2013
Existence of extremals for a Fourier restriction inequality. Zbl 1273.42009
Christ, Michael; Shao, Shuanglin
2012
Global well-posedness of slightly supercritical active scalar equations. Zbl 1294.35092
Dabkowski, Michael; Kiselev, Alexander; Silvestre, Luis; Vicol, Vlad
2014
The geodesic X-ray transform with fold caustics. Zbl 1271.53070
Stefanov, Plamen; Uhlmann, Gunther
2012
Bilinear forms on the Dirichlet space. Zbl 1262.30066
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric; Wick, Brett D.
2010
Bulk universality and clock spacing of zeros for ergodic Jacobi matrices with absolutely continuous spectrum. Zbl 1225.26031
Avila, Artur; Last, Yoram; Simon, Barry
2010
On a maximum principle and its application to the logarithmically critical Boussinesq system. Zbl 1264.35173
Hmidi, Taoufik
2011
Global well-posedness and scattering for the defocusing quintic NLS in three dimensions. Zbl 1264.35219
Killip, Rowan; Vişan, Monica
2012
A unified flow approach to smooth, even $$L_p$$-Minkowski problems. Zbl 1401.53048
Bryan, Paul; Ivaki, Mohammad N.; Scheuer, Julian
2019
Nonradial type II blow-up for the energy-supercritical semilinear heat equation. Zbl 1372.35153
Collot, Charles
2017
The weak-$$A_\infty$$ property of harmonic and $$p$$-harmonic measures implies uniform rectifiability. Zbl 1369.31006
Hofmann, Steve; Le, Phi; Martell, José María; Nyström, Kaj
2017
A geometric tangential approach to sharp regularity for degenerate evolution equations. Zbl 1295.35296
Teixeira, Eduardo V.; Urbano, José Miguel
2014
Stability for strongly coupled critical elliptic systems in a fully inhomogeneous medium. Zbl 1208.58025
Druet, Olivier; Hebey, Emmanuel
2009
Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients. Zbl 1351.35014
2015
Pseudoparabolic regularization of forward-backward parabolic equations: a logarithmic nonlinearity. Zbl 1284.35121
Bertsch, Michiel; Smarrazzo, Flavia; Tesei, Alberto
2013
Power spectrum of the geodesic flow on hyperbolic manifolds. Zbl 1371.37056
Dyatlov, Semyon; Faure, Frédéric; Guillarmou, Colin
2015
Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue. Zbl 1282.35099
Andrews, Ben; Clutterbuck, Julie
2013
A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus. Zbl 1284.35067
Faou, Erwan; Grébert, Benoît
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 1264.32004
Costea, Şerban; Sawyer, Eric T.; Wick, Brett D.
2011
A vector field method approach to improved decay for solutions to the wave equation on a slowly rotating Kerr black hole. Zbl 1267.83065
Luk, Jonathan
2012
The Fuglede conjecture holds in $$\mathbb{Z}_p\times \mathbb{Z}_p$$. Zbl 1361.05014
Iosevich, Alexander; Mayeli, Azita; Pakianathan, Jonathan
2017
Rigidity of minimizers in nonlocal phase transitions. Zbl 1391.35145
Savin, Ovidiu
2018
Monotonicity of nonpluripolar products and complex Monge-Ampère equations with prescribed singularity. Zbl 1396.32011
Darvas, Tamás; Di Nezza, Eleonora; Lu, Chinh H.
2018
Regularity results for generalized double phase functionals. Zbl 1477.49057
Byun, Sun-Sig; Oh, Jehan
2020
An inverse source problem in optical molecular imaging. Zbl 1171.35126
Stefanov, Plamen; Uhlmann, Gunther
2008
Heat-flow monotonicity of Strichartz norms. Zbl 1190.35043
Bennett, Jonathan; Bez, Neal; Carbery, Anthony; Hundertmark, Dirk
2009
Stabilization for the semilinear wave equation with geometric control condition. Zbl 1329.35062
Joly, Romain; Laurent, Camille
2013
Instability theory of the Navier-Stokes-Poisson equations. Zbl 1284.35317
Jang, Juhi; Tice, Ian
2013
$$L^p$$ estimates for the Hilbert transforms along a one-variable vector field. Zbl 1285.42014
Bateman, Michael; Thiele, Christoph
2013
Global well-posedness for the two-dimensional Muskat problem with slope less than 1. Zbl 1403.35127
Cameron, Stephen
2019
Sharp global estimates for local and nonlocal porous medium-type equations in bounded domains. Zbl 1443.35067
Bonforte, Matteo; Figalli, Alessio; Vázquez, Juan Luis
2018
Scale-free unique continuation principle for spectral projectors, eigenvalue-lifting and Wegner estimates for random Schrödinger operators. Zbl 1383.35068
Nakić, Ivica; Täufer, Matthias; Tautenhahn, Martin; Veselić, Ivan
2018
On the unconditional uniqueness of solutions to the infinite radial Chern-Simons-Schrödinger hierarchy. Zbl 1307.35273
Chen, Xuwen; Smith, Paul
2014
Global-in-time Strichartz estimates on nontrapping, asymptotically conic manifolds. Zbl 1333.35226
Hassell, Andrew; Zhang, Junyong
2016
Stochastic homogenization of viscous Hamilton-Jacobi equations and applications. Zbl 1320.35033
Armstrong, Scott N.; Tran, Hung V.
2014
Geometric control condition for the wave equation with a time-dependent observation domain. Zbl 1391.35254
Le Rousseau, Jérôme; Lebeau, Gilles; Terpolilli, Peppino; Trélat, Emmanuel
2017
Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems. Zbl 1347.35117
Bulíček, Miroslav; Diening, Lars; Schwarzacher, Sebastian
2016
Bilinear Hilbert transforms along curves, I: The monomial case. Zbl 1275.42022
Li, Xiaochun
2013
Convergence rates and Hölder estimates in almost-periodic homogenization of elliptic systems. Zbl 1327.35025
Shen, Zhongwei
2015
Growth of Sobolev norms for the quintic NLS on $$\mathbb T^2$$. Zbl 1322.35126
Haus, Emanuele; Procesi, Michela
2015
Regularity of weak solutions of a complex Monge-Ampère equation. Zbl 1264.32019
Székelyhidi, Gábor; Tosatti, Valentino
2011
Fuglede’s spectral set conjecture for convex polytopes. Zbl 1377.42014
Greenfeld, Rachel; Lev, Nir
2017
The inverse problem for the Dirichlet-to-Neumann map on Lorentzian manifolds. Zbl 1391.35426
Stefanov, Plamen; Yang, Yang
2018
An improved lower bound on the size of Kakeya sets over finite fields. Zbl 1335.42017
2008
Existence theorems of the fractional Yamabe problem. Zbl 1377.53056
Kim, Seunghyeok; Musso, Monica; Wei, Juncheng
2018
The inverse conjecture for the Gowers norm over finite fields via the correspondence principle. Zbl 1252.11012
Tao, Terence; Ziegler, Tamar
2010
Poisson statistics for eigenvalues of continuum random Schrödinger operators. Zbl 1227.82034
Combes, Jean-Michel; Germinet, François; Klein, Abel
2010
Dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations: mass transfer in systems with solitons and degenerate neutral modes. Zbl 1175.35136
Gang, Zhou; Weinstein, Michael I.
2008
Porous media: The Muskat problem in three dimensions. Zbl 1273.35221
Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco
2013
Noncommutative variations on Laplace’s equation. Zbl 1159.58005
Rosenberg, Jonathan
2008
The 1-dimensional nonlinear Schrödinger equation with a weighted $$L^1$$ potential. Zbl 1498.35189
Chen, Gong; Pusateri, Fabio
2022
Sharp energy regularity and typicality results for Hölder solutions of incompressible Euler equations. Zbl 1490.35263
De Rosa, Luigi; Tione, Riccardo
2022
A Szemerédi-type theorem for subsets of the unit cube. Zbl 1486.05305
Durcik, Polona; Kovač, Vjekoslav
2022
An asymptotic expansion of two-bubble wave maps in high equivariance classes. Zbl 1487.35177
Jendrej, Jacek; Lawrie, Andrew
2022
Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains. Zbl 1490.35119
Dupaigne, Louis; Farina, Alberto
2022
Regular domains and surfaces of constant Gaussian curvature in $$3$$-dimensional affine space. Zbl 1498.53009
Nie, Xin; Seppi, Andrea
2022
Fourier decay of self-similar measures and self-similar sets of uniqueness. Zbl 07554580
Varjú, Péter P.; Yu, Han
2022
The deformed Hermitian Yang-Mills equation on three-folds. Zbl 07589177
Pingali, Vamsi Pritham
2022
Five-linear singular integral estimates of Brascamp-Lieb-type. Zbl 1502.42013
Muscalu, Camil; Zhai, Yujia
2022
Local maximizers of adjoint Fourier restriction estimates for the cone, paraboloid and sphere. Zbl 1497.35017
Gonçalves, Felipe; Negro, Giuseppe
2022
Eigenvalue estimates for Kato-type Ricci curvature conditions. Zbl 07632774
Rose, Christian; Wei, Guofang
2022
Convergence over fractals for the periodic Schrödinger equation. Zbl 07632777
Eceizabarrena, Daniel; Lucà, Renato
2022
Stability and instability in scalar balance laws: fronts and periodic waves. Zbl 07632778
Duchêne, Vincent; Rodrigues, Luis Miguel
2022
The stability of the Minkowski space for the Einstein-Vlasov system. Zbl 1476.83007
Fajman, David; Joudioux, Jérémie; Smulevici, Jacques
2021
Variations of a class of Monge-Ampère-type functionals and their applications. Zbl 1468.35047
Chen, Haodi; Chen, Shibing; Li, Qi-Rui
2021
The Schauder estimate for kinetic integral equations. Zbl 1467.35069
Imbert, Cyril; Silvestre, Luis
2021
Nonlinear spectral decompositions by gradient flows of one-homogeneous functionals. Zbl 07365582
Bungert, Leon; Burger, Martin; Chambolle, Antonin; Novaga, Matteo
2021
On an electromagnetic problem in a corner and its applications. Zbl 1480.78011
Blåsten, Emilia; Liu, Hongyu; Xiao, Jingni
2021
Analysis of the linear sampling method for imaging penetrable obstacles in the time domain. Zbl 1467.35343
Cakoni, Fioralba; Monk, Peter; Selgas, Virginia
2021
Stable self-similar blow-up for a family of nonlocal transport equations. Zbl 1472.35277
Elgindi, Tarek M.; Ghoul, Tej-Eddine; Masmoudi, Nader
2021
Singularities generated by the triple interaction of semilinear conormal waves. Zbl 1467.35010
Sá Barreto, Antônio; Wang, Yiran
2021
$$C^{1, \alpha}$$-regularity for variational problems in the Heisenberg group. Zbl 1473.35087
Mukherjee, Shirsho; Zhong, Xiao
2021
Translating solutions to the Gauss curvature flow with flat sides. Zbl 07403060
Choi, Kyeongsu; Daskalopoulos, Panagiota; Lee, Ki-Ahm
2021
$$L^2$$-boundedness of gradients of single-layer potentials and uniform rectifiability. Zbl 1473.35148
Prat, Laura; Puliatti, Carmelo; Tolsa, Xavier
2021
Local and global estimates for hyperbolic equations in Besov-Lipschitz and Triebel-Lizorkin spaces. Zbl 1467.35373
Israelsson, Anders; Rodríguez-López, Salvador; Staubach, Wolfgang
2021
Sign-changing solutions for critical equations with Hardy potential. Zbl 1473.35290
Esposito, Pierpaolo; Ghoussoub, Nassif; Pistoia, Angela; Vaira, Giusi
2021
Convergence rate in Wasserstein distance and semiclassical limit for the defocusing logarithmic Schrödinger equation. Zbl 1479.35787
Ferriere, Guillaume
2021
Quantitative estimates in stochastic homogenization for correlated coefficient fields. Zbl 1485.35156
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
2021
Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields. Zbl 1485.35091
Bruè, Elia; Nguyen, Quoc-Hung
2021
Potential well theory for the derivative nonlinear Schrödinger equation. Zbl 1472.35356
Hayashi, Masayuki
2021
Banach space actions and $$L^2$$-spectral gap. Zbl 1479.46014
de Laat, Tim; de la Salle, Mikael
2021
On scale-invariant bounds for the Green’s function for second-order elliptic equations with lower-order coefficients and applications. Zbl 1468.35039
Sakellaris, Georgios
2021
Classical and microlocal analysis of the x-ray transform on Anosov manifolds. Zbl 1479.37028
Gouëzel, Sébastien; Lefeuvre, Thibault
2021
Optimal asymptotic bounds for designs on manifolds. Zbl 1482.05030
Gariboldi, Bianca; Gigante, Giacomo
2021
On the expected Betti numbers of the nodal set of random fields. Zbl 1481.60096
Wigman, Igor
2021
Geometric quantization of coupled Kähler-Einstein metrics. Zbl 1478.32054
Takahashi, Ryosuke
2021
Quantitative comparisons of multiscale geometric properties. Zbl 1484.28001
Azzam, Jonas; Villa, Michele
2021
Global existence and scattering for quadratic NLS with potential in three dimensions. Zbl 1483.35214
Léger, Tristan
2021
$$A_{\infty}$$-weights and compactness of conformal metrics under $$L^{n/2}$$ curvature bounds. Zbl 07454711
Aldana, Clara L.; Carron, Gilles; Tapie, Samuel
2021
Global well-posedness for the defocussing mass-critical stochastic nonlinear Schrödinger equation on $$\mathbb{R}$$ at $$L^2$$ regularity. Zbl 1490.35412
Fan, Chenjie; Xu, Weijun
2021
A gap theorem for $$\alpha$$-harmonic maps between two-spheres. Zbl 1477.58008
Lamm, Tobias; Malchiodi, Andrea; Micallef, Mario
2021
Observability of the heat equation, geometric constants in control theory, and a conjecture of Luc Miller. Zbl 1479.35507
Laurent, Camille; Léautaud, Matthieu
2021
Brown-Halmos characterization of multi-Toeplitz operators associated with noncommutative polyhyperballs. Zbl 07413787
Popescu, Gelu
2021
A splitting lemma for coherent sheaves. Zbl 1485.32005
Studer, Luca
2021
Lifting in compact covering spaces for fractional Sobolev mappings. Zbl 1486.46040
Mironescu, Petru; Van Schaftingen, Jean
2021
Liouville-type theorems for minimal graphs over manifolds. Zbl 1479.53069
Ding, Qi
2021
On sharp lower bounds for Calabi-type functionals and destabilizing properties of gradient flows. Zbl 1478.32056
Xia, Mingchen
2021
Wave maps on $$(1+2)$$-dimensional curved spacetimes. Zbl 1475.35196
Gavrus, Cristian; Jao, Casey; Tataru, Daniel
2021
Waves interacting with a partially immersed obstacle in the Boussinesq regime. Zbl 07413798
Bresch, Didier; Lannes, David; Métivier, Guy
2021
Equivariant property (SI) revisited. Zbl 1486.46067
Szabó, Gábor
2021
Multilayer potentials for higher-order systems in rough domains. Zbl 1477.35083
Hoepfner, Gustavo; Liboni, Paulo; Mitrea, Dorina; Mitrea, Irina; Mitrea, Marius
2021
The Landau-Pekar equations: adiabatic theorem and accuracy. Zbl 1492.35241
Leopold, Nikolai; Rademacher, Simone; Schlein, Benjamin; Seiringer, Robert
2021
Threshold dynamics for corotational wave maps. Zbl 1486.35301
Rodriguez, Casey
2021
Some refinements of the partial $$C^0$$ estimate. Zbl 1484.32005
Zhang, Kewei
2021
Wave equations with initial data on compact Cauchy horizons. Zbl 1484.58015
2021
On the global bifurcation diagram of the Gelfand problem. Zbl 1485.35033
Bartolucci, Daniele; Jevnikar, Aleks
2021
The stable trapping phenomenon for black strings and black rings and its obstructions on the decay of linear waves. Zbl 1490.35491
Benomio, Gabriele
2021
The Calderón problem for the fractional Schrödinger equation. Zbl 1439.35530
Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther
2020
Regularity results for generalized double phase functionals. Zbl 1477.49057
Byun, Sun-Sig; Oh, Jehan
2020
On the existence of translating solutions of mean curvature flow in slab regions. Zbl 1443.53053
Bourni, Theodora; Langford, Mat; Tinaglia, Giuseppe
2020
Infinite-time blow-up for the 3-dimensional energy-critical heat equation. Zbl 1435.35081
del Pino, Manuel; Musso, Monica; Wei, Juncheng
2020
Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds. Zbl 1436.35340
Beltran, David; Hickman, Jonathan; Sogge, Christopher D.
2020
A proof of the instability of AdS for the Einstein-null dust system with an inner mirror. Zbl 1452.83009
Moschidis, Georgios
2020
Regularity estimates for elliptic nonlocal operators. Zbl 1437.35175
Dyda, Bartłomiej; Kassmann, Moritz
2020
New formulas for the Laplacian of distance functions and applications. Zbl 1462.49031
Cavalletti, Fabio; Mondino, Andrea
2020
On the regularity of minimizers for scalar integral functionals with $$(p,q)$$-growth. Zbl 1460.49027
Bella, Peter; Schäffner, Mathias
2020
Energy conservation for the compressible Euler and Navier-Stokes equations with vacuum. Zbl 1437.35552
Akramov, Ibrokhimbek; Dębiec, Tomasz; Skipper, Jack; Wiedemann, Emil
2020
On solvability and ill-posedness of the compressible Euler system subject to stochastic forces. Zbl 1435.35289
Breit, Dominic; Feireisl, Eduard; Hofmanová, Martina
2020
On the trace operator for functions of bounded $$\mathbb{A}$$-variation. Zbl 1450.46017
Breit, Dominic; Diening, Lars; Gmeineder, Franz
2020
On the Hölder continuous subsolution problem for the complex Monge-Ampère equation. II. Zbl 1442.32045
Nguyen, Ngoc Cuong
2020
A bootstrapping approach to jump inequalities and their applications. Zbl 1437.42023
Mirek, Mariusz; Stein, Elias M.; Zorin-Kranich, Pavel
2020
Almost-sure scattering for the radial energy-critical nonlinear wave equation in three dimensions. Zbl 1442.35259
Bringmann, Bjoern
2020
Uniform Sobolev estimates for Schrödinger operators with scaling-critical potentials and applications. Zbl 1452.35128
Mizutani, Haruya
2020
Global existence for the derivative nonlinear Schrödinger equation with arbitrary spectral singularities. Zbl 1451.35186
Jenkins, Robert; Liu, Jiaqi; Perry, Peter; Sulem, Catherine
2020
Distance graphs and sets of positive upper density in $$\mathbb{R}^d$$. Zbl 1471.11025
Lyall, Neil; Magyar, Ákos
2020
On the discrete Fuglede and Pompeiu problems. Zbl 07190791
Kiss, Gergely; Malikiosis, Romanos Diogenes; Somlai, Gábor; Vizer, Máté
2020
Nuclear dimension of simple stably projectionless $$C^\ast$$-algebras. Zbl 1475.46051
Castillejos, Jorge; Evington, Samuel
2020
Isolated singularities for semilinear elliptic systems with power-law nonlinearity. Zbl 1455.35102
Ghergu, Marius; Kim, Sunghan; Shahgholian, Henrik
2020
Stability of small solitary waves for the one-dimensional NLS with an attractive delta potential. Zbl 1447.35299
Masaki, Satoshi; Murphy, Jason; Segata, Jun-ichi
2020
Well-posedness of the hydrostatic Navier-Stokes equations. Zbl 1451.35109
2020
Sharp variation-norm estimates for oscillatory integrals related to Carleson’s theorem. Zbl 1452.42010
Guo, Shaoming; Roos, Joris; Yung, Po-Lam
2020
On the sharp upper bound related to the weak Muckenhoupt-Wheeden conjecture. Zbl 1451.42029
Lerner, Andrei K.; Nazarov, Fedor; Ombrosi, Sheldy
2020
Regularity of the free boundary for the vectorial Bernoulli problem. Zbl 1445.35342
Mazzoleni, Dario; Terracini, Susanna; Velichkov, Bozhidar
2020
A well-posedness result for viscous compressible fluids with only bounded density. Zbl 1434.35046
Danchin, Raphaël; Fanelli, Francesco; Paicu, Marius
2020
Sharp Strichartz inequalities for fractional and higher-order Schrödinger equations. Zbl 1435.35015
Brocchi, Gianmarco; Oliveira e Silva, Diogo; Quilodrán, René
2020
Estimates for the Navier-Stokes equations in the half-space for nonlocalized data. Zbl 1447.35251
Maekawa, Yasunori; Miura, Hideyuki; Prange, Christophe
2020
Evanescent ergosurface instability. Zbl 1454.35379
Keir, Joe
2020
Boundary value problems for second-order elliptic operators with complex coefficients. Zbl 1458.35153
Dindoš, Martin; Pipher, Jill
2020
On the gap between the gamma-limit and the pointwise limit for a nonlocal approximation of the total variation. Zbl 1444.49008
Antonucci, Clara; Gobbino, Massimo; Picenni, Nicola
2020
The gradient flow of the Möbius energy: $$\epsilon$$-regularity and consequences. Zbl 1440.57001
Blatt, Simon
2020
A vector field method for radiating black hole spacetimes. Zbl 1437.35088
Oliver, Jesús; Sterbenz, Jacob
2020
Stable ODE-type blowup for some quasilinear wave equations with derivative-quadratic nonlinearities. Zbl 1439.35094
Speck, Jared
2020
Convex projective surfaces with compatible Weyl connection are hyperbolic. Zbl 07221197
Mettler, Thomas; Paternain, Gabriel P.
2020
Spectral theory of pseudodifferential operators of degree 0 and an application to forced linear waves. Zbl 1452.35026
Colin de Verdière, Yves
2020
Spectral stability of inviscid columnar vortices. Zbl 1454.35267
Gallay, Thierry; Smets, Didier
2020
An elementary approach to free entropy theory for convex potentials. Zbl 1471.46064
Jekel, David
2020
External boundary control of the motion of a rigid body immersed in a perfect two-dimensional fluid. Zbl 1459.76033
Glass, Olivier; Kolumbán, József J.; Sueur, Franck
2020
A higher-dimensional Bourgain-Dyatlov fractal uncertainty principle. Zbl 1439.32082
Han, Rui; Schlag, Wilhelm
2020
Absence of Cartan subalgebras for right-angled Hecke von Neumann algebras. Zbl 1447.46047
Caspers, Martijn
2020
Asymptotic expansions of fundamental solutions in parabolic homogenization. Zbl 1437.35039
Geng, Jun; Shen, Zhongwei
2020
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### 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
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### 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. Theory, Methods & Applications. Series A: Theory and Methods 144 The Journal of Geometric Analysis 143 Archive for Rational Mechanics and Analysis 138 SIAM Journal on Mathematical Analysis 124 Journal of Mathematical Analysis and Applications 115 Transactions of the American Mathematical Society 106 Communications in Partial Differential Equations 98 Journal of Mathematical Physics 98 Journal de Mathématiques Pures et Appliquées. Neuvième Série 97 Analysis & PDE 91 Discrete and Continuous Dynamical Systems 90 Proceedings of the American Mathematical Society 89 Annales Henri Poincaré 86 Mathematische Annalen 73 Communications on Pure and Applied Analysis 66 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 52 The Journal of Fourier Analysis and Applications 50 Nonlinearity 49 Mathematische Zeitschrift 48 Inventiones Mathematicae 47 Journal d’Analyse Mathématique 46 Annals of PDE 43 Revista Matemática Iberoamericana 42 Journal of the European Mathematical Society (JEMS) 37 Journal of Spectral Theory 36 Acta Mathematica Sinica. English Series 36 Journal of Evolution Equations 36 Inverse Problems and Imaging 34 Annales de l’Institut Fourier 33 Communications in Contemporary Mathematics 33 Séminaire Laurent Schwartz. EDP et Applications 32 Duke Mathematical Journal 29 Annali di Matematica Pura ed Applicata. Serie Quarta 29 Journal für die Reine und Angewandte Mathematik 28 Memoirs of the American Mathematical Society 28 Geometric and Functional Analysis. GAFA 28 Pure and Applied Analysis 27 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 27 Journal of Mathematical Fluid Mechanics 26 Letters in Mathematical Physics 26 Indiana University Mathematics Journal 26 Comptes Rendus. Mathématique. Académie des Sciences, Paris 24 Potential Analysis 24 Advanced Nonlinear Studies 23 Inverse Problems 21 Annals of Mathematics. Second Series 21 Nonlinear Analysis. Real World Applications 21 Complex Variables and Elliptic Equations 20 Applicable Analysis 20 NoDEA. Nonlinear Differential Equations and Applications 20 Science China. Mathematics 20 Analysis and Mathematical Physics 19 Israel Journal of Mathematics 19 Journal of Statistical Physics 19 Integral Equations and Operator Theory 19 Physica D 18 Journal of Dynamics and Differential Equations 18 Forum of Mathematics, Sigma 17 ZAMP. Zeitschrift für angewandte Mathematik und Physik 17 Reviews in Mathematical Physics 17 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 17 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 17 Journal of Hyperbolic Differential Equations 17 Advances in Nonlinear Analysis 16 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 16 Discrete and Continuous Dynamical Systems. Series S 15 Communications on Pure and Applied Mathematics 15 Archiv der Mathematik 15 Chinese Annals of Mathematics. Series B 15 Journal of the American Mathematical Society 15 Journal of Nonlinear Science 14 Applied Mathematics Letters 14 Journal of the Institute of Mathematics of Jussieu 14 Journal de l’École Polytechnique – Mathématiques 13 International Journal of Mathematics 13 Mathematics in Engineering 12 Classical and Quantum Gravity 12 Applied Mathematics and Optimization 12 Asymptotic Analysis 12 Journal of High Energy Physics 12 Acta Mathematica Scientia. Series B. (English Edition) 12 Boundary Value Problems 12 Complex Analysis and Operator Theory 11 Mathematical Proceedings of the Cambridge Philosophical Society 11 Studia Mathematica 11 Pacific Journal of Mathematics 11 SIAM Journal on Control and Optimization 11 Selecta Mathematica. New Series 11 Discrete and Continuous Dynamical Systems. Series B 11 Kinetic and Related Models 10 Quarterly of Applied Mathematics 10 Results in Mathematics 10 Forum Mathematicum 10 Bulletin of the American Mathematical Society. New Series 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis ...and 314 more Journals
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### 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)