# zbMATH — the first resource for mathematics

## Communications in Partial Differential Equations

 Short Title: Commun. Partial Differ. Equations Publisher: Taylor & Francis, Philadelphia, PA ISSN: 0360-5302; 1532-4133/e Online: http://www.tandfonline.com/loi/lpde20 Comments: Indexed cover-to-cover
 Documents Indexed: 2,902 Publications (since 1976) References Indexed: 2,663 Publications with 53,091 References.
all top 5

#### Latest Issues

 46, No. 6 (2021) 46, No. 4 (2021) 46, No. 3 (2021) 46, No. 2 (2021) 46, No. 1 (2021) 45, No. 12 (2020) 45, No. 11 (2020) 45, No. 10 (2020) 45, No. 9 (2020) 45, No. 8 (2020) 45, No. 7 (2020) 45, No. 6 (2020) 45, No. 5 (2020) 45, No. 4 (2020) 45, No. 3 (2020) 45, No. 2 (2020) 45, No. 1 (2020) 44, No. 12 (2019) 44, No. 11 (2019) 44, No. 10 (2019) 44, No. 9 (2019) 44, No. 8 (2019) 44, No. 7 (2019) 44, No. 6 (2019) 44, No. 5 (2019) 44, No. 4 (2019) 44, No. 3 (2019) 44, No. 2 (2019) 44, No. 1 (2019) 43, No. 12 (2018) 43, No. 11 (2018) 43, No. 10 (2018) 43, No. 9 (2018) 43, No. 8 (2018) 43, No. 7 (2018) 43, No. 6 (2018) 43, No. 5 (2018) 43, No. 4 (2018) 43, No. 3 (2018) 43, No. 2 (2018) 42, No. 12 (2017) 42, No. 11 (2017) 42, No. 10 (2017) 42, No. 9 (2017) 42, No. 8 (2017) 42, No. 7 (2017) 42, No. 6 (2017) 42, No. 5 (2017) 42, No. 4 (2017) 42, No. 3 (2017) 42, No. 2 (2017) 42, No. 1 (2017) 41, No. 12 (2016) 41, No. 11 (2016) 41, No. 10 (2016) 41, No. 9 (2016) 41, No. 8 (2016) 41, No. 7 (2016) 41, No. 6 (2016) 41, No. 5 (2016) 41, No. 4 (2016) 41, No. 3 (2016) 41, No. 2 (2016) 41, No. 1 (2016) 40, No. 12 (2015) 40, No. 11 (2015) 40, No. 10 (2015) 40, No. 9 (2015) 40, No. 8 (2015) 40, No. 7 (2015) 40, No. 6 (2015) 40, No. 5 (2015) 40, No. 4 (2015) 40, No. 3 (2015) 40, No. 2 (2015) 40, No. 1 (2015) 39, No. 12 (2014) 39, No. 11 (2014) 39, No. 10 (2014) 39, No. 9 (2014) 39, No. 8 (2014) 39, No. 7 (2014) 39, No. 6 (2014) 39, No. 5 (2014) 39, No. 4 (2014) 39, No. 3 (2014) 39, No. 2 (2014) 39, No. 1 (2014) 38, No. 12 (2013) 38, No. 11 (2013) 38, No. 10 (2013) 38, No. 7-9 (2013) 38, No. 4-6 (2013) 38, No. 1-3 (2013) 37, No. 10-12 (2012) 37, No. 9 (2012) 37, No. 8 (2012) 37, No. 7 (2012) 37, No. 4-6 (2012) 37, No. 1-3 (2012) ...and 200 more Volumes
all top 5

#### Authors

 18 Caffarelli, Luis Ángel 17 Lions, Pierre-Louis 16 Feireisl, Eduard 16 Vazquez, Juan Luis 15 Taylor, Michael Eugene 13 Krylov, Nicolaĭ Vladimirovich 12 Friedman, Avner 12 Métivier, Guy 12 Sjöstrand, Johannes 12 Velázquez, Juan J. L. 11 Colombini, Ferruccio 11 Helffer, Bernard 11 Kenig, Carlos Eduardo 11 Tartakoff, David S. 11 Uhlmann, Gunther Alberto 10 Alinhac, Serge 10 Barles, Guy 10 Giga, Yoshikazu 10 Gutiérrez, Cristian E. 10 Ishii, Hitoshi 10 Parenti, Cesare 10 Schonbek, Maria Elena 9 Da Prato, Giuseppe 9 Eskin, Gregory 9 Grillakis, Manoussos G. 9 Grubb, Gerd 9 Lin, Chang-Shou 9 Masmoudi, Nader 9 Tataru, Daniel 9 Zuily, Claude 8 Choe, Hi Jun 8 Koch, Herbert 8 Li, Tatsien 8 Lieberman, Gary M. 8 Parmeggiani, Alberto 8 Ponce, Gustavo 8 Sá Barreto, Antônio 8 Vodev, Georgi 8 Wei, Juncheng 7 Carrillo de la Plata, José Antonio 7 Dauge, Monique 7 Desvillettes, Laurent 7 Dong, Hongjie 7 Felmer, Patricio L. 7 Isakov, Victor M. 7 Lascar, Bernard 7 Laurençot, Philippe 7 Nicaise, Serge 7 Perthame, Benoît 7 Raikov, Georgi D. 7 Rauch, Jeffrey B. 7 Roquejoffre, Jean-Michel 7 Schochet, Steven H. 7 Vasy, András 7 Vega, Luis 7 Wang, Zhi-Qiang 7 Winkler, Michael 7 Zuazua, Enrique 6 Bal, Guillaume 6 Bolley, Pierre 6 Cardoso, Fernando 6 Chae, Dongho 6 Delort, Jean-Marc 6 Dolbeault, Jean 6 Escher, Joachim 6 Holden, Helge 6 Kang, Kyungkeun 6 Lasiecka, Irena 6 Lebeau, Gilles 6 Majda, Andrew J. 6 Melrose, Richard Burt 6 Monneau, Régis 6 Nakamura, Shu 6 Nishitani, Tatsuo 6 Nourrigat, Jean Francois 6 Novotný, Antonín 6 Poláčik, Peter 6 Rivière, Tristan 6 Rothschild, Linda Preiss 6 Ryzhik, Lenya 6 Sire, Yannick 6 Sogge, Christopher D. 6 Tsai, Tai-Peng 6 Valdinoci, Enrico 6 Xin, Zhouping 6 Zhang, Ping 6 Zhou, Yi 6 Zhou, Zhengfang 5 Adimurthi, A. 5 Baouendi, Mohammed Salah 5 Berhanu, Shiferaw 5 Bove, Antonio 5 Brézis, Haïm 5 Chanillo, Sagun 5 Chemin, Jean-Yves 5 Christianson, Hans 5 Chueshov, Igor’ Dmitrievich 5 Danchin, Raphaël 5 Guedes de Figueiredo, Djairo 5 de Hoop, Maarten V. ...and 2,707 more Authors
all top 5

#### Fields

 2,703 Partial differential equations (35-XX) 332 Fluid mechanics (76-XX) 322 Global analysis, analysis on manifolds (58-XX) 247 Operator theory (47-XX) 162 Quantum theory (81-XX) 135 Calculus of variations and optimal control; optimization (49-XX) 128 Differential geometry (53-XX) 91 Statistical mechanics, structure of matter (82-XX) 82 Functional analysis (46-XX) 69 Probability theory and stochastic processes (60-XX) 67 Dynamical systems and ergodic theory (37-XX) 63 Mechanics of deformable solids (74-XX) 55 Optics, electromagnetic theory (78-XX) 48 Biology and other natural sciences (92-XX) 46 Several complex variables and analytic spaces (32-XX) 46 Harmonic analysis on Euclidean spaces (42-XX) 43 Integral equations (45-XX) 42 Potential theory (31-XX) 35 Numerical analysis (65-XX) 34 Systems theory; control (93-XX) 29 Ordinary differential equations (34-XX) 26 Topological groups, Lie groups (22-XX) 24 Relativity and gravitational theory (83-XX) 23 Real functions (26-XX) 20 Abstract harmonic analysis (43-XX) 19 Classical thermodynamics, heat transfer (80-XX) 15 Functions of a complex variable (30-XX) 15 Mechanics of particles and systems (70-XX) 15 Geophysics (86-XX) 10 Integral transforms, operational calculus (44-XX) 10 Manifolds and cell complexes (57-XX) 9 Difference and functional equations (39-XX) 7 Measure and integration (28-XX) 6 Number theory (11-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Algebraic topology (55-XX) 4 Convex and discrete geometry (52-XX) 4 General topology (54-XX) 4 Operations research, mathematical programming (90-XX) 3 Special functions (33-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 $$K$$-theory (19-XX) 2 Approximations and expansions (41-XX) 2 Astronomy and astrophysics (85-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

2,642 Publications have been cited 47,223 times in 32,351 Documents Cited by Year
An extension problem related to the fractional Laplacian. Zbl 1143.26002
Caffarelli, Luis; Silvestre, Luis
2007
The geometry of dissipative evolution equations: The porous medium equation. Zbl 0984.35089
Otto, Felix
2001
A priori bounds for positive solutions of nonlinear elliptic equations. Zbl 0462.35041
Gidas, B.; Spruck, J.
1981
The local regularity of solutions of degenerate elliptic equations. Zbl 0498.35042
Fabes, Eugene B.; Kenig, Carlos E.; Serapioni, Raul P.
1982
Existence and multiplicity results for some superlinear elliptic problems on $$\mathbb{R}^ N$$. Zbl 0837.35043
Bartsch, Thomas; Wang, Zhi-Qiang
1995
Uniform estimates and blow-up behavior for solutions of $$-\Delta{} u =V(x) e^ u$$ in two dimensions. Zbl 0746.35006
Brézis, Haïm; Merle, Frank
1991
On a Dirichlet problem with a singular nonlinearity. Zbl 0362.35031
Crandall, M. G.; Rabinowitz, P. H.; Tartar, L.
1977
The natural generalization of the natural conditions of Ladyzhenskaya and Ural’tseva for elliptic equations. Zbl 0742.35028
Lieberman, Gary M.
1991
Boundedness in the higher-dimensional parabolic-parabolic chemotaxis system with logistic source. Zbl 1290.35139
Winkler, Michael
2010
Exact control of the heat equation. (Contrôle exact de l’équation de la chaleur.) Zbl 0819.35071
Lebeau, G.; Robbiano, L.
1995
$$L^p$$ bounds of solutions of reaction-diffusion equations. Zbl 0421.35009
Alikakos, Nicholas D.
1979
First order quasilinear equations with boundary conditions. Zbl 0418.35024
Bardos, C.; Le Roux, Alain-Yves; Nedelec, J. C.
1979
A chemotaxis system with logistic source. Zbl 1121.37068
Tello, J. Ignacio; Winkler, Michael
2007
Nonlinear elliptic equations with right hand side measures. Zbl 0812.35043
Boccardo, L.; Gallouet, T.
1992
A note on limiting cases of Sobolev embeddings and convolution inequalities. Zbl 0437.35071
Brézis, Haïm; Wainger, Stephen
1980
Global large-data solutions in a chemotaxis-(Navier-)Stokes system modeling cellular swimming in fluid drops. Zbl 1236.35192
Winkler, Michael
2012
Existence of semiclassical bound states of nonlinear Schrödinger equations with potentials of the class $$(V)_ a$$. Zbl 0702.35228
Oh, Yonggeun
1988
Multiple wells in the semi-classical limit. I. Zbl 0546.35053
Helffer, B.; Sjöstrand, J.
1984
Solutions for quasilinear Schrödinger equations via the Nehari method. Zbl 1140.35399
Liu, Jia-quan; Wang, Ya-qi; Wang, Zhi-Qiang
2004
On the Dirichlet problem for quasilinear equations in domains with conical boundary points. Zbl 0515.35024
Tolksdorf, Peter
1983
Exponential decay for the semilinear wave equation with locally distributed damping. Zbl 0716.35010
Zuazua, Enrike
1990
On some compressible fluid models: Korteweg, lubrication, and shallow water systems. Zbl 1106.76436
Bresch, Didier; Desjardins, Benoît; Lin, Chi-Kun
2003
Microlocal defect measures. Zbl 0770.35001
Gérard, Patrick
1991
Nontrivial solution of semilinear elliptic equation with critical exponent in $${\mathbb{R}{}}^ 2$$. Zbl 0763.35034
Cao, D. M.
1992
A Rellich type identity and applications. Zbl 0816.35027
Mitidieri, Enzo
1993
Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data. Zbl 0803.35068
Kozono, Hideo; Yamazaki, Masao
1994
Extension problem and Harnack’s inequality for some fractional operators. Zbl 1209.26013
Stinga, Pablo Raúl; Torrea, José Luis
2010
Large time behaviour of solutions to the Navier-Stokes equations. Zbl 0607.35071
Schonbek, Maria E.
1986
Global solutions to the coupled chemotaxis-fluid equations. Zbl 1275.35005
Duan, Renjun; Lorz, Alexander; Markowich, Peter
2010
Elliptic theory of differential edge operators. I. Zbl 0745.58045
Mazzeo, Rafe
1991
Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. II: Viscosity solutions and uniqueness. Zbl 0716.49023
Lions, P.-L.
1983
On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations. Zbl 0982.35113
Arnold, Anton; Markowich, Peter; Toscani, Giuseppe; Unterreiter, Andreas
2001
Positive solutions of semilinear elliptic systems. Zbl 0818.35027
Clément, Ph.; de Figueiredo, D. G.; Mitidieri, E.
1992
Global existence of smooth solutions to the Vlasov-Poisson system in three dimensions. Zbl 0746.35050
Schaeffer, Jack
1991
An existence theory for water waves and the Boussinesq and Korteweg- deVries scaling limits. Zbl 0577.76030
Craig, Walter
1985
Existence and nonuniqueness for the p-Laplacian: Nonlinear eigenvalues. Zbl 0637.35069
García Azorero, J. P.; Peral Alonso, I.
1987
Regularity of radial extremal solutions for some non-local semilinear equations. Zbl 1231.35076
Capella, Antonio; Dávila, Juan; Dupaigne, Louis; Sire, Yannick
2011
Parabolic and elliptic equations with VMO coefficients. Zbl 1114.35079
Krylov, N. V.
2007
Analysis on Morrey spaces and applications to Navier-Stokes and other evolution equations. Zbl 0771.35047
Taylor, Michael E.
1992
On some linear and nonlinear eigenvalue problems with an indefinite weight function. Zbl 0477.35075
Hess, Peter; Kato, Tosio
1980
Decay of dissipative equations and negative Sobolev spaces. Zbl 1258.35157
Guo, Yan; Wang, Yanjin
2012
Global conservative solutions of the Camassa-Holm equation – a Lagrangian point of view. Zbl 1136.35080
Holden, Helge; Raynaud, Xavier
2007
Heat kernels and maximal $$L^ p$$-$$L^ q$$ estimates for parabolic evolution equations. Zbl 0886.35030
Hieber, Matthias; Prüss, Jan
1997
Regularity criteria for the generalized MHD equations. Zbl 1134.76068
Wu, Jiahong
2008
Convergence of the Vlasov-Poisson system to the incompressible Euler equations. Zbl 0970.35110
Brenier, Y.
2000
On a singular nonlinear Dirichlet problem. Zbl 0692.35047
Coclite, M. M.; Palmieri, G.
1989
Local theory in critical spaces for compressible viscous and heat-conductive gases. Zbl 1007.35071
Danchin, Raphaël
2001
On the barotropic compressible Navier-Stokes equations. Zbl 1149.35070
Mellet, A.; Vasseur, A.
2007
Wave packets and Fourier integral operators. Zbl 0389.35046
Cordoba, Antonio; Fefferman, Charles
1978
Sign changing solutions of superlinear Schrödinger equations. Zbl 1140.35410
Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias
2004
Navier-Stokes flow in $$R^ 3$$ with measures as initial vorticity and Morrey spaces. Zbl 0681.35072
Giga, Yoshikazu; Miyakawa, Tetsuro
1989
On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions. Zbl 0997.35012
Bogachev, V. I.; Krylov, N. V.; Röckner, M.
2001
Convergence of solutions to nonlinear dispersive equations. Zbl 0496.35058
Schonbek, Maria Elena
1982
Classification of solutions for a system of integral equations. Zbl 1073.45005
Chen, Wenxiong; Li, Congming; Ou, Biao
2005
On a class of superlinear elliptic problems. Zbl 0358.35032
Brézis, Haïm; Turner, R. E. L.
1977
Existence of multi-bump solutions for nonlinear Schrödinger equations via variational method. Zbl 0857.35116
Gui, Changfeng
1996
Unique continuation for solutions to PDE’s; between Hörmander’s theorem and Holmgren’s theorem. Zbl 0846.35021
Tataru, Daniel
1995
Blow-up analysis in dimension 2 and a sharp form of Trudinger–Moser inequality. Zbl 1076.46022
2004
Global well-posedness for Euler-Boussinesq system with critical dissipation. Zbl 1284.76089
Hmidi, T.; Keraani, S.; Rousset, F.
2011
Compressible Navier-Stokes equations with density-dependent viscosity and vacuum. Zbl 0982.35084
Yang, Tong; Yao, Zheng-an; Zhu, Changjiang
2001
Radial symmetry of positive solutions of nonlinear elliptic equations in $$\mathbb{R}^ n$$. Zbl 0788.35042
Li, Yi; Ni, Wei-Ming
1993
A nonhomogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. Zbl 1057.35049
Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu
2003
A local estimate for nonlinear equations with discontinuous coefficients. Zbl 0941.35026
Kinnunen, Juha; Zhou, Shulin
1999
Geometric constraints on potentially singular solutions for the $$3-D$$ Euler equations. Zbl 0853.35091
Constantin, Peter; Fefferman, Charles; Majda, Andrew J.
1996
Global existence and temporal decay in Keller-Segel models coupled to fluid equations. Zbl 1304.35481
Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon
2014
Quasineutral limit of an Euler-Poisson system arising from plasma physics. Zbl 0978.82086
Cordier, Stéphane; Grenier, Emmanuel
2000
A damped hyperbolic equation with critical exponent. Zbl 0815.35067
Arrieta, José; Carvalho, Alexandre N.; Hale, Jack K.
1992
Semicontinuous viscosity solutions for Hamilton-Jacobi equations with convex Hamiltonians. Zbl 0732.35014
Barron, E. N.; Jensen, R.
1990
Existence d’ondes de raréfaction pour des systèmes quasi-linéaires hyperboliques multidimensionnels. Zbl 0692.35063
Alinhac, S.
1989
Uniqueness theorems for second order elliptic differential equations. Zbl 0546.35023
Hörmander, Lars
1983
Long time behavior of solutions to the 3D compressible Euler equations with damping. Zbl 1048.35051
Sideris, Thomas C.; Thomases, Becca; Wang, Dehua
2003
Strong solutions of the Navier-Stokes equations for nonhomogeneous incompressible fluids. Zbl 1024.76010
Choe, Hi Jun; Kim, Hyunseok
2003
On the spatially homogeneous Landau equation for hard potentials. I: Existence, uniqueness and smoothness. Zbl 0946.35109
Desvillettes, Laurent; Villani, Cédric
2000
Convexity properties of solutions to some classical variational problems. Zbl 0508.49013
Caffarelli, Luis A.; Spruck, Joel
1982
Non-uniform dependence for the periodic CH equation. Zbl 1193.35189
Himonas, A. Alexandrou; Kenig, Carlos; Misiołek, Gerard
2010
An elliptic equation with singular nonlinearity. Zbl 0634.35031
Diaz, J. I.; Morel, J. M.; Oswald, L.
1987
On the Cauchy problem for the Benjamin-Ono equation. Zbl 0608.35030
Iório, Rafael José jun.
1986
Local existence and uniqueness of solutions of degenerate parabolic equations. Zbl 0738.35033
Anderson, Jeffrey R.
1991
The nonlinear Schrödinger equation with combined power-type nonlinearities. Zbl 1187.35245
Tao, Terence; Visan, Monica; Zhang, Xiaoyi
2007
Sur une classe de problèmes non linéaires avec non linearite positive, croissante, convexe. Zbl 0456.35034
Mignot, Fulbert; Puel, Jean-Pierre
1980
$$W^{1,2}_ p$$ solvability for the Cauchy-Dirichlet problem for parabolic equations with VMO coefficients. Zbl 0816.35045
Bramanti, Marco; Cerutti, M. Christina
1993
Existence and uniqueness of solutions to Fokker-Planck type equations with irregular coefficients. Zbl 1157.35301
Le Bris, C.; Lions, P.-L.
2008
Young measure-valued solutions for non-Newtonian incompressible fluids. Zbl 0840.35079
Bellout, Hamid; Bloom, Frederick; Nečas, Jindřich
1994
On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations. Zbl 0596.35022
Weinstein, Michael I.
1986
Global Strichartz estimates for nontrapping perturbations of the Laplacian. Zbl 0972.35014
Smith, Hart F.; Sogge, Christopher D.
2000
Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation. Zbl 0657.73040
Weinstein, Michael I.
1987
Some global dynamical properties of a class of pattern formation equations. Zbl 0691.35019
Nicolaenko, B.; Scheurer, B.; Temam, R.
1989
Recovering a potential from partial Cauchy data. Zbl 0998.35063
Bukhgeim, Alexander L.; Uhlmann, Gunther
2002
Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. I: The dynamic programming principle and applications. Zbl 0716.49022
Lions, P.-L.
1983
Almost exponential decay near Maxwellian. Zbl 1096.82010
Strain, Robert M.; Guo, Yan
2006
Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains. Zbl 0741.35014
Li, Congming
1991
An embedding theorem and the Harnack inequality for nonlinear subelliptic equations. Zbl 0802.35024
Capogna, Luca; Danielli, Donatella; Garofalo, Nicola
1993
Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions. Zbl 0884.35167
Brown, Russell M.; Uhlmann, Gunther A.
1997
Some remarks on the regularity of minima of anisotropic integrals. Zbl 0795.49025
Fusco, Nicola; Sbordone, Carlo
1993
Profile of blow-up solutions to mean field equations with singular data. Zbl 1062.35146
Bartolucci, Daniele; Chen, Chiun-Chuan; Lin, Chang-Shou; Tarantello, Gabriella
2004
On a class of doubly nonlinear evolution equations. Zbl 0707.34053
Colli, P.; Visintin, A.
1990
The rate at which energy decays in a damped string. Zbl 0818.35072
Cox, Steven; Zuazua, Enrique
1994
Global Lipschitz regularity for a class of quasilinear elliptic equations. Zbl 1220.35065
2011
A family of nonlinear fourth order equations of gradient flow type. Zbl 1187.35131
Matthes, Daniel; McCann, Robert J.; Savaré, Giuseppe
2009
The Kato-Ponce inequality. Zbl 1301.42026
Grafakos, Loukas; Oh, Seungly
2014
Attractors of the Einstein-Klein-Gordon system. Zbl 1462.35386
Fajman, David; Wyatt, Zoe
2021
Liouville type theorems and regularity of solutions to degenerate or singular problems. I: Even solutions. Zbl 07324461
Sire, Yannick; Terracini, Susanna; Vita, Stefano
2021
On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces. Zbl 1462.35286
Danchin, Raphaël; Tan, Jin
2021
Localisation of the first eigenfunction of a convex domain. Zbl 1466.35271
Beck, Thomas
2021
Short-time existence of the $$\alpha$$-Dirac-harmonic map flow and applications. Zbl 07361907
Jost, Jürgen; Zhu, Jingyong
2021
Mild assumptions for the derivation of Einstein’s effective viscosity formula. Zbl 07378230
Gérard-Varet, David; Höfer, Richard M.
2021
Long time existence of solutions to an elastic flow of networks. Zbl 1460.35036
Garcke, Harald; Menzel, Julia; Pluda, Alessandra
2020
Nonlocal operators with singular anisotropic kernels. Zbl 07143800
Chaker, Jamil; Kassmann, Moritz
2020
Free boundary regularity for a multiphase shape optimization problem. Zbl 1430.35279
Spolaor, Luca; Trey, Baptiste; Velichkov, Bozhidar
2020
Reconstruction of piecewise constant layered conductivities in electrical impedance tomography. Zbl 1448.35572
Garde, Henrik
2020
Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations. Zbl 1448.35360
2020
Inverse random source problems for time-harmonic acoustic and elastic waves. Zbl 1461.78007
Li, Jianliang; Helin, Tapio; Li, Peijun
2020
Homogenization of a class of one-dimensional nonconvex viscous Hamilton-Jacobi equations with random potential. Zbl 1437.35046
Kosygina, Elena; Yilmaz, Atilla; Zeitouni, Ofer
2020
Weak vorticity formulation of the incompressible 2D Euler equations in bounded domains. Zbl 07150262
Iftimie, D.; Lopes Filho, M. C.; Nussenzveig Lopes, H. J.
2020
A Liouville-type theorem in a half-space and its applications to the gradient blow-up behavior for superquadratic diffusive Hamilton-Jacobi equations. Zbl 1436.35010
Filippucci, Roberta; Pucci, Patrizia; Souplet, Philippe
2020
Hamilton-Jacobi in metric spaces with a homological term. Zbl 1452.35066
Bessi, Ugo
2020
On two methods for quantitative unique continuation results for some nonlocal operators. Zbl 1460.35061
García-Ferrero, María Ángeles; Rüland, Angkana
2020
Linear and fully nonlinear elliptic equations with $$L_d$$-drift. Zbl 1460.35141
Krylov, Nicolai V.
2020
Mean field games under invariance conditions for the state space. Zbl 1430.35111
Porretta, Alessio; Ricciardi, Michele
2020
On qualitative properties of solutions for elliptic problems with the $$p$$-Laplacian through domain perturbations. Zbl 1437.35402
2020
Strictly locally convex hypersurfaces with prescribed curvature and boundary in space forms. Zbl 1437.35417
Sui, Zhenan
2020
Dynamics of nonnegative solutions of one-dimensional reaction-diffusion equations with localized initial data. II: Generic nonlinearities. Zbl 1439.35200
Matano, H.; Poláčik, P.
2020
The vanishing discount problem for Hamilton-Jacobi equations in the Euclidean space. Zbl 1442.35032
Ishii, Hitoshi; Siconolfi, Antonio
2020
Hot spots in convex domains are in the tips (up to an inradius). Zbl 1444.35034
Steinerberger, Stefan
2020
Solutions with peaks for a coagulation-fragmentation equation. I: Stability of the tails. Zbl 1441.35044
Bonacini, Marco; Niethammer, Barbara; Velázquez, Juan J. L.
2020
On mean curvature flow with forcing. Zbl 1439.35242
Kim, Inwon; Kwon, Dohyun
2020
On the existence of $$L^2$$-valued thermodynamic entropy solutions for a hyperbolic system with boundary conditions. Zbl 1448.35330
Marchesani, Stefano; Olla, Stefano
2020
The Hartree-Fock equations in modulation spaces. Zbl 1448.35420
Bhimani, Divyang G.; Grillakis, Manoussos; Okoudjou, Kasso A.
2020
Exponential stability for the nonlinear Schrödinger equation with locally distributed damping. Zbl 1448.35462
Cavalcanti, Marcelo M.; Corrêa, Wellington J.; Özsarı, Türker; Sepúlveda, Mauricio; Véjar-Asem, Rodrigo
2020
On the improvement of the Hardy inequality due to singular magnetic fields. Zbl 1450.35011
Fanelli, Luca; Krejčiřík, David; Laptev, Ari; Vega, Luis
2020
Nonlocal dissipation measure and $$L^1$$ kinetic theory for fractional conservation laws. Zbl 1448.35536
Alibaud, Nathaël; Andreianov, Boris; Ouédraogo, Adama
2020
Free boundary problems involving singular weights. Zbl 1452.35057
Lamboley, Jimmy; Sire, Yannick; Teixeira, Eduardo V.
2020
Fully nonlinear integro-differential equations with deforming kernels. Zbl 1452.35055
Caffarelli, Luis; Teymurazyan, Rafayel; Urbano, José Miguel
2020
On the unique continuation of solutions to non-local non-linear dispersive equations. Zbl 1451.35164
Kenig, C. E.; Pilod, D.; Ponce, G.; Vega, L.
2020
Almost minimizers of the one-phase free boundary problem. Zbl 1452.35006
De Silva, D.; Savin, O.
2020
An analytic construction of singular solutions related to a critical Yamabe problem. Zbl 1464.35119
Chan, Hardy; DelaTorre, Azahara
2020
Existence of weak solutions to a continuity equation with space time nonlocal Darcy law. Zbl 1459.35233
Caffarelli, Luis; Gualdani, Maria; Zamponi, Nicola
2020
On degenerate circular and shear flows: the point vortex and power law circular flows. Zbl 1458.76036
Coti Zelati, Michele; Zillinger, Christian
2019
Some remarks on mean field games. Zbl 1411.91100
Bertucci, Charles; Lasry, Jean-Michel; Lions, Pierre-Louis
2019
Infinitely many Leray-Hopf solutions for the fractional Navier-Stokes equations. Zbl 1416.35183
De Rosa, Luigi
2019
Inverse problems for quadratic derivative nonlinear wave equations. Zbl 1439.35572
Wang, Yiran; Zhou, Ting
2019
The bulk-edge correspondence for continuous honeycomb lattices. Zbl 1428.82009
Drouot, Alexis
2019
A two-species hyperbolic-parabolic model of tissue growth. Zbl 1425.35198
Gwiazda, Piotr; Perthame, Benoît; Świerczewska-Gwiazda, Agnieszka
2019
Almost sure scattering for the energy-critical NLS with radial data below $$H^1(\mathbb{R}^4)$$. Zbl 1416.35241
Killip, Rowan; Murphy, Jason; Visan, Monica
2019
Vanishing contact structure problem and convergence of the viscosity solutions. Zbl 1437.35155
Chen, Qinbo; Cheng, Wei; Ishii, Hitoshi; Zhao, Kai
2019
Localization of eigenfunctions via an effective potential. Zbl 1432.35061
Arnold, Douglas N.; David, Guy; Filoche, Marcel; Jerison, David; Mayboroda, Svitlana
2019
On weak-strong uniqueness for the compressible Navier-Stokes system with non-monotone pressure law. Zbl 1416.35184
Feireisl, Eduard
2019
Rigorous continuum limit for the discrete network formation problem. Zbl 1428.35652
Haskovec, Jan; Kreusser, Lisa Maria; Markowich, Peter
2019
Fractional Laplacian with Hardy potential. Zbl 07051869
Bogdan, Krzysztof; Grzywny, Tomasz; Jakubowski, Tomasz; Pilarczyk, Dominika
2019
Existence and concentration results for some fractional Schrödinger equations in $$\mathbb{R}^N$$ with magnetic fields. Zbl 1435.35404
Ambrosio, Vincenzo
2019
The Dirichlet problem for the logarithmic Laplacian. Zbl 1423.35390
Chen, Huyuan; Weth, Tobias
2019
Local uniqueness of $$m$$-bubbling sequences for the Gel’fand equation. Zbl 1414.35037
Bartolucci, Daniele; Jevnikar, Aleks; Lee, Youngae; Yang, Wen
2019
Oblique boundary value problems for augmented Hessian equations. III. Zbl 1427.35070
Jiang, Feida; Trudinger, Neil S.
2019
Riesz transforms on a class of non-doubling manifolds. Zbl 1440.42055
2019
Quantitative uniqueness of solutions to second-order elliptic equations with singular lower order terms. Zbl 1427.35026
Davey, Blair; Zhu, Jiuyi
2019
Green’s function for second order elliptic equations with singular lower order coefficients. Zbl 1420.35077
Kim, Seick; Sakellaris, Georgios
2019
A priori estimates for solutions to the relativistic Euler equations with a moving vacuum boundary. Zbl 1420.35211
Hadžić, Mahir; Shkoller, Steve; Speck, Jared
2019
Generalized Bergman kernels on symplectic manifolds of bounded geometry. Zbl 1425.58016
Kordyukov, Yuri A.; Ma, Xiaonan; Marinescu, George
2019
On uniqueness of dissipative solutions to the isentropic Euler system. Zbl 1428.35325
Feireisl, Eduard; Ghoshal, Shyam Sundar; Jana, Animesh
2019
A remark on a surprising result by Bourgain in homogenization. Zbl 1426.35012
Duerinckx, Mitia; Gloria, Antoine; Lemm, Marius
2019
Some remarks about the possible blow-up for the Navier-Stokes equations. Zbl 1428.35277
Chemin, Jean-Yves; Gallagher, Isabelle; Zhang, Ping
2019
Uniform in $$N$$ estimates for a bosonic system of Hartree-Fock-Bogoliubov type. Zbl 1428.35423
Grillakis, M.; Machedon, M.
2019
Global regularity and fast small-scale formation for Euler patch equation in a smooth domain. Zbl 1416.35195
Kiselev, Alexander; Li, Chao
2019
A Lipschitz metric for the Hunter-Saxton equation. Zbl 1420.35305
Carrillo, José Antonio; Grunert, Katrin; Holden, Helge
2019
Infinitely many positive standing waves for Schrödinger equations with competing coefficients. Zbl 1421.35063
Cerami, Giovanna; Molle, Riccardo
2019
Improved parametrix in the glancing region for the interior Dirichlet-to-Neumann map. Zbl 1415.35008
Vodev, Georgi
2019
Emergence of exponentially weighted $$L^p$$-norms and Sobolev regularity for the Boltzmann equation. Zbl 07060030
Alonso, Ricardo
2019
Some quantitative homogenization results in a simple case of interface. Zbl 1420.35031
Josien, Marc
2019
Riesz continuity of the Atiyah-Singer Dirac operator under perturbations of local boundary conditions. Zbl 1428.58019
Bandara, Lashi; Rosén, Andreas
2019
Resonant Hamiltonian systems associated to the one-dimensional nonlinear Schrödinger equation with harmonic trapping. Zbl 1428.35508
Fennell, James
2019
Global-in-time solutions and qualitative properties for the NNLIF neuron model with synaptic delay. Zbl 1423.35148
Cáceres, María J.; Roux, Pierre; Salort, Delphine; Schneider, Ricarda
2019
On uniqueness of solutions to viscous HJB equations with a subquadratic nonlinearity in the gradient. Zbl 1428.35125
Arapostathis, Ari; Biswas, Anup; Caffarelli, Luis
2019
On a Schrödinger operator with a purely imaginary potential in the semiclassical limit. Zbl 1426.35099
Almog, Y.; Grebenkov, D. S.; Helffer, B.
2019
Uniqueness and convergence on equilibria of the Keller-Segel system with subcritical mass. Zbl 1418.35189
Wang, Jun; Wang, Zhian; Yang, Wen
2019
$$C^{1,\alpha}$$ isometric extensions. Zbl 1415.53006
Cao, Wentao; Székelyhidi, László jun.
2019
On Serrin’s overdetermined problem and a conjecture of Berestycki, Caffarelli and Nirenberg. Zbl 1418.35191
Wang, Kelei; Wei, Juncheng
2019
Local strong solutions to the stochastic compressible Navier-Stokes system. Zbl 1390.60226
Breit, Dominic; Feireisl, Eduard; Hofmanová, Martina
2018
Weak vorticity formulation of 2D Euler equations with white noise initial condition. Zbl 1452.35269
Flandoli, Franco
2018
Wulff shape characterizations in overdetermined anisotropic elliptic problems. Zbl 1411.35214
Bianchini, Chiara; Ciraolo, Giulio
2018
Hermitian Yang-Mills metrics on reflexive sheaves over asymptotically cylindrical Kähler manifolds. Zbl 07041355
2018
Well-posedness by noise for scalar conservation laws. Zbl 1420.60081
Gess, Benjamin; Maurelli, Mario
2018
Mass and asymptotics associated to fractional Hardy-Schrödinger operators in critical regimes. Zbl 1406.35465
Ghoussoub, Nassif; Robert, Frédéric; Shakerian, Shaya; Zhao, Mingfeng
2018
Global well-posedness for the derivative non-linear Schrödinger equation. Zbl 1412.35309
Jenkins, Robert; Liu, Jiaqi; Perry, Peter A.; Sulem, Catherine
2018
Homogenization for the Poisson equation in randomly perforated domains under minimal assumptions on the size of the holes. Zbl 1448.60136
Giunti, Arianna; Höfer, Richard; Velázquez, Juan J. L.
2018
$$C^{1,1}$$ regularity for degenerate complex Monge-Ampère equations and geodesic rays. Zbl 1404.32075
Chu, Jianchun; Tosatti, Valentino; Weinkove, Ben
2018
On stability of weak Navier-Stokes solutions with large $$L^{3,\infty}$$ initial data. Zbl 1405.35077
Barker, Tobias; Seregin, G.; Šverák, V.
2018
Stationary vacuum black holes in 5 dimensions. Zbl 1411.83048
Khuri, Marcus; Weinstein, Gilbert; Yamada, Sumio
2018
Global existence for quasilinear wave equations close to Schwarzschild. Zbl 1411.35209
2018
Perron’s method for pathwise viscosity solutions. Zbl 1407.60089
Seeger, Benjamin
2018
A symmetrizable extension of polyconvex thermoelasticity and applications to zero-viscosity limits and weak-strong uniqueness. Zbl 07024450
Christoforou, Cleopatra; Galanopoulou, Myrto; Tzavaras, Athanasios E.
2018
Global well-posedness and scattering for the radial, defocusing, cubic wave equation with almost sharp initial data. Zbl 1421.35219
Dodson, Benjamin
2018
Symmetry and uniqueness of solutions to some Liouville-type equations and systems. Zbl 1391.35156
Gui, Changfeng; Jevnikar, Aleks; Moradifam, Amir
2018
Homogenization and boundary layers in domains of finite type. Zbl 1411.35030
Zhuge, Jinping
2018
On correctors for linear elliptic homogenization in the presence of local defects. Zbl 1423.35092
Blanc, X.; Le Bris, C.; Lions, P.-L.
2018
Smoothness and long time existence for solutions of the porous medium equation on manifolds with conical singularities. Zbl 1409.35122
Roidos, Nikolaos; Schrohe, Elmar
2018
Local energy decay for Lipschitz wavespeeds. Zbl 1421.35198
Shapiro, Jacob
2018
Spectrum and index of two-sided Allen-Cahn minimal hypersurfaces. Zbl 1462.53057
Hiesmayr, Fritz
2018
Optimal density evolution with congestion: $$L^\infty$$ bounds via flow interchange techniques and applications to variational mean field games. Zbl 1414.49026
Lavenant, Hugo; Santambrogio, Filippo
2018
Decoupled field integral equations for electromagnetic scattering from homogeneous penetrable obstacles. Zbl 1388.31010
Vico, Felipe; Greengard, Leslie; Ferrando, Miguel
2018
Krupchyk, Katya; Uhlmann, Gunther
2018
...and 1724 more Documents
all top 5

#### Cited by 17,489 Authors

 140 Wei, Juncheng 139 Papageorgiou, Nikolaos S. 100 Rădulescu, Vicenţiu D. 95 Guo, Boling 95 Mu, Chunlai 94 Vazquez, Juan Luis 89 Tang, Xianhua 86 Winkler, Michael 84 Alves, Claudianor Oliveira 82 Feireisl, Eduard 81 Carrillo de la Plata, José Antonio 76 Helffer, Bernard 76 Uhlmann, Gunther Alberto 73 Tan, Zhong 66 Valdinoci, Enrico 62 Lin, Chang-Shou 62 Rossi, Julio Daniel 61 Hayashi, Nakao 61 Kenig, Carlos Eduardo 60 Dong, Hongjie 60 Wang, Shu 58 Ruzhansky, Michael V. 57 Fan, Jishan 56 Do Ó, João M. Bezerra 56 Dolbeault, Jean 56 Yamamoto, Masahiro 55 Mingione, Giuseppe 55 Perthame, Benoît 55 Zou, Wenming 54 Naumkin, Pavel Ivanovich 54 Röckner, Michael 54 Zuazua, Enrique 53 Byun, Sun-Sig 53 Fang, Daoyuan 53 Masmoudi, Nader 53 Wang, Zhi-Qiang 51 Del Pino, Manuel A. 50 Caffarelli, Luis Ángel 49 Boccardo, Lucio 49 Himonas, A. Alexandrou 49 Lions, Pierre-Louis 49 Xin, Zhouping 49 Yin, Zhaoyang 48 Coclite, Giuseppe Maria 48 Lassas, Matti 48 Pistoia, Angela 47 Nakamura, Gen 47 Peng, Shuangjie 47 Zhao, Huijiang 46 Ambrosio, Vincenzo 46 Lu, Guozhen 46 Miyagaki, Olimpio Hiroshi 46 Sire, Yannick 46 Wu, Jiahong 45 Figueiredo, Giovany Malcher 44 Lasiecka, Irena 44 Miao, Changxing 44 Ozawa, Tohru 44 Ponce, Gustavo 44 Vega, Luis 44 Yao, Zhengan 43 Diaz Diaz, Jesus Ildefonso 43 Shaposhnikov, Stanislav V. 43 Yang, Tong 43 Yin, Jingxue 42 Bogachev, Vladimir Igorevich 42 Chae, Dongho 42 Chen, Gui-Qiang G. 42 Ferreira, Lucas Catão de Freitas 41 Giga, Yoshikazu 41 Wang, Lihe 41 Yang, Dachun 41 Zhu, Changjiang 40 Figalli, Alessio 40 Karlsen, Kenneth Hvistendahl 40 Repovš, Dušan D. 40 Sjöstrand, Johannes 39 Byeon, Jaeyoung 39 Cao, Daomin 39 Li, Yongsheng 39 Titi, Edriss Saleh 39 Zhang, Binlin 39 Zhang, Ping 39 Zhang, Zhifei 38 Cianchi, Andrea 38 Desvillettes, Laurent 38 Garofalo, Nicola 38 Nicola, Fabio 38 Quaas, Alexander 37 Cui, Shangbin 37 Mitrea, Marius 37 Musso, Monica 37 Sawano, Yoshihiro 37 Squassina, Marco 37 Vasseur, Alexis F. 37 Zhang, Jian 36 Ding, Yanheng 36 Dipierro, Serena 36 Duan, Renjun 36 Felmer, Patricio L. ...and 17,389 more Authors
all top 5

#### Cited in 673 Journals

 2,488 Journal of Differential Equations 1,830 Journal of Mathematical Analysis and Applications 1,549 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1,271 Communications in Partial Differential Equations 887 Journal of Functional Analysis 757 Archive for Rational Mechanics and Analysis 741 Calculus of Variations and Partial Differential Equations 593 Journal of Mathematical Physics 575 Communications in Mathematical Physics 567 Discrete and Continuous Dynamical Systems 535 Transactions of the American Mathematical Society 532 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 449 Journal de Mathématiques Pures et Appliquées. Neuvième Série 401 Proceedings of the American Mathematical Society 397 SIAM Journal on Mathematical Analysis 391 Applicable Analysis 371 Communications on Pure and Applied Analysis 341 ZAMP. Zeitschrift für angewandte Mathematik und Physik 333 Nonlinear Analysis. Theory, Methods & Applications 330 Mathematical Methods in the Applied Sciences 329 Nonlinear Analysis. Real World Applications 300 Advances in Mathematics 281 Annali di Matematica Pura ed Applicata. Serie Quarta 273 Mathematische Annalen 269 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 267 NoDEA. Nonlinear Differential Equations and Applications 266 Comptes Rendus. Mathématique. Académie des Sciences, Paris 246 Applied Mathematics Letters 243 The Journal of Geometric Analysis 222 Communications in Contemporary Mathematics 218 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 200 Journal of Evolution Equations 199 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 188 Computers & Mathematics with Applications 187 Discrete and Continuous Dynamical Systems. Series B 185 Duke Mathematical Journal 182 Boundary Value Problems 175 Applied Mathematics and Computation 171 Journal of Mathematical Sciences (New York) 168 Physica D 163 Acta Applicandae Mathematicae 163 Journal of Mathematical Fluid Mechanics 162 Acta Mathematica Sinica. English Series 161 Potential Analysis 157 Mathematische Zeitschrift 150 Journal d’Analyse Mathématique 146 Communications on Pure and Applied Mathematics 143 Nonlinearity 142 Annales de l’Institut Fourier 142 Science China. Mathematics 138 Complex Variables and Elliptic Equations 137 Advanced Nonlinear Studies 136 Mathematische Nachrichten 135 Journal of Hyperbolic Differential Equations 132 Journal of Computational Physics 129 Applied Mathematics and Optimization 127 Journal of Statistical Physics 126 Journal of Dynamics and Differential Equations 122 Manuscripta Mathematica 119 Annales Henri Poincaré 119 Discrete and Continuous Dynamical Systems. Series S 118 Abstract and Applied Analysis 112 Advances in Nonlinear Analysis 110 Revista Matemática Iberoamericana 109 Inventiones Mathematicae 109 Journal of Computational and Applied Mathematics 107 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 107 SIAM Journal on Control and Optimization 102 Quarterly of Applied Mathematics 97 Chinese Annals of Mathematics. Series B 97 Journal of the European Mathematical Society (JEMS) 92 Journal of Nonlinear Science 87 Stochastic Processes and their Applications 85 The Journal of Fourier Analysis and Applications 83 Acta Mathematicae Applicatae Sinica. English Series 80 Monatshefte für Mathematik 80 Zeitschrift für Analysis und ihre Anwendungen 80 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 80 Journal of Pseudo-Differential Operators and Applications 77 Inverse Problems 76 Numerische Mathematik 75 Mediterranean Journal of Mathematics 74 Mathematics of Computation 74 Kinetic and Related Models 73 Analysis & PDE 72 Rocky Mountain Journal of Mathematics 70 Bulletin des Sciences Mathématiques 69 Proceedings of the Japan Academy. Series A 69 Annales de l’Institut Henri Poincaré. Physique Théorique 67 Integral Equations and Operator Theory 65 Publications of the Research Institute for Mathematical Sciences, Kyoto University 64 SIAM Journal on Applied Mathematics 63 Letters in Mathematical Physics 62 Inverse Problems and Imaging 61 Milan Journal of Mathematics 60 Journal of Scientific Computing 59 Rendiconti del Seminario Matematico della Università di Padova 57 Reviews in Mathematical Physics 57 Bulletin of the American Mathematical Society. New Series 54 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI ...and 573 more Journals
all top 5

#### Cited in 62 Fields

 27,160 Partial differential equations (35-XX) 5,144 Fluid mechanics (76-XX) 2,342 Global analysis, analysis on manifolds (58-XX) 2,236 Operator theory (47-XX) 1,901 Calculus of variations and optimal control; optimization (49-XX) 1,540 Numerical analysis (65-XX) 1,370 Biology and other natural sciences (92-XX) 1,337 Statistical mechanics, structure of matter (82-XX) 1,334 Quantum theory (81-XX) 1,326 Functional analysis (46-XX) 1,261 Differential geometry (53-XX) 1,224 Probability theory and stochastic processes (60-XX) 1,152 Dynamical systems and ergodic theory (37-XX) 1,067 Mechanics of deformable solids (74-XX) 1,008 Ordinary differential equations (34-XX) 995 Systems theory; control (93-XX) 863 Harmonic analysis on Euclidean spaces (42-XX) 589 Optics, electromagnetic theory (78-XX) 553 Real functions (26-XX) 543 Integral equations (45-XX) 451 Potential theory (31-XX) 382 Several complex variables and analytic spaces (32-XX) 308 Classical thermodynamics, heat transfer (80-XX) 282 Relativity and gravitational theory (83-XX) 277 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 209 Functions of a complex variable (30-XX) 209 Geophysics (86-XX) 205 Mechanics of particles and systems (70-XX) 187 Topological groups, Lie groups (22-XX) 181 Operations research, mathematical programming (90-XX) 173 Measure and integration (28-XX) 155 Abstract harmonic analysis (43-XX) 89 Approximations and expansions (41-XX) 87 Astronomy and astrophysics (85-XX) 84 Difference and functional equations (39-XX) 82 Integral transforms, operational calculus (44-XX) 82 Information and communication theory, circuits (94-XX) 74 Special functions (33-XX) 64 Convex and discrete geometry (52-XX) 52 Number theory (11-XX) 49 Computer science (68-XX) 47 Manifolds and cell complexes (57-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 43 Algebraic geometry (14-XX) 29 General topology (54-XX) 29 Statistics (62-XX) 27 History and biography (01-XX) 24 Combinatorics (05-XX) 23 Nonassociative rings and algebras (17-XX) 19 General and overarching topics; collections (00-XX) 19 $$K$$-theory (19-XX) 18 Algebraic topology (55-XX) 12 Geometry (51-XX) 9 Sequences, series, summability (40-XX) 8 Group theory and generalizations (20-XX) 4 Mathematical logic and foundations (03-XX) 3 Field theory and polynomials (12-XX) 3 Associative rings and algebras (16-XX) 2 Commutative algebra (13-XX) 2 Mathematics education (97-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX)