## 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.
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### Latest Issues

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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 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
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### 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)

### 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 1283.42032
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
Scattering threshold for the focusing nonlinear Klein-Gordon equation. Zbl 1270.35132
Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji
2011
Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation. Zbl 1190.35177
Tao, Terence
2009
Nonlocal self-improving properties. Zbl 1317.35284
Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick
2015
Fractional conformal Laplacians and fractional Yamabe problems. Zbl 1287.35039
del Mar González, María; Qing, Jie
2013
The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher. Zbl 1171.35111
Killip, Rowan; Visan, Monica; Zhang, Xiaoyi
2008
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
Sharp weighted norm estimates beyond Calderón-Zygmund theory. Zbl 1344.42009
Bernicot, Frédéric; Frey, Dorothee; Petermichl, Stefanie
2016
Decay of viscous surface waves without surface tension in horizontally infinite domains. Zbl 1292.35206
Guo, Yan; Tice, Ian
2013
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
Well-posedness of Lagrangian flows and continuity equations in metric measure spaces. Zbl 1357.49058
Ambrosio, Luigi; Trevisan, Dario
2014
The Cauchy problem for the Benjamin-Ono equation in $$L^{2}$$ revisited. Zbl 1273.35096
Molinet, Luc; Pilod, Didier
2012
Local and nonlocal boundary conditions for $$\mu$$-transmission and fractional elliptic pseudodifferential operators. Zbl 1317.35310
Grubb, Gerd
2014
Three-term commutator estimates and the regularity of $$^{1}/_{2}$$-harmonic maps into spheres. Zbl 1241.35035
Da Lio, Francesca; Rivière, Tristan
2011
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
Regularity for parabolic integro-differential equations with very irregular kernels. Zbl 1349.47079
Schwab, Russell W.; Silvestre, Luis
2016
A sparse domination principle for rough singular integrals. Zbl 1392.42011
Conde-Alonso, José M.; Culiuc, Amalia; Di Plinio, Francesco; Ou, Yumeng
2017
Effective integrable dynamics for a certain nonlinear wave equation. Zbl 1268.35013
Gérard, Patrick; Grellier, Sandrine
2012
Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation. Zbl 1329.35207
Hillairet, Matthieu; Raphaël, Pierre
2012
Semilinear wave equations on asymptotically de Sitter, Kerr-de Sitter and Minkowski spacetimes. Zbl 1336.35244
Hintz, Peter; Vasy, András
2015
A vector field method for relativistic transport equations with applications. Zbl 1373.35046
Fajman, David; Joudioux, Jérémie; Smulevici, Jacques
2017
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
Boundary estimates in elliptic homogenization. Zbl 1368.35028
Shen, Zhongwei
2017
Quasimodes and a lower bound on the uniform energy decay rate for Kerr-AdS spacetimes. Zbl 1300.83030
Holzegel, Gustav; Smulevici, Jacques
2014
Existence and orbital stability of the ground states with prescribed mass for the $$L^2$$-critical and supercritical NLS on bounded domains. Zbl 1314.35168
Noris, Benedetta; Tavares, Hugo; Verzini, Gianmaria
2014
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
The Calderón problem for the fractional Schrödinger equation. Zbl 1439.35530
Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther
2020
On the global well-posedness of energy-critical Schrödinger equations in curved spaces. Zbl 1264.35215
Ionescu, Alexandru D.; Pausader, Benoit; Staffilani, Gigliola
2012
Two-dimensional nonlinear Schrödinger equation with random radial data. Zbl 1264.35212
Deng, Yu
2012
Ricci flow on surfaces with conic singularities. Zbl 1322.53070
Mazzeo, Rafe; Rubinstein, Yanir A.; Sesum, Natasa
2015
Restriction and spectral multiplier theorems on asymptotically conic manifolds. Zbl 1293.35187
Guillarmou, Colin; Hassell, Andrew; Sikora, Adam
2013
Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026
Han, Yongsheng; Lu, Guozhen; Sawyer, Eric
2014
The wave equation on asymptotically anti de Sitter spaces. Zbl 1277.35014
Vasy, András
2012
The Hartree equation for infinitely many particles. II: Dispersion and scattering in 2D. Zbl 1301.35122
Lewin, Mathieu; Sabin, Julien
2014
Decay of linear waves on higher-dimensional Schwarzschild black holes. Zbl 1326.35382
Schlue, Volker
2013
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
Characterisation of the energy of Gaussian beams on Lorentzian manifolds: with applications to black hole spacetimes. Zbl 1343.35229
Sbierski, Jan
2015
Classification of blowup limits for $$\mathrm{SU}(3)$$ singular Toda systems. Zbl 1322.35038
Lin, Chang-Shou; Wei, Jun-Cheng; Zhang, Lei
2015
Global well-posedness of slightly supercritical active scalar equations. Zbl 1294.35092
Dabkowski, Michael; Kiselev, Alexander; Silvestre, Luis; Vicol, Vlad
2014
Global well-posedness on the derivative nonlinear Schrödinger equation. Zbl 1326.35361
Wu, Yifei
2015
Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system. Zbl 1309.76053
Barbato, David; Morandin, Francesco; Romito, Marco
2014
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
The geodesic X-ray transform with fold caustics. Zbl 1271.53070
Stefanov, Plamen; Uhlmann, Gunther
2012
Existence of extremals for a Fourier restriction inequality. Zbl 1273.42009
Christ, Michael; Shao, Shuanglin
2012
Multiple vector-valued inequalities via the helicoidal method. Zbl 1361.42005
Benea, Cristina; Muscalu, Camil
2016
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
The Muskat problem in two dimensions: equivalence of formulations, well-posedness, and regularity results. Zbl 1402.35319
Matioc, Bogdan-Vasile
2019
Global well-posedness for the nonlinear Schrödinger equation with derivative in energy space. Zbl 1298.35207
Wu, Yifei
2013
Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients. Zbl 1351.35014
2015
Global well-posedness of the MHD equations in a homogeneous magnetic field. Zbl 1368.76077
Wei, Dongyi; Zhang, Zhifei
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 1264.32004
Costea, Şerban; Sawyer, Eric T.; Wick, Brett D.
2011
An inverse source problem in optical molecular imaging. Zbl 1171.35126
Stefanov, Plamen; Uhlmann, Gunther
2008
A geometric tangential approach to sharp regularity for degenerate evolution equations. Zbl 1295.35296
Teixeira, Eduardo V.; Urbano, José Miguel
2014
Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue. Zbl 1282.35099
Andrews, Ben; Clutterbuck, Julie
2013
Instability theory of the Navier-Stokes-Poisson equations. Zbl 1284.35317
Jang, Juhi; Tice, Ian
2013
A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus. Zbl 1284.35067
Faou, Erwan; Grébert, Benoît
2013
Stability for strongly coupled critical elliptic systems in a fully inhomogeneous medium. Zbl 1208.58025
Druet, Olivier; Hebey, Emmanuel
2009
Global well-posedness and scattering for the defocusing quintic NLS in three dimensions. Zbl 1264.35219
Killip, Rowan; Vişan, Monica
2012
Nonradial type II blow-up for the energy-supercritical semilinear heat equation. Zbl 1372.35153
Collot, Charles
2017
Heat-flow monotonicity of Strichartz norms. Zbl 1190.35043
Bennett, Jonathan; Bez, Neal; Carbery, Anthony; Hundertmark, Dirk
2009
$$L^p$$ estimates for the Hilbert transforms along a one-variable vector field. Zbl 1285.42014
Bateman, Michael; Thiele, Christoph
2013
Pseudoparabolic regularization of forward-backward parabolic equations: a logarithmic nonlinearity. Zbl 1284.35121
Bertsch, Michiel; Smarrazzo, Flavia; Tesei, Alberto
2013
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
Bilinear forms on the Dirichlet space. Zbl 1262.30066
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric; Wick, Brett D.
2010
Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems. Zbl 1347.35117
Bulíček, Miroslav; Diening, Lars; Schwarzacher, Sebastian
2016
Regularity of weak solutions of a complex Monge-Ampère equation. Zbl 1264.32019
Székelyhidi, Gábor; Tosatti, Valentino
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
Rigidity of minimizers in nonlocal phase transitions. Zbl 1391.35145
Savin, Ovidiu
2018
On the unconditional uniqueness of solutions to the infinite radial Chern-Simons-Schrödinger hierarchy. Zbl 1307.35273
Chen, Xuwen; Smith, Paul
2014
Stochastic homogenization of viscous Hamilton-Jacobi equations and applications. Zbl 1320.35033
Armstrong, Scott N.; Tran, Hung V.
2014
Global-in-time Strichartz estimates on nontrapping, asymptotically conic manifolds. Zbl 1333.35226
Hassell, Andrew; Zhang, Junyong
2016
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
An improved lower bound on the size of Kakeya sets over finite fields. Zbl 1335.42017
2008
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
Power spectrum of the geodesic flow on hyperbolic manifolds. Zbl 1371.37056
Dyatlov, Semyon; Faure, Frédéric; Guillarmou, Colin
2015
Bilinear Hilbert transforms along curves, I: The monomial case. Zbl 1275.42022
Li, Xiaochun
2013
The Fuglede conjecture holds in $$\mathbb{Z}_p\times \mathbb{Z}_p$$. Zbl 1361.05014
Iosevich, Alexander; Mayeli, Azita; Pakianathan, Jonathan
2017
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
A natural lower bound for the size of nodal sets. Zbl 1329.35224
Hezari, Hamid; Sogge, Christopher D.
2012
Porous media: The Muskat problem in three dimensions. Zbl 1273.35221
Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco
2013
A unified flow approach to smooth, even $$L_p$$-Minkowski problems. Zbl 1401.53048
Bryan, Paul; Ivaki, Mohammad N.; Scheuer, Julian
2019
Stabilization for the semilinear wave equation with geometric control condition. Zbl 1329.35062
Joly, Romain; Laurent, Camille
2013
Fuglede’s spectral set conjecture for convex polytopes. Zbl 1377.42014
Greenfeld, Rachel; Lev, Nir
2017
The inverse conjecture for the Gowers norm over finite fields via the correspondence principle. Zbl 1252.11012
Tao, Terence; Ziegler, Tamar
2010
A second order estimate for general complex Hessian equations. Zbl 1353.32024
Phong, Duong; Picard, Sebastien; Zhang, Xiangwen
2016
Existence theorems of the fractional Yamabe problem. Zbl 1377.53056
Kim, Seunghyeok; Musso, Monica; Wei, Juncheng
2018
Noncommutative variations on Laplace’s equation. Zbl 1159.58005
Rosenberg, Jonathan
2008
Global well-posedness for the two-dimensional Muskat problem with slope less than 1. Zbl 1403.35127
Cameron, Stephen
2019
The inverse problem for the Dirichlet-to-Neumann map on Lorentzian manifolds. Zbl 1391.35426
Stefanov, Plamen; Yang, Yang
2018
On small energy stabilization in the NLS with a trapping potential. Zbl 1326.35335
Cuccagna, Scipio; Maeda, Masaya
2015
Improvement of the energy method for strongly nonresonant dispersive equations and applications. Zbl 1330.35384
Molinet, Luc; Vento, Stéphane
2015
Convergence rates and Hölder estimates in almost-periodic homogenization of elliptic systems. Zbl 1327.35025
Shen, Zhongwei
2015
Nonlinear spectral decompositions by gradient flows of one-homogeneous functionals. Zbl 07365582
Bungert, Leon; Burger, Martin; Chambolle, Antonin; Novaga, Matteo
2021
The Schauder estimate for kinetic integral equations. Zbl 1467.35069
Imbert, Cyril; Silvestre, Luis
2021
The stability of the Minkowski space for the Einstein-Vlasov system. Zbl 1476.83007
Fajman, David; Joudioux, Jérémie; Smulevici, Jacques
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
Variations of a class of Monge-Ampère-type functionals and their applications. Zbl 1468.35047
Chen, Haodi; Chen, Shibing; Li, Qi-Rui
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
Sign-changing solutions for critical equations with Hardy potential. Zbl 1473.35290
Esposito, Pierpaolo; Ghoussoub, Nassif; Pistoia, Angela; Vaira, Giusi
2021
On an electromagnetic problem in a corner and its applications. Zbl 1480.78011
Blåsten, Emilia; Liu, Hongyu; Xiao, Jingni
2021
$$L^2$$-boundedness of gradients of single-layer potentials and uniform rectifiability. Zbl 1473.35148
Prat, Laura; Puliatti, Carmelo; Tolsa, Xavier
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
Translating solutions to the Gauss curvature flow with flat sides. Zbl 07403060
Choi, Kyeongsu; Daskalopoulos, Panagiota; Lee, Ki-Ahm
2021
Quantitative estimates in stochastic homogenization for correlated coefficient fields. Zbl 07491048
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
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
Banach space actions and $$L^2$$-spectral gap. Zbl 1479.46014
de Laat, Tim; de la Salle, Mikael
2021
Classical and microlocal analysis of the x-ray transform on Anosov manifolds. Zbl 1479.37028
Gouëzel, Sébastien; Lefeuvre, Thibault
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
$$C^{1, \alpha}$$-regularity for variational problems in the Heisenberg group. Zbl 1473.35087
Mukherjee, Shirsho; Zhong, Xiao
2021
Convergence rate in Wasserstein distance and semiclassical limit for the defocusing logarithmic Schrödinger equation. Zbl 1479.35787
Ferriere, Guillaume
2021
Optimal asymptotic bounds for designs on manifolds. Zbl 1482.05030
Gariboldi, Bianca; Gigante, Giacomo
2021
Brown-Halmos characterization of multi-Toeplitz operators associated with noncommutative polyhyperballs. Zbl 07413787
Popescu, Gelu
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 07413793
Azzam, Jonas; Villa, Michele
2021
Equivariant property (SI) revisited. Zbl 07413801
Szabó, Gábor
2021
Global existence and scattering for quadratic NLS with potential in three dimensions. Zbl 1483.35214
Léger, Tristan
2021
Threshold dynamics for corotational wave maps. Zbl 07454710
Rodriguez, Casey
2021
The stable trapping phenomenon for black strings and black rings and its obstructions on the decay of linear waves. Zbl 07491047
Benomio, Gabriele
2021
Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields. Zbl 07491049
Bruè, Elia; Nguyen, Quoc-Hung
2021
Global well-posedness for the defocussing mass-critical stochastic nonlinear Schrödinger equation on $$\mathbb{R}$$ at $$L^2$$ regularity. Zbl 07491050
Fan, Chenjie; Xu, Weijun
2021
The Calderón problem for the fractional Schrödinger equation. Zbl 1439.35530
Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther
2020
On the existence of translating solutions of mean curvature flow in slab regions. Zbl 1443.53053
Bourni, Theodora; Langford, Mat; Tinaglia, Giuseppe
2020
Regularity results for generalized double phase functionals. Zbl 1477.49057
Byun, Sun-Sig; Oh, Jehan
2020
Infinite-time blow-up for the 3-dimensional energy-critical heat equation. Zbl 1435.35081
del Pino, Manuel; Musso, Monica; Wei, Juncheng
2020
Regularity estimates for elliptic nonlocal operators. Zbl 1437.35175
Dyda, Bartłomiej; Kassmann, Moritz
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
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 the trace operator for functions of bounded $$\mathbb{A}$$-variation. Zbl 1450.46017
Breit, Dominic; Diening, Lars; Gmeineder, Franz
2020
Uniform Sobolev estimates for Schrödinger operators with scaling-critical potentials and applications. Zbl 1452.35128
Mizutani, Haruya
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
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
Distance graphs and sets of positive upper density in $$\mathbb{R}^d$$. Zbl 1471.11025
Lyall, Neil; Magyar, Ákos
2020
Almost-sure scattering for the radial energy-critical nonlinear wave equation in three dimensions. Zbl 1442.35259
Bringmann, Bjoern
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 sharp upper bound related to the weak Muckenhoupt-Wheeden conjecture. Zbl 1451.42029
Lerner, Andrei K.; Nazarov, Fedor; Ombrosi, Sheldy
2020
On the discrete Fuglede and Pompeiu problems. Zbl 07190791
Kiss, Gergely; Malikiosis, Romanos Diogenes; Somlai, Gábor; Vizer, Máté
2020
Sharp Strichartz inequalities for fractional and higher-order Schrödinger equations. Zbl 1435.35015
Brocchi, Gianmarco; Oliveira e Silva, Diogo; Quilodrán, René
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
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
A well-posedness result for viscous compressible fluids with only bounded density. Zbl 1434.35046
Danchin, Raphaël; Fanelli, Francesco; Paicu, Marius
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
Global existence for the derivative nonlinear Schrödinger equation with arbitrary spectral singularities. Zbl 1451.35186
Jenkins, Robert; Liu, Jiaqi; Perry, Peter; Sulem, Catherine
2020
Spectral stability of inviscid columnar vortices. Zbl 1454.35267
Gallay, Thierry; Smets, Didier
2020
Evanescent ergosurface instability. Zbl 1454.35379
Keir, Joe
2020
Nuclear dimension of simple stably projectionless $$C^\ast$$-algebras. Zbl 1475.46051
Castillejos, Jorge; Evington, Samuel
2020
Regularity of the free boundary for the vectorial Bernoulli problem. Zbl 1445.35342
Mazzoleni, Dario; Terracini, Susanna; Velichkov, Bozhidar
2020
A higher-dimensional Bourgain-Dyatlov fractal uncertainty principle. Zbl 1439.32082
Han, Rui; Schlag, Wilhelm
2020
Convex projective surfaces with compatible Weyl connection are hyperbolic. Zbl 07221197
Mettler, Thomas; Paternain, Gabriel P.
2020
Strichartz estimates for the Schrödinger flow on compact Lie groups. Zbl 1445.58010
Zhang, Yunfeng
2020
Asymptotic expansions of fundamental solutions in parabolic homogenization. Zbl 1437.35039
Geng, Jun; Shen, Zhongwei
2020
Spectral theory of pseudodifferential operators of degree 0 and an application to forced linear waves. Zbl 1452.35026
Colin de Verdière, Yves
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
Estimates for the Navier-Stokes equations in the half-space for nonlocalized data. Zbl 1447.35251
Maekawa, Yasunori; Miura, Hideyuki; Prange, Christophe
2020
Parabolic $$L^p$$ Dirichlet boundary value problem and VMO-type time-varying domains. Zbl 1442.35172
Dindoš, Martin; Dyer, Luke; Hwang, Sukjung
2020
Absence of Cartan subalgebras for right-angled Hecke von Neumann algebras. Zbl 1447.46047
Caspers, Martijn
2020
Optimal constants for a nonlocal approximation of Sobolev norms and total variation. Zbl 1435.26008
Antonucci, Clara; Gobbino, Massimo; Migliorini, Matteo; Picenni, Nicola
2020
When does a perturbed Moser-Trudinger inequality admit an extremal? Zbl 1452.35009
Thizy, Pierre-Damien
2020
Sharpening the triangle inequality: envelopes between $$L^2$$ and $$L^p$$ spaces. Zbl 1451.42022
Ivanisvili, Paata; Mooney, Connor
2020
Eigenvalue bounds for non-self-adjoint Schrödinger operators with nontrapping metrics. Zbl 1452.35122
Guillarmou, Colin; Hassell, Andrew; Krupchyk, Katya
2020
Scattering for defocusing energy subcritical nonlinear wave equations. Zbl 1459.35290
Dodson, Benjamin; Lawrie, Andrew; Mendelson, Dana; Murphy, Jason
2020
Convex sets evolving by volume-preserving fractional mean curvature flows. Zbl 1462.53084
Cinti, Eleonora; Sinestrari, Carlo; Valdinoci, Enrico
2020
Propagation properties of reaction-diffusion equations in periodic domains. Zbl 1467.35203
Ducasse, Romain
2020
An elementary approach to free entropy theory for convex potentials. Zbl 1471.46064
Jekel, David
2020
Parametrix for a semiclassical subelliptic operator. Zbl 1459.35090
Smith, Hart F.
2020
On the propagation of regularity for solutions of the dispersion generalized Benjamin-Ono equation. Zbl 1462.35339
Mendez, Argenis J.
2020
Optimal regularity in time and space for the porous medium equation. Zbl 1459.35254
Gess, Benjamin; Sauer, Jonas; Tadmor, Eitan
2020
Gross-Pitaevskii dynamics for Bose-Einstein condensates. Zbl 1414.35184
Brennecke, Christian; Schlein, Benjamin
2019
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
The Muskat problem in two dimensions: equivalence of formulations, well-posedness, and regularity results. Zbl 1402.35319
Matioc, Bogdan-Vasile
2019
A unified flow approach to smooth, even $$L_p$$-Minkowski problems. Zbl 1401.53048
Bryan, Paul; Ivaki, Mohammad N.; Scheuer, Julian
2019
Global well-posedness for the two-dimensional Muskat problem with slope less than 1. Zbl 1403.35127
Cameron, Stephen
2019
Classification of positive singular solutions to a nonlinear biharmonic equation with critical exponent. Zbl 1421.35150
Frank, Rupert L.; König, Tobias
2019
Long time behavior of the master equation in mean field game theory. Zbl 1428.35607
Cardaliaguet, Pierre; Porretta, Alessio
2019
Dimensional crossover with a continuum of critical exponents for NLS on doubly periodic metric graphs. Zbl 1414.35202
Adami, Riccardo; Dovetta, Simone; Serra, Enrico; Tilli, Paolo
2019
Solutions of the 4-species quadratic reaction-diffusion system are bounded and $$C^\infty$$-smooth, in any space dimension. Zbl 1423.35164
Caputo, M. Cristina; Goudon, Thierry; Vasseur, Alexis F.
2019
Monotonicity and local uniqueness for the Helmholtz equation. Zbl 1423.35443
Harrach, Bastian; Pohjola, Valter; Salo, Mikko
2019
On the dimension and smoothness of radial projections. Zbl 1405.28011
Orponen, Tuomas
2019
Two-dimensional gravity water waves with constant vorticity. I: Cubic lifespan. With appendices by Mihaela Ifrim and Daniel Tataru. Zbl 1403.35238
Ifrim, Mihaela; Tataru, Daniel
2019
Sparse bounds for the discrete cubic Hilbert transform. Zbl 1446.42001
Culiuc, Amalia; Kesler, Robert; Lacey, Michael T.
2019
Complex interpolation and Calderón-Mityagin couples of Morrey spaces. Zbl 1435.46018
Mastyło, Mieczysław; Sawano, Yoshihiro
2019
Global geometry and $$C^1$$ convex extensions of 1-jets. Zbl 1403.26009
Azagra, Daniel; Mudarra, Carlos
2019
Commutators of multiparameter flag singular integrals and applications. Zbl 1405.42041
Duong, Xuan Thinh; Li, Ji; Ou, Yumeng; Pipher, Jill; Wick, Brett D.
2019
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### 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
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### 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. Theory, Methods & Applications. Series A: Theory and Methods 127 SIAM Journal on Mathematical Analysis 124 Archive for Rational Mechanics and Analysis 124 The Journal of Geometric Analysis 108 Journal of Mathematical Analysis and Applications 104 Transactions of the American Mathematical Society 98 Communications in Partial Differential Equations 91 Journal of Mathematical Physics 86 Journal de Mathématiques Pures et Appliquées. Neuvième Série 83 Discrete and Continuous Dynamical Systems 82 Proceedings of the American Mathematical Society 82 Annales Henri Poincaré 79 Mathematische Annalen 70 Communications on Pure and Applied Analysis 62 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 50 Nonlinearity 49 Analysis & PDE 43 The Journal of Fourier Analysis and Applications 42 Journal d’Analyse Mathématique 41 Inventiones Mathematicae 41 Mathematische Zeitschrift 40 Annals of PDE 39 Journal of the European Mathematical Society (JEMS) 35 Revista Matemática Iberoamericana 34 Acta Mathematica Sinica. English Series 34 Inverse Problems and Imaging 33 Annales de l’Institut Fourier 33 Journal of Spectral Theory 33 Séminaire Laurent Schwartz. EDP et Applications 32 Journal of Evolution Equations 30 Communications in Contemporary Mathematics 29 Duke Mathematical Journal 28 Geometric and Functional Analysis. GAFA 25 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 25 Journal of Mathematical Fluid Mechanics 24 Letters in Mathematical Physics 24 Comptes Rendus. Mathématique. Académie des Sciences, Paris 23 Inverse Problems 23 Journal für die Reine und Angewandte Mathematik 23 Potential Analysis 22 Indiana University Mathematics Journal 21 Annali di Matematica Pura ed Applicata. Serie Quarta 21 Memoirs of the American Mathematical Society 19 Integral Equations and Operator Theory 19 Physica D 19 NoDEA. Nonlinear Differential Equations and Applications 19 Nonlinear Analysis. Real World Applications 18 Israel Journal of Mathematics 18 Journal of Dynamics and Differential Equations 18 Annals of Mathematics. Second Series 18 Advanced Nonlinear Studies 17 Journal of Statistical Physics 17 Reviews in Mathematical Physics 17 Complex Variables and Elliptic Equations 17 Science China. Mathematics 16 Applicable Analysis 16 ZAMP. Zeitschrift für angewandte Mathematik und Physik 16 Proceedings of the Royal Society of Edinburgh. Section A. 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
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### 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)