## Communications on Pure and Applied Analysis

 Short Title: Commun. Pure Appl. Anal. Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO; Shanghai Jiao Tong University, Shanghai ISSN: 1534-0392; 1553-5258/e Online: https://www.aimsciences.org/journal/1534-0392 Comments: Indexed cover-to-cover
 Documents Indexed: 2,327 Publications (since 2002) References Indexed: 1,292 Publications with 35,568 References.
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### Authors

 26 Papageorgiou, Nikolaos S. 13 Tang, Xianhua 13 Zelik, Sergey V. 11 Goubet, Olivier 11 Kloeden, Peter Eris 10 Alves, Claudianor Oliveira 10 Miranville, Alain M. 10 Pata, Vittorino 10 Rossi, Julio Daniel 10 Strichartz, Robert S. 9 Caraballo Garrido, Tomás 9 Feng, Zhaosheng 9 Tachim Medjo, Theodore 8 Grasselli, Maurizio 7 Fan, Jishan 7 Ha, Seung-Yeal 7 Hu, Shouchuan 7 Li, Wan-Tong 7 Mu, Chunlai 7 Ozawa, Tohru 7 Pecher, Hartmut 7 Shi, Junping 7 Wang, Wenjun 7 Yao, Zhengan 7 Zhou, Jun 6 Fang, Daoyuan 6 Giné, Jaume 6 Li, Congming 6 Miyagaki, Olimpio Hiroshi 6 Rădulescu, Vicenţiu D. 6 Valdinoci, Enrico 6 Valls Anglés, Cláudia 6 Wang, Lihe 6 Yotsutani, Shoji 6 Zajączkowski, Wojciech M. 5 Brunner, Hermann 5 Chen, Chiun-Chuan 5 Chueshov, Igor’ Dmitrievich 5 Conti, Monica C. 5 Gasiński, Leszek 5 Guo, Zongming 5 Ju, Hongjie 5 Li, Yachun 5 Liu, Chein-Shan 5 Ma, Li 5 Messaoudi, Salim A. 5 Nolasco de Carvalho, Alexandre 5 Ogawa, Takayoshi 5 Peral Alonso, Ireneo 5 Qin, Yuming 5 Reyes, Guillermo 5 Shen, Wenxian 5 Sheng, Wancheng 5 Shivaji, Ratnasingham 5 Sommen, Franciscus 5 Teng, Kaimin 5 Valero, José 5 Wang, Shu 5 Wei, Juncheng 5 Wu, Jianhua 5 Wu, Tsungfang 5 Yanagida, Eiji 5 Yang, Dachun 5 Yin, Jingxue 5 Zahrouni, Ezzeddine 5 Zhang, Jihui 5 Zhang, Yimin 4 Abdellaoui, Boumediene 4 Amirat, Youcef Aït 4 Aouaoui, Sami 4 Chen, Jianqing 4 Chepyzhov, Vladimir V. 4 Cho, Yonggeun 4 Colliander, James E. 4 Cortázar, Carmen 4 Deugoue, Gabriel 4 Ding, Yanheng 4 Do Ó, João M. Bezerra 4 Ferreira, Lucas Catão de Freitas 4 García-Huidobro, Marta 4 Guibé, Olivier 4 Guo, Jong-Shenq 4 Guo, Yuxia 4 Guo, Zhiming 4 Han, Maoan 4 Hwang, Gyeongha 4 Jian, Huaiyu 4 Karlsen, Kenneth Hvistendahl 4 Kawohl, Bernd 4 Kurata, Kazuhiro 4 Langa, Jose’ Antonio 4 Li, Fucai 4 Li, Tong 4 Llibre, Jaume 4 Lu, Guozhen 4 Marín-Rubio, Pedro 4 Mercaldo, Anna 4 Naumkin, Pavel Ivanovich 4 Pawlow, Irena 4 Pražák, Dalibor ...and 3,252 more Authors
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### Fields

 1,793 Partial differential equations (35-XX) 292 Fluid mechanics (76-XX) 259 Ordinary differential equations (34-XX) 252 Dynamical systems and ergodic theory (37-XX) 166 Biology and other natural sciences (92-XX) 165 Operator theory (47-XX) 122 Global analysis, analysis on manifolds (58-XX) 99 Mechanics of deformable solids (74-XX) 98 Calculus of variations and optimal control; optimization (49-XX) 95 Numerical analysis (65-XX) 86 Functional analysis (46-XX) 82 Integral equations (45-XX) 77 Harmonic analysis on Euclidean spaces (42-XX) 71 Probability theory and stochastic processes (60-XX) 54 Systems theory; control (93-XX) 50 Differential geometry (53-XX) 48 Real functions (26-XX) 45 Statistical mechanics, structure of matter (82-XX) 36 Classical thermodynamics, heat transfer (80-XX) 30 Potential theory (31-XX) 30 Quantum theory (81-XX) 27 Measure and integration (28-XX) 26 Difference and functional equations (39-XX) 23 Mechanics of particles and systems (70-XX) 23 Optics, electromagnetic theory (78-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Operations research, mathematical programming (90-XX) 15 Computer science (68-XX) 14 Functions of a complex variable (30-XX) 14 Approximations and expansions (41-XX) 14 Statistics (62-XX) 13 Special functions (33-XX) 12 Geophysics (86-XX) 10 General and overarching topics; collections (00-XX) 8 Integral transforms, operational calculus (44-XX) 8 Information and communication theory, circuits (94-XX) 7 Abstract harmonic analysis (43-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Relativity and gravitational theory (83-XX) 5 Astronomy and astrophysics (85-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Number theory (11-XX) 4 Sequences, series, summability (40-XX) 4 Convex and discrete geometry (52-XX) 3 Topological groups, Lie groups (22-XX) 3 General topology (54-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

1,641 Publications have been cited 11,218 times in 9,602 Documents Cited by Year
A Brezis-Nirenberg result for non-local critical equations in low dimension. Zbl 1302.35413
2013
On the stationary solutions of generalized reaction diffusion equations with $$p$$& $$q$$-Laplacian. Zbl 1210.35090
Cherfils, L.; Il’yasov, Y.
2005
Convergence of generalized proximal point algorithms. Zbl 1095.90115
Marino, Giuseppe; Xu, Hong-Kun
2004
Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations. Zbl 1264.35237
Wei, Juncheng; Yao, Wei
2012
On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1172.35417
Gilardi, Gianni; Miranville, A.; Schimperna, Giulio
2009
Quasilinear Schrödinger equations involving concave and convex nonlinearities. Zbl 1171.35118
do Ó, João Marcos; Severo, Uberlandio
2009
A general multipurpose interpolation procedure: The magic points. Zbl 1184.65020
Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.; Pau, S. H.
2009
A Liouville type theorem for an integral system. Zbl 1134.45007
Ma, Li; Chen, Dezhong
2006
The two-dimensional Riemann problem for isentropic Chaplygin gas dynamic system. Zbl 1197.35164
Guo, Lihui; Sheng, Wancheng; Zhang, Tong
2010
Reduced symmetry elements in linear elasticity. Zbl 1154.74041
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
2009
Periodic solutions of nonlinear periodic differential systems with a small parameter. Zbl 1139.34036
Buică, Adriana; Françoise, Jean-Pierre; Llibre, Jaume
2007
On fractional Schrödinger equations in Sobolev spaces. Zbl 1338.35466
Hong, Younghun; Sire, Yannick
2015
Persistent regional null controllability for a class of degenerate parabolic equations. Zbl 1063.35092
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
2004
Asymptotic regularity of solutions of a nonautonomous damped wave equation with a critical growth exponent. Zbl 1197.35168
Zelik, Sergey
2004
Uniqueness and boundary behavior of large solutions to elliptic problems with singular weights. Zbl 1174.35386
Chuaqui, M.; Cortazar, C.; Elgueta, M.; Garcia-Melian, J.
2004
Concentration phenomenon for fractional nonlinear Schrödinger equations. Zbl 1304.35634
Chen, Guoyuan; Zheng, Youquan
2014
Eigenvalue, maximum principle and regularity for fully non linear homogeneous operators. Zbl 1132.35032
Birindelli, I.; Demengel, F.
2007
Weakly dissipative semilinear equations of viscoelasticity. Zbl 1101.35016
Conti, Monica; Pata, Vittorino
2005
Some observations on the Green function for the ball in the fractional Laplace framework. Zbl 1334.35383
Bucur, Claudia
2016
A result on the existence of global attractors for semigroups of closed operators. Zbl 1152.47046
Pata, Vittorino; Zelik, Sergey
2007
Global weak solutions for a viscous liquid-gas model with singular pressure law. Zbl 1175.76143
Evje, Steinar; Karlsen, Kenneth Hvistendahl
2009
A blowup alternative result for fractional nonautonomous evolution equation of Volterra type. Zbl 1397.35331
Chen, Pengyu; Zhang, Xuping; Li, Yongxiang
2018
On quasilinear elliptic equations related to some Caffarelli-Kohn-Nirenberg inequalities. Zbl 1148.35324
Abdellaoui, B.; Peral, I.
2003
Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion. Zbl 1213.35266
Bertozzi, Andrea L.; Slepčev, Dejan
2010
Renormalized solutions of an anisotropic reaction-diffusion-advection system with $$L^1$$ data. Zbl 1134.35371
Bendahmane, Mostafa; Karlsen, Kenneth H.
2006
Regularity of solutions for a system of integral equations. Zbl 1073.45004
Chen, Wenxiong; Li, Congming
2005
Blowup in higher dimensional two species chemotactic systems. Zbl 1278.35250
Biler, Piotr; Espejo, Elio E.; Guerra, Ignacio
2013
Positive solutions to a Dirichlet problem with $$p$$-Laplacian and concave-convex nonlinearity depending on a parameter. Zbl 1270.35219
Marano, Salvatore A.; Papageorgiou, Nikolaos S.
2013
Existence and multiplicity of solutions for Kirchhoff type problem with critical exponent. Zbl 1264.65206
Xie, Qi-Lin; Wu, Xing-Ping; Tang, Chun-Lei
2013
Quasilinear anisotropic degenerate parabolic equations with time-space dependent diffusion coefficients. Zbl 1084.35034
Chen, Gui-Qiang; Karlsen, Kenneth H.
2005
Asymptotic behavior of a parabolic-hyperbolic system. Zbl 1079.35022
Grasselli, Maurizio; Pata, Vittorino
2004
The Nehari manifold for fractional systems involving critical nonlinearities. Zbl 06636876
He, Xiaoming; Squassina, Marco; Zou, Wenming
2016
On existence and concentration behavior of ground state solutions for a class of problems with critical growth. Zbl 1183.35121
Alves, C. O.; Souto, M. A. S.
2002
A new approach to study the Vlasov-Maxwell system. Zbl 1037.35088
Klainerman, Sergiu; Staffilani, Gigliola
2002
Asymptotic behavior of solutions to the phase-field equations with Neumann boundary conditions. Zbl 1082.35033
Zhang, Zhenhua
2005
An evolution equation involving the normalized $$p$$-Laplacian. Zbl 1229.35132
Does, Kerstin
2011
Stability result for the Timoshenko system with a time-varying delay term in the internal feedbacks. Zbl 1228.35242
Kirane, Mokhtar; Said-Houari, Belkacem; Anwar, Mohamed Naim
2011
Twelve limit cycles in a cubic order planar system with $$Z_2$$ symmetry. Zbl 1085.34028
Yu, P.; Han, M.
2004
The extremal solution of a boundary reaction problem. Zbl 1156.35039
Dávila, Juan; Dupaigne, Louis; Montenegro, Marcelo
2008
Localized BMO and BLO spaces on RD-spaces and applications to Schrödinger operators. Zbl 1188.42008
Yang, Dachun; Yang, Dongyong; Zhou, Yuan
2010
A logistic equation with refuge and nonlocal diffusion. Zbl 1180.45002
García-Melián, J.; Rossi, Julio D.
2009
Time-frequency analysis of Fourier integral operators. Zbl 1196.42027
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2010
Friedlander’s eigenvalue inequalities and the Dirichlet-to-Neumann semigroup. Zbl 1267.35139
Arendt, Wolfgang; Mazzeo, Rafe
2012
Super polyharmonic property of solutions for PDE systems and its applications. Zbl 1270.35224
Chen, Wenxiong; Li, Congming
2013
A remark on the damped wave equation. Zbl 1140.35533
Pata, Vittorino; Zelik, Sergey
2006
Traveling waves of a delayed diffusive SIR epidemic model. Zbl 1422.35106
Li, Yan; Li, Wan-Tong; Lin, Guo
2015
Homoclinic solutions of discrete $$\phi$$-Laplacian equations with mixed nonlinearities. Zbl 1396.39008
Lin, Genghong; Zhou, Zhan
2018
Remarks on some dispersive estimates. Zbl 1232.35136
Cho, Yonggeun; Ozawa, Tohru; Xia, Suxia
2011
Eventual compactness for semiflows generated by nonlinear age-structured models. Zbl 1083.47061
Magal, P.; Thieme, H. R.
2004
Multicomponent reactive flows: global-in-time existence for large data. Zbl 1323.76091
Feireisl, Eduard; Petzeltová, Hana; Trivisa, Konstantina
2008
Qualitative analysis and travelling wave solutions for the SI model with vertical transmission. Zbl 1264.35254
Ducrot, Arnaud; Langlais, Michel; Magal, Pierre
2012
Smooth attractors for the Brinkman-Forchheimer equations with fast growing nonlinearities. Zbl 1264.35054
Kalantarov, Varga K.; Zelik, Sergey
2012
A fixed point result with applications in the study of viscoplastic frictionless contact problems. Zbl 1171.47047
Sofonea, Mircea; Avramescu, Cezar; Matei, Andaluzia
2008
On the orbital stability of fractional Schrödinger equations. Zbl 1282.35319
Cho, Yonggeun; Hajaiej, Hichem; Hwang, Gyeongha; Ozawa, Tohru
2014
Nonsimultaneous blow-up for a quasilinear parabolic system with reaction at the boundary. Zbl 1093.35031
Brändle, C.; Quirós, F.; Rossi, Julio D.
2005
A sixth order Cahn-Hilliard type equation arising in oil-water-surfactant mixtures. Zbl 1229.35108
Pawłow, Irena; Zajączkowski, Wojciech M.
2011
High order product integration methods for a Volterra integral equation with logarithmic singular kernel. Zbl 1066.65162
Diogo, T.; Franco, N. B.; Lima, P.
2004
Multiple positive solutions for Kirchhoff type problems with singularity. Zbl 1270.35242
Liu, Xing; Sun, Yijing
2013
Compactness of discrete approximate solutions to parabolic PDEs – application to a turbulence model. Zbl 1308.35208
Gallouët, T.; Latché, J.-C.
2012
Modeling the spontaneous curvature effects in static cell membrane deformations by a phase field formulation. Zbl 1078.92004
Du, Q.; Liu, C.; Ryham, R.; Wang, X.
2005
Pullback exponential attractors for evolution processes in Banach spaces: theoretical results. Zbl 1390.37126
De Carvalho, Alexandre Nolasco; Sonner, Stefanie
2013
High multiplicity and complexity of the bifurcation diagrams of large solutions for a class of superlinear indefinite problems. Zbl 1281.34027
López-Góme, Julián; Tellini, Andrea; Zanolin, Fabio
2014
Comparison of numerical methods for fractional differential equations. Zbl 1133.65115
Ford, Neville J.; Connolly, Joseph A.
2006
Smoothing transformation and piecewise polynomial projection methods for weakly singular Fredholm integral equations. Zbl 1133.65118
Pedas, A.; Vainikko, G.
2006
Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis. Zbl 1264.65148
Saito, Norikazu
2012
Factor-analysis of nonlinear mappings: $$p$$-regularity theory. Zbl 1053.58004
Tret’yakov, Alexey; Marsden, Jerrold E.
2003
Solutions of a pure critical exponent problem involving the half-Laplacian in annular-shaped domains. Zbl 1236.35073
Capella, Antonio
2011
Null controllability and stabilization of the linear Kuramoto-Sivashinsky equation. Zbl 1188.93018
Cerpa, Eduardo
2010
Distributional chaos for strongly continuous semigroups of operators. Zbl 1287.47007
Albanese, Angela A.; Barrachina, Xavier; Mangino, Elisabetta M.; Peris, Alfredo
2013
Existence of nontrivial steady states for populations structured with respect to space and a continuous trait. Zbl 1303.92091
Arnold, Anton; Desvillettes, Laurent; Prévost, Céline
2012
Coexistence and extinction in the Volterra-Lotka competition model with nonlocal dispersal. Zbl 1264.35113
Hetzer, Georg; Nguyen, Tung; Shen, Wenxian
2012
The singularity analysis of solutions to some integral equations. Zbl 1137.45002
Li, Congming; Lim, Jisun
2007
Semi-positone nonlocal boundary value problems of arbitrary order. Zbl 1200.34025
Webb, J. R. L.; Infante, Gennaro
2010
The vanishing pressure limits of Riemann solutions to the Chaplygin gas equations with a source term. Zbl 1357.35221
Guo, Lihui; Li, Tong; Yin, Gan
2017
The geometry of a vorticity model equation. Zbl 1372.58005
Escher, Joachim; Kolev, Boris; Wunsch, Marcus
2012
Vorticity and regularity for flows under the Navier boundary condition. Zbl 1132.35067
Beirão da Veiga, H.
2006
Completely monotonic functions involving divided differences of the di- and tri-gamma functions and some applications. Zbl 1181.26024
Qi, Feng; Guo, Bai-Ni
2009
Kirchhoff systems with nonlinear source and boundary damping terms. Zbl 1223.35082
Autuori, Giuseppina; Pucci, Patrizia
2010
The inverse Fueter mapping theorem. Zbl 1258.30022
Colombo, Fabrizio; Sabadini, Irene; Sommen, Frank
2011
Remarks on the strong maximum principle for viscosity solutions to fully nonlinear parabolic equations. Zbl 1065.35084
Da Lio, Francesca
2004
The Poisson problem for the exterior derivative operator with Dirichlet boundary condition in nonsmooth domains. Zbl 1157.58007
Reyes, Guillermo; Vázquez, Juan-Luis
2008
Global gradient estimates in elliptic problems under minimal data and domain regularity. Zbl 1325.35027
2015
Elliptic equations having a singular quadratic gradient term and a changing sign datum. Zbl 1266.35103
Giachetti, Daniela; Petitta, Francesco; Segura De León, Sergio
2012
Existence of solutions for singularly perturbed Schrödinger equations with nonlocal part. Zbl 1270.35218
Yang, Minbo; Ding, Yanheng
2013
On semilinear elliptic equations involving critical Sobolev exponents and sign-changing weight function. Zbl 1156.35046
Wu, Tsung-Fang
2008
Bounds on Sobolev norms for the defocusing nonlinear Schrödinger equation on general flat tori. Zbl 1189.35301
Catoire, F.; Wang, W. M.
2010
Homoclinic orbits for a class of Hamiltonian systems with superquadratic or asymptotically quadratic potentials. Zbl 1231.37033
Wang, Jun; Xu, Junxiang; Zhang, Fubao
2011
Long time behavior for the inhomogeneous PME in a medium with slowly decaying density. Zbl 1169.35313
Reyes, Guillermo; Vázquez, Juan-Luis
2009
Convergence to equilibrium for the backward Euler scheme and applications. Zbl 1215.65132
Merlet, Benoît; Pierre, Morgan
2010
A Serrin-type regularity criterion for the Navier-Stokes equations via one velocity component. Zbl 1278.35184
Zhang, Zujin
2013
The effect of delay on a diffusive predator-prey system with Holling type-II predator functional response. Zbl 1264.35120
Chen, Shanshan; Shi, Junping; Wei, Junjie
2013
Stability of rarefaction wave and boundary layer for outflow problem on the two-fluid Navier-Stokes-Poisson equations. Zbl 1264.76132
Duan, Renjun; Yang, Xiongfeng
2013
Equivalence of invariant measures and stationary statistical solutions for the autonomous globally modified Navier-Stokes equations. Zbl 1168.35412
Kloeden, P. E.; Marín-Rubio, Pedro; Real, José
2009
Initial-boundary value problems for the coupled modified Korteweg-de Vries equation on the interval. Zbl 1397.35262
Tian, Shou-Fu
2018
Homoclinic orbits for discrete Hamiltonian systems with local super-quadratic conditions. Zbl 1401.39017
Zhang, Qinqin
2019
Existence and regularity results for the primitive equations in two space dimensions. Zbl 1060.35033
Petcu, M.; Temam, R.; Wirosoetisno, D.
2004
Ground state solutions for fractional Schrödinger equations with critical Sobolev exponent. Zbl 1334.35402
Teng, Kaimin; He, Xiumei
2016
On the blow-up boundary solutions of the Monge-Ampére equation with singular weights. Zbl 1266.35018
Yang, Haitao; Chang, Yibin
2012
Dynamics of non-autonomous nonclassical diffusion equations on $$\mathbb R^n$$. Zbl 1264.35052
Anh, Cung The; Bao, Tang Quoc
2012
Long-time dynamics of the parabolic $$p$$-Laplacian equation. Zbl 1267.35043
Geredeli, Pelin G.; Khanmamedov, Azer
2013
Radial quasilinear elliptic problems with singular or vanishing potentials. Zbl 1481.35234
Badiale, Marino; Guida, Michela; Rolando, Sergio
2022
Subharmonic solutions of bounded coupled Hamiltonian systems with sublinear growth. Zbl 07461711
Chen, Fanfan; Qian, Dingbian; Sun, Xiying; Wu, Yinyin
2022
A convergent finite difference method for computing minimal Lagrangian graphs. Zbl 07474340
Hamfeldt, Brittany Froese; Lesniewski, Jacob
2022
Analytical and numerical monotonicity results for discrete fractional sequential differences with negative lower bound. Zbl 1469.39003
Goodrich, Christopher S.; Lyons, Benjamin; Velcsov, Mihaela T.
2021
Semilinear Caputo time-fractional pseudo-parabolic equations. Zbl 1460.35381
Tuan, Nguyen Huy; Au, Vo Van; Xu, Runzhang
2021
A note on Riemann-Liouville fractional Sobolev spaces. Zbl 1472.46035
Carbotti, Alessandro; Comi, Giovanni E.
2021
Limit cycle bifurcations in a class of piecewise smooth cubic systems with multiple parameters. Zbl 1465.34036
Cai, Meilan; Han, Maoan
2021
Scattering of the focusing energy-critical NLS with inverse square potential in the radial case. Zbl 1460.35335
Yang, Kai
2021
A stability result for the Steklov Laplacian eigenvalue problem with a spherical obstacle. Zbl 1460.35086
Paoli, Gloria; Piscitelli, Gianpaolo; Sannipoli, Rossanno
2021
High-order Wong-Zakai approximations for non-autonomous stochastic $$p$$-Laplacian equations on $$\mathbb{R}^N$$. Zbl 1460.35404
Zhao, Wenqiang; Zhang, Yijin
2021
Dimension estimate of attractors for complex networks of reaction-diffusion systems applied to an ecological model. Zbl 1460.35045
Cantin, Guillaume; Aziz-Alaoui, M. A.
2021
Random data theory for the cubic fourth-order nonlinear Schrödinger equation. Zbl 1460.35323
Dinh, Van Duong
2021
Elliptic problems with rough boundary data in generalized Sobolev spaces. Zbl 1460.35116
Anop, Anna; Denk, Robert; Murach, Aleksandr
2021
Further regularity and uniqueness results for a non-isothermal Cahn-Hilliard equation. Zbl 1460.35289
Ipocoana, Erica; Zafferi, Andrea
2021
Periodic solutions of $$p$$-Laplacian equations via rotation numbers. Zbl 1471.34081
Wang, Shuang; Qian, Dingbian
2021
A note on the nonexistence of global solutions to the semilinear wave equation with nonlinearity of derivative-type in the generalized Einstein-de Sitter spacetime. Zbl 1479.35138
Hamouda, Makram; Hamza, Mohamed Ali; Palmieri, Alessandro
2021
Asymptotic expansion of the ground state energy for nonlinear Schrödinger system with three wave interaction. Zbl 1479.35799
2021
On the Calderon-Zygmund property of Riesz-transform type operators arising in nonlocal equations. Zbl 1477.45007
Yeepo, Sasikarn; Lewkeeratiyutkul, Wicharn; Khomrutai, Sujin; Schikorra, Armin
2021
Stability results of a singular local interaction elastic/viscoelastic coupled wave equations with time delay. Zbl 1476.93129
2021
On principal eigenvalues of biharmonic systems. Zbl 1460.35247
Kong, Lingju; Nichols, Roger
2021
Blow-up solutions and strong instability of ground states for the inhomogeneous nonlinear Schrödinger equation. Zbl 1460.35315
Ardila, Alex H.; Cardoso, Mykael
2021
Blow-up for the 1D nonlinear Schrödinger equation with point nonlinearity. II: Supercritical blow-up profiles. Zbl 1460.35328
Holmer, Justin; Liu, Chang
2021
On optimal autocorrelation inequalities on the real line. Zbl 1460.42002
Madrid, José; Ramos, João P. G.
2021
Weighted multipolar Hardy inequalities and evolution problems with Kolmogorov operators perturbed by singular potentials. Zbl 1470.35008
Canale, Anna; Pappalardo, Francesco; Tarantino, Ciro
2021
On the Cahn-Hilliard equation with mass source for biological applications. Zbl 1460.35351
Fakih, Hussein; Mghames, Ragheb; Nasreddine, Noura
2021
The anisotropic fractional isoperimetric problem with respect to unconditional unit balls. Zbl 1460.49035
Kreuml, Andreas
2021
Ground state and nodal solutions for fractional Schrödinger-Maxwell-Kirchhoff systems with pure critical growth nonlinearity. Zbl 1460.35142
Liu, Chungen; Zhang, Huabo
2021
Multiple positive solutions for coupled Schrödinger equations with perturbations. Zbl 1460.35129
Li, Haoyu; Wang, Zhi-Qiang
2021
Global existence and uniform estimates of solutions to reaction diffusion systems with mass transport type boundary conditions. Zbl 1472.35220
Sharma, Vandana
2021
Large-time behavior of solutions to unipolar Euler-Poisson equations with time-dependent damping. Zbl 1471.35242
Wu, Qiwei; Luan, Liping
2021
An overdetermined problem associated to the Finsler Laplacian. Zbl 1466.35270
Ciraolo, Giulio; Greco, Antonio
2021
Polynomial growth of high Sobolev norms of solutions to the Zakharov-Kuznetsov equation. Zbl 1467.35280
Côte, Raphaël; Valet, Frédéric
2021
Well-posedness and attractor for a strongly damped wave equation with supercritical nonlinearity on $$\mathbb{R}^N$$. Zbl 1466.35032
Ding, Pengyan; Yang, Zhijian
2021
Stability of rarefaction wave for the compressible non-isentropic Navier-Stokes-Maxwell equations. Zbl 1471.35225
Yao, Huancheng; Yin, Haiyan; Zhu, Changjiang
2021
On the uniqueness of solutions of a semilinear equation in an annulus. Zbl 1471.35141
Cortázar, Carmen; García-Huidobro, Marta; Herreros, Pilar; Tanaka, Satoshi
2021
Asymptotic behaviors of solutions to a sixth-order Boussinesq equation with logarithmic nonlinearity. Zbl 1466.35049
Zhang, Huan; Zhou, Jun
2021
Existence of multi-peak solutions to the Schnakenberg model with heterogeneity on metric graphs. Zbl 1466.35014
Ishii, Yuta; Kurata, Kazuhiro
2021
Extremal functions for a class of trace Trudinger-Moser inequalities on a compact Riemann surface with smooth boundary. Zbl 1478.46040
Zhang, Mengjie
2021
Homogenization of a modified bidomain model involving imperfect transmission. Zbl 1466.35015
Amar, Micol; Andreucci, Daniele; Timofte, Claudia
2021
A note on the energy transfer in coupled differential systems. Zbl 1471.34109
Conti, Monica; Liverani, Lorenzo; Pata, Vittorino
2021
Multiplicity of solutions for a class of fractional elliptic problems with critical exponential growth and nonlocal Neumann condition. Zbl 1466.35352
Alves, Claudianor O.; Ledesma, César T.
2021
Asymptotics for the concentrated field between closely located hard inclusions in all dimensions. Zbl 1478.78042
Zhao, Zhiwen; Hao, Xia
2021
Traveling waves for a two-group epidemic model with latent period and bilinear incidence in a patchy environment. Zbl 07436375
San, Xuefeng; He, Yuan
2021
Sharp gradient estimates on weighted manifolds with compact boundary. Zbl 1482.58012
Dung, Ha Tuan; Dung, Nguyen Thac; Wu, Jiayong
2021
Uniqueness and stability of time-periodic pyramidal fronts for a periodic competition-diffusion system. Zbl 1423.35160
Bao, Xiongxiong; Li, Wan-Tong; Wang, Zhi-Cheng
2020
Real-variable characterizations of new anisotropic mixed-norm Hardy spaces. Zbl 1437.42033
Huang, Long; Liu, Jun; Yang, Dachun; Yuan, Wen
2020
Global boundedness of solutions to a chemotaxis-fluid system with singular sensitivity and logistic source. Zbl 1442.35038
Ren, Guoqiang; Liu, Bin
2020
On large potential perturbations of the Schrödinger, wave and Klein-Gordon equations. Zbl 1428.35431
D&rsquo;Ancona, Piero
2020
On a delayed epidemic model with non-instantaneous impulses. Zbl 1447.34070
Bai, Liang; Nieto, Juan J.; Uzal, José M.
2020
Bifurcation and stability of a two-species diffusive Lotka-Volterra model. Zbl 1436.35230
Ma, Li; Guo, Shangjiang
2020
Controllability of the one-dimensional fractional heat equation under positivity constraints. Zbl 1446.93012
Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique
2020
The dynamics of nonlocal diffusion systems with different free boundaries. Zbl 1445.35211
Li, Lei; Wang, Jianping; Wang, Mingxin
2020
Averaging principle for stochastic real Ginzburg-Landau equation driven by $$\alpha$$-stable process. Zbl 1431.35259
Sun, Xiaobin; Zhai, Jianliang
2020
A stochastic threshold for an epidemic model with isolation and a non linear incidence. Zbl 1435.92068
Caraballo, Tomás; Fatini, Mohamed El; Sekkak, Idriss; Taki, Regragui; Laaribi, Aziz
2020
Elliptic approximation of forward-backward parabolic equations. Zbl 1439.35304
Paronetto, Fabio
2020
Liouville theorems for stable weak solutions of elliptic problems involving Grushin operator. Zbl 1427.35029
Le, Phuong
2020
Symmetry of singular solutions for a weighted Choquard equation involving the fractional $$p$$-Laplacian. Zbl 1423.35403
Le, Phuong
2020
Traveling waves in a nonlocal dispersal epidemic model with spatio-temporal delay. Zbl 1439.35251
Wei, Jingdong; Zhou, Jiangbo; Chen, Wenxia; Zhen, Zaili; Tian, Lixin
2020
Nonclassical diffusion with memory lacking instantaneous damping. Zbl 1446.35063
Conti, Monica; Dell&rsquo;Oro, Filippo; Pata, Vittorino
2020
Stability of multi-peak symmetric stationary solutions for the Schnakenberg model with periodic heterogeneity. Zbl 1446.35051
Ishii, Yuta
2020
Sharp Hardy-Leray inequality for three-dimensional solenoidal fields with axisymmetric swirl. Zbl 1437.35006
Hamamoto, Naoki; Takahashi, Futoshi
2020
The effect of nonlocal reaction in an epidemic model with nonlocal diffusion and free boundaries. Zbl 1460.35400
Zhao, Meng; Li, Wantong; Du, Yihong
2020
General condition for exponential stability of thermoelastic Bresse systems with Cattaneo’s law. Zbl 1439.35057
de Lima, Pedro Roberto; Fernández Sare, Hugo D.
2020
Approximation by multivariate max-product Kantorovich-type operators and learning rates of least-squares regularized regression. Zbl 1472.41011
Coroianu, Lucian; Costarelli, Danilo; Gal, Sorin G.; Vinti, Gianluca
2020
Liouville theorems for an integral equation of Choquard type. Zbl 1428.35665
Le, Phuong
2020
Pullback dynamics of a non-autonomous mixture problem in one dimensional solids with nonlinear damping. Zbl 1430.35152
Freitas, Mirelson M.; Costa, Alberto L. C.; Araújo, Geraldo M.
2020
Least energy solutions for coupled Hartree system with Hardy-Littlewood-Sobolev critical exponents. Zbl 1427.35066
Zheng, Yu; Santos, Carlos A.; Shen, Zifei; Yang, Minbo
2020
Analytic integrability around a nilpotent singularity: the non-generic case. Zbl 1483.34006
Algaba, Antonio; Díaz, María; García, Cristóbal; Giné, Jaume
2020
Global existence for a chemotaxis-haptotaxis model with $$p$$-Laplacian. Zbl 1433.92007
Liu, Changchun; Li, Pingping
2020
Travelling corners for spatially discrete reaction-diffusion systems. Zbl 1436.34009
Hupkes, H. J.; Morelli, L.
2020
Global higher integrability of weak solutions of porous medium systems. Zbl 1432.35128
Moring, Kristian; Scheven, Christoph; Schwarzacher, Sebastian; Singer, Thomas
2020
Bending-torsion moments in thin multi-structures in the context of nonlinear elasticity. Zbl 1431.74023
Ferreira, Rita; Zappale, Elvira
2020
Strong convergence of trajectory attractors for reaction-diffusion systems with random rapidly oscillating terms. Zbl 1435.35072
Bekmaganbetov, Kuanysh A.; Chechkin, Gregory A.; Chepyzhov, Vladimir V.
2020
Uniform a priori estimates for elliptic problems with impedance boundary conditions. Zbl 1436.35077
Chaumont-Frelet, Théophile; Nicaise, Serge; Tomezyk, Jérôme
2020
Global dynamics for a class of reaction-diffusion equations with distributed delay and Neumann condition. Zbl 1439.35512
Touaoula, Tarik Mohammed
2020
$$BV$$ functions on open domains: the Wiener case and a Fomin differentiable case. Zbl 1441.49036
Addona, Davide; Menegatti, Giorgio; Miranda, Michele jun.
2020
Nonexistence results on the space or the half space of $$-\Delta u+\lambda u = \vert u\vert ^{p-1}u$$ via the Morse index. Zbl 1437.35341
Selmi, Abdelbaki; Harrabi, Abdellaziz; Zaidi, Cherif
2020
The probabilistic Cauchy problem for the fourth order Schrödinger equation with special derivative nonlinearities. Zbl 07196904
Zhang, Shuai; Xu, Shaopeng
2020
A second order fractional differential equation under effects of a super damping. Zbl 1460.35370
Charão, Ruy Coimbra; Espinoza, Juan Torres; Ikehata, Ryo
2020
Improved Sobolev inequalities and critical problems. Zbl 1439.35011
Chen, Xiaoli; Yang, Jianfu
2020
Bound state positive solutions for a class of elliptic system with Hartree nonlinearity. Zbl 1440.35092
Che, Guofeng; Chen, Haibo; Wu, Tsung-fang
2020
Function approximation by deep networks. Zbl 1442.62215
2020
Geometry of self-similar measures on intervals with overlaps and applications to sub-Gaussian heat kernel estimates. Zbl 1429.28014
Gu, Qingsong; Hu, Jiaxin; Ngai, Sze-Man
2020
Entire subsolutions of Monge-Ampère type equations. Zbl 1427.35091
Dai, Limei; Li, Hongyu
2020
Dynamics of spatially heterogeneous viral model with time delay. Zbl 1430.35141
Yang, Hong; Wei, Junjie
2020
On the Schrödinger-Debye system in compact Riemannian manifolds. Zbl 1428.35533
Nogueira, Marcelo; Panthee, Mahendra
2020
Potential well and multiplicity of solutions for nonlinear Dirac equations. Zbl 1428.35420
Chen, Yu; Ding, Yanheng; Xu, Tian
2020
Stability of the spectral gap for the Boltzmann multi-species operator linearized around non-equilibrium Maxwell distributions. Zbl 1442.35277
Bondesan, Andrea; Boudin, Laurent; Briant, Marc; Grec, Bérénice
2020
Clustering phase transition layers with boundary intersection for an inhomogeneous Allen-Cahn equation. Zbl 1437.35342
Wei, Suting; Yang, Jun
2020
Local Lipschitz regularity for functions satisfying a time-dependent dynamic programming principle. Zbl 07182512
Han, Jeongmin
2020
Limiting dynamical behavior of random fractional Fitzhugh-Nagumo systems driven by a Wong-Zakai approximation process. Zbl 1439.35586
Li, Dingshi; Wang, Xiaohu; Zhao, Junyilang
2020
Elliptic and parabolic problems in thin domains with doubly weak oscillatory boundary. Zbl 1439.35036
Arrieta, José M.; Villanueva-Pesqueira, Manuel
2020
Advances in the truncated Euler-Maruyama method for stochastic differential delay equations. Zbl 1462.60073
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Xia, Dengfeng
2020
Theoretical and numerical results for some bi-objective optimal control problems. Zbl 1437.35534
Fernández-Cara, Enrique; Marín-Gayte, Irene
2020
Attractors for semilinear wave equations with localized damping and external forces. Zbl 1441.35062
Ma, To Fu; Seminario-Huertas, Paulo Nicanor
2020
Asymptotic behavior of a Cahn-Hilliard/Allen-Cahn system with temperature. Zbl 1437.35084
Miranville, Alain; Quintanilla, Ramon; Saoud, Wafa
2020
Sigmoidal approximations of a delay neural lattice model with heaviside functions. Zbl 1451.34101
Wang, Xiaoli; Yang, Meihua; Kloeden, Peter E.
2020
Asymptotic profiles of steady states for a diffusive SIS epidemic model with spontaneous infection and a logistic source. Zbl 1446.35058
Zhu, Siyao; Wang, Jinliang
2020
Monotonicity with respect to $$p$$ of the first nontrivial eigenvalue of the $$p$$-Laplacian with homogeneous Neumann boundary conditions. Zbl 1465.35327
Mihăilescu, Mihai; Rossi, Julio D.
2020
Optimal decay to the non-isentropic compressible micropolar fluids. Zbl 1460.35292
liu, Lvqiao; Zhang, Lan
2020
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### Cited by 9,075 Authors

 117 Papageorgiou, Nikolaos S. 62 Rădulescu, Vicenţiu D. 54 Miranville, Alain M. 44 Llibre, Jaume 40 Li, Wan-Tong 35 Figueiredo, Giovany Malcher 34 Tang, Xianhua 33 Alves, Claudianor Oliveira 33 Colli, Pierluigi 31 Repovš, Dušan D. 31 Rossi, Julio Daniel 29 Liu, Chein-Shan 29 Zelik, Sergey V. 28 Zhu, Changjiang 27 Grasselli, Maurizio 27 Miyagaki, Olimpio Hiroshi 27 Pata, Vittorino 25 Ambrosio, Vincenzo 25 Gasiński, Leszek 25 Mu, Chunlai 25 Tret’yakov, Alexey A. 25 Yang, Dachun 24 Chen, Pengyu 23 Caraballo Garrido, Tomás 23 Li, Yangrong 23 Nicola, Fabio 23 Vetro, Calogero 22 Molica Bisci, Giovanni 22 Pucci, Patrizia 22 Quintanilla de Latorre, Ramón 22 Winkert, Patrick 22 Zhou, Shengfan 21 Chen, Caisheng 21 Gilardi, Gianni 21 Sreenadh, Konijeti 21 Tang, Zhongwei 21 Yang, Minbo 21 Zou, Wenming 20 Conti, Monica C. 20 Li, Yongxiang 20 Messaoudi, Salim A. 20 Tachim Medjo, Theodore 19 Cordero, Elena 19 Gal, Ciprian Gheorghe Sorin 19 Kloeden, Peter Eris 19 Qin, Yuming 19 Sommen, Franciscus 19 Vetro, Francesca 19 Wang, Weike 19 Zhang, Xuping 18 Chen, Wenxiong 18 De Schepper, Hennie 18 Gala, Sadek 18 Han, Maoan 18 Ishige, Kazuhiro 18 Li, Congming 18 Liao, Jiafeng 18 Liu, Bingchen 18 López-Gómez, Julián 18 Peral Alonso, Ireneo 18 Qi, Feng 18 Sofonea, Mircea 18 Valdinoci, Enrico 18 Wu, Hao 18 Yang, Sibei 18 Zhang, Binlin 18 Zhang, Zujin 18 Zhao, Caidi 17 Dinh, Van Duong 17 García-Melián, Jorge 17 Li, Fengjie 17 Shi, Junping 17 Strichartz, Robert S. 17 Tian, Lixin 17 Wei, Juncheng 17 Yang, Zhijian 17 Yao, Zhengan 17 Zhang, Jihui 17 Zhao, Xiaopeng 16 Brackx, Fred F. 16 Lei, Yutian 16 Quaas, Alexander 16 Rocca, Elisabetta 16 Saanouni, Tarek 16 Sprekels, Jürgen 16 Vougalter, Vitali 16 Wang, Zhi-Qiang 16 Zhang, Fubao 16 Zhou, Jun 16 Zhou, Zhan 15 Abdellaoui, Boumediene 15 Fan, Jishan 15 Fiscella, Alessio 15 Kawakami, Tatsuki 15 Ruan, Shigui 15 Sasu, Bogdan 15 Severo, Uberlandio Batista 15 Sun, Chunyou 15 Temam, Roger Meyer 15 Tian, Shoufu ...and 8,975 more Authors
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### Cited in 558 Journals

 596 Journal of Differential Equations 591 Journal of Mathematical Analysis and Applications 475 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 363 Communications on Pure and Applied Analysis 262 Discrete and Continuous Dynamical Systems 202 Journal of Mathematical Physics 174 Nonlinear Analysis. Real World Applications 170 Discrete and Continuous Dynamical Systems. Series B 167 ZAMP. Zeitschrift für angewandte Mathematik und Physik 161 Calculus of Variations and Partial Differential Equations 150 Applicable Analysis 143 Boundary Value Problems 124 Applied Mathematics Letters 121 Applied Mathematics and Computation 107 Computers & Mathematics with Applications 96 Mathematical Methods in the Applied Sciences 94 NoDEA. Nonlinear Differential Equations and Applications 90 SIAM Journal on Mathematical Analysis 89 Journal of Functional Analysis 86 Journal of Evolution Equations 83 Archive for Rational Mechanics and Analysis 79 Discrete and Continuous Dynamical Systems. Series S 76 Acta Applicandae Mathematicae 75 Complex Variables and Elliptic Equations 71 Abstract and Applied Analysis 71 Mediterranean Journal of Mathematics 67 Journal de Mathématiques Pures et Appliquées. Neuvième Série 66 Proceedings of the American Mathematical Society 65 Applied Mathematics and Optimization 62 Journal of Computational and Applied Mathematics 61 Communications in Contemporary Mathematics 61 Advances in Nonlinear Analysis 59 Journal of Dynamics and Differential Equations 59 Journal of Mathematical Fluid Mechanics 59 Advanced Nonlinear Studies 58 Annali di Matematica Pura ed Applicata. Serie Quarta 56 Nonlinearity 55 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 54 Communications in Mathematical Physics 53 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 53 Advances in Difference Equations 51 Communications in Partial Differential Equations 50 Transactions of the American Mathematical Society 50 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 50 Science China. Mathematics 49 Evolution Equations and Control Theory 48 Topological Methods in Nonlinear Analysis 46 The Journal of Geometric Analysis 46 Electronic Journal of Differential Equations (EJDE) 44 Advances in Mathematics 44 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 42 Asymptotic Analysis 41 Journal of Inequalities and Applications 39 Comptes Rendus. Mathématique. Académie des Sciences, Paris 38 Journal of Computational Physics 38 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 35 Mathematische Nachrichten 34 Physica D 33 Chinese Annals of Mathematics. Series B 33 Discrete Dynamics in Nature and Society 32 Journal of Scientific Computing 32 Communications in Nonlinear Science and Numerical Simulation 32 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 32 Journal of Applied Analysis and Computation 32 AIMS Mathematics 32 Electronic Research Archive 31 Journal of Nonlinear Science 30 Applied Numerical Mathematics 30 Journal of Difference Equations and Applications 30 Qualitative Theory of Dynamical Systems 30 Journal of Fixed Point Theory and Applications 29 Chaos, Solitons and Fractals 29 Open Mathematics 27 Monatshefte für Mathematik 27 Taiwanese Journal of Mathematics 27 Acta Mathematica Sinica. English Series 27 Journal of Elliptic and Parabolic Equations 26 SIAM Journal on Control and Optimization 26 Mathematical Biosciences and Engineering 25 Mathematische Annalen 25 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 25 Journal of Function Spaces 24 Rocky Mountain Journal of Mathematics 24 Potential Analysis 24 Journal of Mathematical Sciences (New York) 23 Numerical Functional Analysis and Optimization 23 Numerische Mathematik 23 Quarterly of Applied Mathematics 22 Computer Methods in Applied Mechanics and Engineering 22 Results in Mathematics 22 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 21 Archiv der Mathematik 21 The Journal of Fourier Analysis and Applications 21 Kinetic and Related Models 20 Journal of Statistical Physics 20 Manuscripta Mathematica 20 Acta Mathematicae Applicatae Sinica. English Series 20 Advances in Computational Mathematics 20 International Journal of Biomathematics 20 Advances in Mathematical Physics ...and 458 more Journals
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### Cited in 59 Fields

 7,304 Partial differential equations (35-XX) 1,193 Fluid mechanics (76-XX) 905 Ordinary differential equations (34-XX) 787 Biology and other natural sciences (92-XX) 752 Dynamical systems and ergodic theory (37-XX) 747 Operator theory (47-XX) 713 Numerical analysis (65-XX) 512 Mechanics of deformable solids (74-XX) 497 Calculus of variations and optimal control; optimization (49-XX) 373 Integral equations (45-XX) 353 Systems theory; control (93-XX) 336 Global analysis, analysis on manifolds (58-XX) 307 Probability theory and stochastic processes (60-XX) 292 Functional analysis (46-XX) 248 Real functions (26-XX) 241 Harmonic analysis on Euclidean spaces (42-XX) 196 Statistical mechanics, structure of matter (82-XX) 166 Classical thermodynamics, heat transfer (80-XX) 157 Differential geometry (53-XX) 153 Quantum theory (81-XX) 104 Difference and functional equations (39-XX) 101 Measure and integration (28-XX) 100 Optics, electromagnetic theory (78-XX) 85 Potential theory (31-XX) 84 Mechanics of particles and systems (70-XX) 83 Functions of a complex variable (30-XX) 68 Operations research, mathematical programming (90-XX) 65 Special functions (33-XX) 55 Geophysics (86-XX) 51 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 39 Computer science (68-XX) 38 Approximations and expansions (41-XX) 31 Relativity and gravitational theory (83-XX) 30 Linear and multilinear algebra; matrix theory (15-XX) 27 Abstract harmonic analysis (43-XX) 27 Integral transforms, operational calculus (44-XX) 26 Several complex variables and analytic spaces (32-XX) 25 Information and communication theory, circuits (94-XX) 20 Statistics (62-XX) 18 Combinatorics (05-XX) 17 Topological groups, Lie groups (22-XX) 16 Astronomy and astrophysics (85-XX) 14 Number theory (11-XX) 13 Manifolds and cell complexes (57-XX) 12 General topology (54-XX) 9 Convex and discrete geometry (52-XX) 8 Algebraic geometry (14-XX) 7 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 5 Sequences, series, summability (40-XX) 4 Nonassociative rings and algebras (17-XX) 4 Group theory and generalizations (20-XX) 4 Geometry (51-XX) 3 Mathematical logic and foundations (03-XX) 3 Algebraic topology (55-XX) 2 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 $$K$$-theory (19-XX)