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Analysis and Applications (Singapore)

Short Title: Anal. Appl., Singap.
Publisher: World Scientific, Singapore
ISSN: 0219-5305; 1793-6861/e
Online: https://www.worldscientific.com/loi/aa
Comments: Indexed cover-to-cover
Documents Indexed: 563 Publications (since 2003)
References Indexed: 560 Publications with 14,847 References.
all top 5

Latest Issues

21, No. 3 (2023)
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1, No. 4 (2003)
...and 1 more Volumes
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Authors

13 Wong, Roderick Sue-Chuen
11 Zhou, Dingxuan
9 Ciarlet, Philippe Gaston
9 Ismail, Mourad El-Houssieny
9 Mardare, Cristinel
8 Yang, Dachun
7 De Vito, Ernesto
7 Rădulescu, Vicenţiu D.
7 Yang, Tong
6 Bressan, Alberto
6 Dunster, T. M.
6 Greiner, Peter C.
6 Hu, Ting
6 Schwab, Christoph
6 Temam, Roger Meyer
6 Wu, Qiang
5 Ha, Seung-Yeal
5 Zhao, Yuqiu
4 Alzer, Horst
4 Fan, Jun
4 Griso, Georges
4 Guo, Boling
4 Haraux, Alain
4 Li, Song
4 Li, Yutian
4 Lin, Yu
4 Morimoto, Yoshinori
4 Rosasco, Lorenzo A.
4 Smale, Steve
4 Toft, Joachim
4 Trimèche, Khalifa
4 Volkmer, Hans
4 Yuan, Wen
3 Alpay, Daniel Aron
3 Blanchard, Dominique
3 Caponnetto, Andrea
3 Chipot, Michel
3 Chui, Charles Kam-tai
3 Dinca, George
3 Kawashima, Shuichi
3 Liu, Yuji
3 Matei, Pavel
3 Molica Bisci, Giovanni
3 Petersen, Philipp Christian
3 Plonka, Gerlind
3 Poggio, Tomaso A.
3 Rodrigo, Marianito R.
3 Sabadini, Irene
3 Seifert, George
3 Tan, Zhong
3 Trabelsi, Karim
3 Ukai, Seiji
3 Vallee, Claude
3 Xiang, Dao-Hong
3 Yang, Dongyong
3 Ying, Yiming
3 Zhang, Haizhang
3 Zhong, Xin
2 Abdeljawad, Ahmed
2 Alexandre, Radjesvarane
2 Alves, Claudianor Oliveira
2 Amrouche, Chérif
2 Belleni-Morante, Aldo
2 Bi, Ning
2 Blanchard, Gilles
2 Bouhamidi, Abderrahman
2 Carmeli, Claudio
2 Chang, Chin-Huei
2 Chang, Der-Chen E.
2 Christmann, Andreas
2 Ciarlet, Patrick jun.
2 Cohen, Albert
2 Colombo, Fabrizio
2 Cordero, Elena
2 Coroianu, Lucian C.
2 Daalhuis, A. B. Olde
2 Dahlke, Stephan
2 Dai, Hui-Hui
2 De Mari, Filippo
2 Diki, Kamal
2 Ding, Hongming
2 Duan, Jinqiao
2 Dunkl, Charles F.
2 Ezquerro, José Antonio
2 Fan, Jishan
2 Fan, Lili
2 Farashahi, Arash Ghaani
2 Gal, Sorin Gheorghe
2 Ge, Weigao
2 Geng, Xianguo
2 Gil, Amparo
2 Gil’, Michael Iosif
2 Grau-Sánchez, Miquel
2 Guibé, Olivier
2 Guidugli, Paolo Podio
2 Guo, Xin
2 Hajaiej, Hichem
2 Hoang, Viet Ha
2 Iosifescu, Oana
2 Jia, Rong-Qing
...and 819 more Authors
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Fields

212 Partial differential equations (35-XX)
74 Approximations and expansions (41-XX)
70 Harmonic analysis on Euclidean spaces (42-XX)
70 Computer science (68-XX)
68 Special functions (33-XX)
64 Ordinary differential equations (34-XX)
62 Fluid mechanics (76-XX)
58 Functional analysis (46-XX)
53 Operator theory (47-XX)
53 Numerical analysis (65-XX)
46 Mechanics of deformable solids (74-XX)
40 Statistics (62-XX)
29 Calculus of variations and optimal control; optimization (49-XX)
24 Probability theory and stochastic processes (60-XX)
22 Functions of a complex variable (30-XX)
22 Operations research, mathematical programming (90-XX)
22 Information and communication theory, circuits (94-XX)
21 Biology and other natural sciences (92-XX)
20 Real functions (26-XX)
18 Global analysis, analysis on manifolds (58-XX)
15 Differential geometry (53-XX)
15 Statistical mechanics, structure of matter (82-XX)
14 Dynamical systems and ergodic theory (37-XX)
14 Difference and functional equations (39-XX)
12 Integral transforms, operational calculus (44-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
11 Abstract harmonic analysis (43-XX)
11 Integral equations (45-XX)
11 Quantum theory (81-XX)
10 Number theory (11-XX)
7 Topological groups, Lie groups (22-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Potential theory (31-XX)
6 Mechanics of particles and systems (70-XX)
5 Optics, electromagnetic theory (78-XX)
5 Geophysics (86-XX)
4 History and biography (01-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Classical thermodynamics, heat transfer (80-XX)
4 Systems theory; control (93-XX)
3 Combinatorics (05-XX)
3 Measure and integration (28-XX)
3 Relativity and gravitational theory (83-XX)
3 Astronomy and astrophysics (85-XX)
2 General and overarching topics; collections (00-XX)
2 Algebraic geometry (14-XX)
2 Algebraic topology (55-XX)
2 Manifolds and cell complexes (57-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Convex and discrete geometry (52-XX)

Publications by Year

Citations contained in zbMATH Open

419 Publications have been cited 3,914 times in 3,385 Documents Cited by Year
Global dissipative solutions of the Camassa-Holm equation. Zbl 1139.35378
Bressan, Alberto; Constantin, Adrian
316
2007
Analytic regularity and polynomial approximation of parametric and stochastic elliptic PDE’s. Zbl 1219.35379
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
153
2011
Estimating the approximation error in learning theory. Zbl 1079.68089
Smale, Steve; Zhou, Ding-Xuan
99
2003
Online learning with Markov sampling. Zbl 1170.68022
Smale, Steve; Zhou, Ding-Xuan
73
2009
The Boltzmann equation in the space \(L^2\cap L^\infty_\beta\): global and time-periodic solutions. Zbl 1096.35012
Ukai, Seiji; Yang, Tong
66
2006
Interior error estimate for periodic homogenization. Zbl 1098.35016
Griso, Georges
53
2006
Stationary waves of Schrödinger-type equations with variable exponent. Zbl 1331.35139
Repovš, Dušan
51
2015
Deep vs. shallow networks: an approximation theory perspective. Zbl 1355.68233
Mhaskar, H. N.; Poggio, T.
47
2016
A bifurcation result for non-local fractional equations. Zbl 1328.35280
Molica Bisci, Giovanni; Servadei, Raffaella
44
2015
The Boltzmann equation without angular cutoff in the whole space. II: Global existence for hard potential. Zbl 1220.35110
Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T.
43
2011
Deep distributed convolutional neural networks: universality. Zbl 1442.68214
Zhou, Ding-Xuan
41
2018
Green’s function and large time behavior of the Navier-Stokes-Maxwell system. Zbl 1241.35145
Duan, Renjun
40
2012
The radius of convexity of normalized Bessel functions of the first kind. Zbl 1302.33003
Baricz, Árpád; Szász, Róbert
38
2014
Cross-validation based adaptation for regularization operators in learning theory. Zbl 1209.68405
Caponnetto, Andrea; Yao, Yuan
37
2010
Deep learning in high dimension: neural network expression rates for generalized polynomial chaos expansions in UQ. Zbl 1478.68309
Schwab, Christoph; Zech, Jakob
37
2019
Homogenization of two heat conductors with an interfacial contact resistance. Zbl 1083.35014
Donato, Patrizia; Monsurrò, Sara
36
2004
On the blow-up of solutions to the integrable modified Camassa-Holm equation. Zbl 1302.35074
Liu, Yue; Olver, Peter J.; Qu, Changzheng; Zhang, Shuanghu
36
2014
Regularization schemes for minimum error entropy principle. Zbl 1329.68216
Hu, Ting; Fan, Jun; Wu, Qiang; Zhou, Ding-Xuan
36
2015
Optimizing the rate of convergence in some new classes of sequences convergent to Euler’s constant. Zbl 1185.26047
Mortici, Cristinel
35
2010
Vector valued reproducing kernel Hilbert spaces of integrable functions and Mercer theorem. Zbl 1116.46019
Carmeli, Claudio; De Vito, Ernesto; Toigo, Alessandro
35
2006
Transmutation operators and Paley-Wiener theorem associated with a singular differential-difference operator on the real line. Zbl 1140.42302
Mourou, Mohamed A.; Trimèche, Khalifa
33
2003
Gauge theory and wild ramification. Zbl 1177.81101
Witten, Edward
33
2008
Positivity of the intertwining operator and harmonic analysis associated with the Jacobi-Dunkl operator on \(\mathbb R\). Zbl 1056.43003
Chouchane, F.; Mili, M.; Trimèche, K.
32
2003
Global solutions to the Boltzmann equation with external forces. Zbl 1152.76464
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
28
2005
Deep ReLU networks and high-order finite element methods. Zbl 1452.65354
Opschoor, Joost A. A.; Petersen, Philipp C.; Schwab, Christoph
28
2020
A high accuracy Leray-deconvolution model of turbulence and its limiting behavior. Zbl 1210.76084
Layton, William; Lewandowski, Roger
27
2008
Uniform asymptotic expansions for hypergeometric functions with large parameters. III. Zbl 1190.33002
Olde Daalhuis, A. B.
26
2010
Resonant \((p,2)\)-equations with asymmetric reaction. Zbl 1327.35125
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.
25
2015
Highly oscillating boundaries and reduction of dimension: the critical case. Zbl 1121.35012
Blanchard, Dominique; Gaudiello, Antonio; Mossino, Jacqueline
25
2007
Complex interpolation on Besov-type and Triebel-Lizorkin-type spaces. Zbl 1294.46020
Yang, Dachun; Yuan, Wen; Zhuo, Ciqiang
24
2013
Thresholded spectral algorithms for sparse approximations. Zbl 1409.68232
Guo, Zheng-Chu; Xiang, Dao-Hong; Guo, Xin; Zhou, Ding-Xuan
24
2017
Asymptotic behavior of structures made of curved rods. Zbl 1210.74121
Griso, Georges
24
2008
Real-variable characterizations of Orlicz-slice Hardy spaces. Zbl 1423.42042
Zhang, Yangyang; Yang, Dachun; Yuan, Wen; Wang, Songbai
23
2019
Weyl transforms associated with the spherical mean operator. Zbl 1045.47038
Rachdi, L. T.; Triméche, K.
23
2003
Error bounds for approximations with deep ReLU neural networks in \(W^{s , p}\) norms. Zbl 1452.41009
Gühring, Ingo; Kutyniok, Gitta; Petersen, Philipp
23
2020
Vector valued reproducing kernel Hilbert spaces and universality. Zbl 1195.46025
Carmeli, C.; de Vito, E.; Toigo, A.; Umanità, V.
23
2010
Asymptotic behavior of structures made of plates. Zbl 1111.74029
Griso, Georges
22
2005
Applications of the Łojasiewicz-Simon, gradient inequality to gradient-like evolution equations. Zbl 1192.34068
Chill, Ralph; Haraux, Alain; Jendoubi, Mohamed Ali
22
2009
Infinitely many solutions for the Dirichlet problem on the Sierpinski gasket. Zbl 1229.35049
Breckner, Brigitte E.; Rădulescu, Vicenţiu D.; Varga, Csaba
21
2011
Emergence of bi-cluster flocking for agent-based models with unit speed constraint. Zbl 1346.34031
Cho, Junghee; Ha, Seung-Yeal; Huang, Feimin; Jin, Chunyin; Ko, Dongnam
20
2016
Spectral properties of operators using tridiagonalization. Zbl 1248.33019
Ismail, Mourad E. H.; Koelink, Erik
20
2012
Real-variable characterizations of Hardy spaces associated with Bessel operators. Zbl 1227.42021
Yang, Dachun; Yang, Dongyong
20
2011
A justification of the Reissner-Mindlin plate theory through variational convergence. Zbl 1109.74031
Paroni, Roberto; Podio-Guidugli, Paolo; Tomassetti, Giuseppe
20
2007
Non-monotonic traveling waves in van der Waals fluids. Zbl 1083.35060
Bedjaoui, N.; Chalons, C.; Coquel, F.; LeFloch, P. G.
19
2005
Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed BVPs in exterior domains. Zbl 1273.45007
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
19
2013
Global existence and asymptotic behavior of solutions to the generalized cubic double dispersion equation. Zbl 1311.35141
Kawashima, Shuichi; Wang, Yu-Zhu
19
2015
Multivariate sampling-type approximation. Zbl 1366.41020
Krivoshein, A.; Skopina, M.
19
2017
Existence result for nonlinear parabolic equations with lower order terms. Zbl 1225.35134
Di Nardo, Rosaria; Feo, Filomena; Guibé, Olivier
19
2011
Existence of boundary layer solutions to the Boltzmann equation. Zbl 1172.35358
Chen, Chiun-Chuan; Liu, Tai-Ping; Yang, Tong
19
2004
Global multidimensional shock wave for the steady supersonic flow past a three-dimensional curved cone. Zbl 1094.35080
Xin, Zhouping; Yin, Huicheng
19
2006
Analytic regularity and polynomial approximation of stochastic, parametric elliptic multiscale PDEs. Zbl 1259.49059
Hoang, V. H.; Schwab, CH.
18
2013
Continuity and compactness for pseudo-differential operators with symbols in quasi-Banach spaces or Hörmander classes. Zbl 1459.47019
Toft, Joachim
18
2017
Temporally global solution to the equations for a spherically symmetric viscous radiative and reactive gas over the rigid core. Zbl 1151.35107
Umehara, Morimichi; Tani, Atusi
18
2008
Biological transportation networks: modeling and simulation. Zbl 1329.35313
Albi, Giacomo; Artina, Marco; Foransier, Massimo; Markowich, Peter A.
17
2016
Flocking and non-flocking behavior in a stochastic Cucker-Smale system. Zbl 1291.60124
Ton, Ta Viet; Linh, Nguyen Thi Hoai; Yagi, Atsushi
16
2014
Stochastic solutions of the two-dimensional primitive equations of the ocean and atmosphere with an additive noise. Zbl 1126.35040
Ewald, B.; Petcu, M.; Temam, R.
16
2007
On isometric immersions of a Riemannian space with little regularity. Zbl 1087.53031
Mardare, Sorin
15
2004
Inequalities involving gamma and psi functions. Zbl 1042.33002
Clark, W. Edwin; Ismail, Mourad E. H.
15
2003
Blow-up solutions of the two-dimensional heat equation due to a localized moving source. Zbl 1086.35006
Kirk, C. M.; Olmstead, W. E.
15
2005
Recovery of a surface with boundary and its continuity as a function of its two fundamental forms. Zbl 1083.53007
Ciarlet, Philippe G.; Mardare, Christinel
15
2005
Non-uniform bound and finite time blow up for solutions to a drift-diffusion equation in higher dimensions. Zbl 1331.35157
Ogawa, Takayoshi; Wakui, Hiroshi
15
2016
Rectified deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-sum games of nonlinear stiff systems. Zbl 1456.82804
Reisinger, Christoph; Zhang, Yufei
15
2020
Global classical solutions to the 3D Navier-Stokes-Korteweg equations with small initial energy. Zbl 1375.76043
Hou, Xiaofeng; Peng, Hongyun; Zhu, Changjiang
15
2018
Convergence rates of kernel conjugate gradient for random design regression. Zbl 1349.62125
Blanchard, Gilles; Krämer, Nicole
15
2016
Perturbation of the generator of a quaternionic evolution operator. Zbl 1327.47035
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene
15
2015
Learning rates for regularized least squares ranking algorithm. Zbl 1420.68182
Zhao, Yulong; Fan, Jun; Shi, Lei
15
2017
On the equivalence of two fundamental theta identities. Zbl 1379.11049
Koornwinder, Tom H.
14
2014
An analogue of Cowling-Price’s theorem and Hardy’s theorem for the generalized Fourier transform associated with the spherical mean operator. Zbl 1129.42004
Chettaoui, C.; Othmani, Y.; Trimèche, K.
14
2004
Generalized sampling: from shift-invariant to U-invariant spaces. Zbl 1311.42078
Fernández-Morales, H. R.; García, A. G.; Hernández-Medina, M. A.; Muñoz-Bouzo, M. J.
14
2015
Online regression with varying Gaussians and non-identical distributions. Zbl 1253.68189
Hu, Ting
14
2011
Modeling of a membrane for nonlinearly elastic incompressible materials via gamma-convergence. Zbl 1086.74025
Trabelsi, Karim
14
2006
Discretization error analysis for Tikhonov regularization. Zbl 1088.65056
De Vito, Ernesto; Rosasco, Lorenzo; Caponnetto, Andrea
14
2006
Continuity of Calderón-Zygmund operators on Besov or Triebel-Lizorkin spaces. Zbl 1268.42026
Meyer, Y.; Yang, Q. X.
14
2008
Random sampling and reconstruction in multiply generated shift-invariant spaces. Zbl 1417.42045
Yang, Jianbin
13
2019
Inverse scattering for a random potential. Zbl 1430.81081
Caro, Pedro; Helin, Tapio; Lassas, Matti
13
2019
Classes of functions with improved estimates in approximation by the max-product Bernstein operator. Zbl 1226.41007
Coroianu, Lucian; Gal, Sorin G.
13
2011
Weighted maximal estimates along curve associated with dispersive equations. Zbl 1362.42027
Ding, Yong; Niu, Yaoming
13
2017
Functions of the infinitesimal generator of a strongly continuous quaternionic group. Zbl 1370.47015
Alpay, Daniel; Colombo, Fabrizio; Gantner, Jonathan; Kimsey, David P.
13
2017
Asymptotics of orthogonal polynomials via recurrence relations. Zbl 1242.41035
Wang, X.-S.; Wong, R.
13
2012
Blocking strategies for a fire control problem. Zbl 1160.49043
Bressan, Alberto; Burago, Maria; Friend, Arthur; Jou, Jessica
13
2008
Solution to system of partial fractional differential equations using the \(\mathcal L_2\)-transform. Zbl 1208.26013
Aghili, A.; Ansari, A.
13
2011
Uniform asymptotic expansions for hypergeometric functions with large parameters. II. Zbl 1048.33005
Olde Daalhuis, A. B.
12
2003
Indefinite kernel network with dependent sampling. Zbl 1281.68194
Sun, Hongwei; Wu, Qiang
12
2013
Singular perturbation analysis on a homogeneous ocean circulation model. Zbl 1229.76091
Jung, Chang-Yeol; Petcu, Madalina; Temam, Roger
12
2011
Trigonometric approximation by matrix transforms in \(L^{p(x)}\) spaces. Zbl 1242.41015
Guven, Ali
12
2012
\(L^{\infty }\)-estimates for divergence operators on bad domains. Zbl 1242.35069
ter Elst, A. F. M.; Rehberg, Joachim
12
2012
The Riemann-Hilbert approach to global asymptotics of discrete orthogonal polynomials with infinite nodes. Zbl 1200.42014
Ou, Chunhua; Wong, R.
12
2010
Decomposition of deformations of thin rods. Application to nonlinear elasticity. Zbl 1165.74027
Blanchard, Dominique; Griso, Georges
12
2009
Error bounds for learning the kernel. Zbl 1392.68357
Micchelli, Charles A.; Pontil, Massimiliano; Wu, Qiang; Zhou, Ding-Xuan
12
2016
Learning rates for the risk of kernel-based quantile regression estimators in additive models. Zbl 1338.62077
Christmann, Andreas; Zhou, Ding-Xuan
12
2016
Real-time dynamics acquisition from irregular samples - with application to anesthesia evaluation. Zbl 1382.94028
Chui, Charles K.; Lin, Yu-Ting; Wu, Hau-Tieng
12
2016
Existence of ground states for aggregation-diffusion equations. Zbl 1433.35417
Carrillo, J. A.; Delgadino, M. G.; Patacchini, F. S.
11
2019
Uniform asymptotic expansions for hypergeometric functions with large parameters. IV. Zbl 1300.33007
Khwaja, S. Farid; Daalhuis, A. B. Olde
11
2014
Transmutation operators and Paley-Wiener theorem associated with a Cherednik type operator on the real line. Zbl 1200.42003
Mourou, Mohamed Ali
11
2010
Weak vector and scalar potentials: applications to Poincaré’s theorem and Korn’s inequality in Sobolev spaces with negative exponents. Zbl 1190.49004
Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun.
11
2010
Regularized learning schemes in feature Banach spaces. Zbl 1378.62015
Combettes, Patrick L.; Salzo, Saverio; Villa, Silvia
11
2018
Towards spaces of harmonic functions with traces in square Campanato spaces and their scaling invariants. Zbl 1366.46022
Jiang, Renjin; Xiao, Jie; Yang, Dachun
11
2016
Spectrum analysis of the linear Fokker-Planck equation. Zbl 1368.35265
Luo, Lan; Yu, Hongjun
11
2017
Decay property of the Timoshenko-Cattaneo system. Zbl 1338.35052
Mori, Naofumi; Kawashima, Shuichi
11
2016
From Boltzmann to incompressible Navier-Stokes in Sobolev spaces with polynomial weight. Zbl 1405.35134
Briant, Marc; Merino-Aceituno, Sara; Mouhot, Clément
11
2019
Summability of Fourier transforms on mixed-norm Lebesgue spaces via associated Herz spaces. Zbl 07652568
Huang, Long; Weisz, Ferenc; Yang, Dachun; Yuan, Wen
1
2023
Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials. Zbl 1507.42015
Almeida, Víctor; Betancor, Jorge J.; Rodríguez-Mesa, Lourdes
1
2023
Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal. Zbl 1484.92013
Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin
4
2022
A new elliptic mixed boundary value problem with \((p,q)\)-Laplacian and Clarke subdifferential: existence, comparison and convergence results. Zbl 1492.35135
Zeng, Shengda; Migórski, Stanisław; Tarzia, Domingo A.
2
2022
Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization. Zbl 1498.46043
Du, Qiang; Mengesha, Tadele; Tian, Xiaochuan
2
2022
Operator-valued positive definite kernels and differentiable universality. Zbl 1491.42006
Guella, J. C.
1
2022
Sparse representation of approximation to identity. Zbl 07544535
Qu, Wei; Chui, Charles K.; Deng, Guan-Tie; Qian, Tao
1
2022
Translation and modulation invariant Banach spaces of tempered distributions satisfy the metric approximation property. Zbl 1507.43001
Feichtinger, Hans G.
1
2022
On the global \(L^{\infty}\to\mathrm{BMO}\) mapping property for Fourier integral operators. Zbl 1487.42042
Wang, Guangqing; Chen, Wenyi; Yang, Jie
1
2022
Boundedness and compactness of commutators associated with Lipschitz functions. Zbl 1485.42025
Guo, Weichao; He, Jianxun; Wu, Huoxiong; Yang, Dongyong
1
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Exact reconstruction of extended exponential sums using rational approximation of their Fourier coefficients. Zbl 1503.41008
Derevianko, Nadiia; Plonka, Gerlind
1
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A machine learning approach to optimal Tikhonov regularization. I: Affine manifolds. Zbl 1493.62438
De Vito, Ernesto; Fornasier, Massimo; Naumova, Valeriya
1
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Approximation by max-product sampling Kantorovich operators with generalized kernels. Zbl 1464.41004
Coroianu, Lucian; Costarelli, Danilo; Gal, Sorin G.; Vinti, Gianluca
8
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Optimal learning with Gaussians and correntropy loss. Zbl 1462.68159
Lv, Fusheng; Fan, Jun
7
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Well-posedness and asymptotic behavior of an aggregation model with intrinsic interactions on sphere and other manifolds. Zbl 1479.35006
Fetecau, Razvan C.; Park, Hansol; Patacchini, Francesco S.
5
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Reproducing kernel Hilbert spaces on manifolds: Sobolev and diffusion spaces. Zbl 1478.46021
De Vito, Ernesto; Mücke, Nicole; Rosasco, Lorenzo
5
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A regularized convolutional neural network for semantic image segmentation. Zbl 1462.68211
Jia, Fan; Liu, Jun; Tai, Xue-Cheng
4
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On Cucker-Smale dynamical systems with degenerate communication. Zbl 1471.92398
Dietert, Helge; Shvydkoy, Roman
4
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On the global operator and Fueter mapping theorem for slice polyanalytic functions. Zbl 1482.30116
Alpay, Daniel; Diki, Kamal; Sabadini, Irene
3
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Analysis of adaptive short-time Fourier transform-based synchrosqueezing transform. Zbl 1472.42043
Cai, Haiyan; Jiang, Qingtang; Li, Lin; Suter, Bruce W.
3
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Local strong solutions to the Cauchy problem of two-dimensional nonhomogeneous magneto-micropolar fluid equations with nonnegative density. Zbl 1460.35302
Zhong, Xin
3
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Asymptotics of solutions to a fifth-order modified Korteweg-de Vries equation in the quarter plane. Zbl 1479.35744
Liu, Nan; Guo, Boling
3
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A simultaneous decomposition for three quaternion tensors with applications in color video signal processing. Zbl 1467.15019
He, Zhuo-Heng; Chen, Chen; Wang, Xiang-Xiang
3
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High-order low-bit Sigma-Delta quantization for fusion frames. Zbl 07327475
Gao, Zhen; Krahmer, Felix; Powell, Alexander M.
2
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An existence result for a class of electrothermal drift-diffusion models with Gauss-Fermi statistics for organic semiconductors. Zbl 1460.35127
Glitzky, Annegret; Liero, Matthias; Nika, Grigor
2
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Compactness and existence results for quasilinear elliptic problems with singular or vanishing potentials. Zbl 1484.35242
Badiale, Marino; Guida, Michela; Rolando, Sergio
2
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Analytical expressions of copositivity for fourth-order symmetric tensors. Zbl 07421751
Song, Yisheng; Qi, Liqun
2
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Simplified error bounds for turning point expansions. Zbl 1491.34101
Dunster, T. M.; Gil, A.; Segura, J.
2
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A new theory of fractional differential calculus. Zbl 1479.26007
Feng, Xiaobing; Sutton, Mitchell
2
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Neural ODEs as the deep limit of ResNets with constant weights. Zbl 07362267
Avelin, Benny; Nyström, Kaj
2
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A new sufficient condition for sparse vector recovery via \(\ell_1\)-\( \ell_2\) local minimization. Zbl 1492.94029
Bi, Ning; Tan, Jun; Tang, Wai-Shing
1
2021
Asymptotic expansions for Wiener-Hopf equations. Zbl 1497.41028
Li, Kui; Wong, Roderick
1
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Algorithmic versatility of SPF-regularization methods. Zbl 07327477
Shen, Lixin; Suter, Bruce W.; Tripp, Erin E.
1
2021
Generalized representer theorems in Banach spaces. Zbl 1462.68156
Huang, Liren; Liu, Chunguang; Tan, Lulin; Ye, Qi
1
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Approximation of the Mumford-Shah functional by phase fields of bounded variation. Zbl 1460.49009
Belz, Sandro; Bredies, Kristian
1
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Emergence of mono-cluster flocking in the thermomechanical Cucker-Smale model under switching topologies. Zbl 1461.93230
Dong, Jiu-Gang; Ha, Seung-Yeal; Kim, Doheon
1
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Asymptotic approximations for eigenvalues and eigenfunctions of a spectral problem in a thin graph-like junction with a concentrated mass in the node. Zbl 1476.35023
Mel’nyk, Taras
1
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Asymptotics of the Charlier polynomials via difference equation methods. Zbl 1487.41040
Huang, Xiao-Min; Lin, Yu; Zhao, Yu-Qiu
1
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Data informed solution estimation for forward-backward stochastic differential equations. Zbl 1475.60100
Bao, Feng; Cao, Yanzhao; Yong, Jiongmin
1
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Deep ReLU networks and high-order finite element methods. Zbl 1452.65354
Opschoor, Joost A. A.; Petersen, Philipp C.; Schwab, Christoph
28
2020
Error bounds for approximations with deep ReLU neural networks in \(W^{s , p}\) norms. Zbl 1452.41009
Gühring, Ingo; Kutyniok, Gitta; Petersen, Philipp
23
2020
Rectified deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-sum games of nonlinear stiff systems. Zbl 1456.82804
Reisinger, Christoph; Zhang, Yufei
15
2020
Wellposedness and regularity of a variable-order space-time fractional diffusion equation. Zbl 1442.35575
Zheng, Xiangcheng; Wang, Hong
10
2020
Linear perturbations of the Wigner distribution and the Cohen class. Zbl 1437.42005
Cordero, Elena; Trapasso, S. Ivan
7
2020
Three-fold symmetric Hahn-classical multiple orthogonal polynomials. Zbl 1435.33011
Loureiro, Ana F.; Van Assche, Walter
5
2020
Liftings for ultra-modulation spaces, and one-parameter groups of Gevrey-type pseudo-differential operators. Zbl 1442.35573
Abdeljawad, Ahmed; Coriasco, Sandro; Toft, Joachim
5
2020
Online regularized pairwise learning with least squares loss. Zbl 1435.68284
Wang, Cheng; Hu, Ting
4
2020
On the \(K\)-functional in learning theory. Zbl 1434.68452
Sheng, Bao-Huai; Wang, Jian-Li
4
2020
Stability and optimization error of stochastic gradient descent for pairwise learning. Zbl 1490.68191
Shen, Wei; Yang, Zhenhuan; Ying, Yiming; Yuan, Xiaoming
3
2020
Performance analysis of the LapRSSLG algorithm in learning theory. Zbl 1432.68399
Sheng, Baohuai; Zhang, Haizhang
3
2020
The Cauchy problem for a two-dimensional generalized Kadomtsev-Petviashvili-I equation in anisotropic Sobolev spaces. Zbl 1434.35171
Yan, Wei; Li, Yongsheng; Huang, Jianhua; Duan, Jinqiao
3
2020
PhaseMax: stable guarantees from noisy sub-Gaussian measurements. Zbl 1492.94032
Li, Huiping; Li, Song; Xia, Yu
2
2020
Robust recovery of signals with partially known support information using weighted BPDN. Zbl 1458.94141
Wang, Wendong; Wang, Jianjun
2
2020
Mathematical modeling and qualitative analysis of viscoelastic conductive fluids. Zbl 1451.76008
Tan, Zhong; Wang, Yong; Wu, Wenpei
2
2020
Jointly low-rank and bisparse recovery: questions and partial answers. Zbl 1434.65050
Foucart, Simon; Gribonval, Rémi; Jacques, Laurent; Rauhut, Holger
2
2020
Convergence analysis of distributed multi-penalty regularized pairwise learning. Zbl 1435.68262
Hu, Ting; Fan, Jun; Xiang, Dao-Hong
2
2020
The Littlewood-Paley decomposition for periodic functions and applications to the Boussinesq equations. Zbl 1444.42023
Dai, Yichen; Hu, Weiwei; Wu, Jiahong; Xiao, Bei
2
2020
Superposition, reduction of multivariable problems, and approximation. Zbl 07272156
Jorgensen, Palle E. T.; Tian, James F.
1
2020
A self-adaptive regularized alternating least squares method for tensor decomposition problems. Zbl 1432.90125
Mao, Xianpeng; Yuan, Gonglin; Yang, Yuning
1
2020
Generalized support vector regression: duality and tensor-kernel representation. Zbl 1441.62101
Salzo, Saverio; Suykens, Johan A. K.
1
2020
Solutions of the Al-Salam-Chihara and allied moment problems. Zbl 1432.33017
Ismail, Mourad E. H.
1
2020
Asymptotics of the Wilson polynomials. Zbl 1435.33010
Li, Yu-Tian; Wang, Xiang-Sheng; Wong, Roderick
1
2020
Large deviation rates for Markov branching processes. Zbl 1434.60244
Li, Junping; Cheng, Lan; Pakes, Anthony G.; Chen, Anyue; Li, Liuyan
1
2020
Asymptotic behaviors for nonlocal diffusion equations about the dispersal spread. Zbl 1447.35235
Su, Yuan-Hang; Li, Wan-Tong; Yang, Fei-Ying
1
2020
Kernel regression, minimax rates and effective dimensionality: beyond the regular case. Zbl 1443.62091
Blanchard, Gilles; Mücke, Nicole
1
2020
Deep learning in high dimension: neural network expression rates for generalized polynomial chaos expansions in UQ. Zbl 1478.68309
Schwab, Christoph; Zech, Jakob
37
2019
Real-variable characterizations of Orlicz-slice Hardy spaces. Zbl 1423.42042
Zhang, Yangyang; Yang, Dachun; Yuan, Wen; Wang, Songbai
23
2019
Random sampling and reconstruction in multiply generated shift-invariant spaces. Zbl 1417.42045
Yang, Jianbin
13
2019
Inverse scattering for a random potential. Zbl 1430.81081
Caro, Pedro; Helin, Tapio; Lassas, Matti
13
2019
Existence of ground states for aggregation-diffusion equations. Zbl 1433.35417
Carrillo, J. A.; Delgadino, M. G.; Patacchini, F. S.
11
2019
From Boltzmann to incompressible Navier-Stokes in Sobolev spaces with polynomial weight. Zbl 1405.35134
Briant, Marc; Merino-Aceituno, Sara; Mouhot, Clément
11
2019
Deep neural networks for rotation-invariance approximation and learning. Zbl 1423.68378
Chui, Charles K.; Lin, Shao-Bo; Zhou, Ding-Xuan
9
2019
Online minimum error entropy algorithm with unbounded sampling. Zbl 1410.68327
Wang, Cheng; Hu, Ting
8
2019
Besov regularity of parabolic and hyperbolic PDEs. Zbl 1420.35055
Dahlke, Stephan; Schneider, Cornelia
6
2019
Slow manifolds for dynamical systems with non-Gaussian stable Lévy noise. Zbl 1417.37269
Yuan, Shenglan; Hu, Jianyu; Liu, Xianming; Duan, Jinqiao
5
2019
Reconstruction of stationary and non-stationary signals by the generalized Prony method. Zbl 1422.94015
Plonka, Gerlind; Stampfer, Kilian; Keller, Ingeborg
4
2019
Distributed learning with indefinite kernels. Zbl 1440.68238
Shi, Lei
4
2019
New estimates of the distance between two surfaces in terms of the distance between their fundamental forms. Zbl 1475.53014
Ciarlet, Philippe G.; Malin, Maria; Mardare, Cristinel
3
2019
Existence of heteroclinic solutions for a class of problems involving the fractional Laplacian. Zbl 07077615
Alves, Claudianor O.; Ambrosio, Vincenzo; Torres Ledesma, César E.
3
2019
Regularized Nyström subsampling in regression and ranking problems under general smoothness assumptions. Zbl 1416.68145
Myleiko, G. L.; Pereverzyev, S. jun.; Solodky, S. G.
3
2019
Existence of solution for a class of quasilinear elliptic problem without \(\Delta_2\)-condition. Zbl 1421.35126
Alves, Claudianor O.; Silva, Edcarlos D.; Pimenta, Marcos T. O.
3
2019
\(q\)-Analogs of Lidstone expansion theorem, two-point Taylor expansion theorem, and Bernoulli polynomials. Zbl 1423.05029
Ismail, Mourad E. H.; Mansour, Zeinab S. I.
3
2019
Analysis of regularized Nyström subsampling for regression functions of low smoothness. Zbl 1440.68250
Lu, Shuai; Mathé, Peter; Pereverzyev Jr., Sergiy
3
2019
Boundedness and compactness characterizations of Riesz transform commutators on Morrey spaces in the Bessel setting. Zbl 1405.42026
Mao, Suzhen; Wu, Huoxiong; Yang, Dongyong
3
2019
A polyconvex extension of the logarithmic Hencky strain energy. Zbl 1416.74018
Martin, Robert J.; Ghiba, Ionel-Dumitrel; Neff, Patrizio
2
2019
Accelerate stochastic subgradient method by leveraging local growth condition. Zbl 1431.90104
Xu, Yi; Lin, Qihang; Yang, Tianbao
2
2019
Asymptotic stability of viscous contact wave and rarefaction waves for the system of heat-conductive ideal gas without viscosity. Zbl 1417.35118
Fan, Lili; Gong, Guiqiong; Tang, Shaojun
1
2019
Overlapping sliced inverse regression for dimension reduction. Zbl 1431.62258
Zhang, Ning; Yu, Zhou; Wu, Qiang
1
2019
Semi-supervised learning with summary statistics. Zbl 1430.68272
Qin, Huihui; Guo, Xin
1
2019
Generalized Navier-Stokes equations with nonlinear anisotropic viscosity. Zbl 1428.35354
de Oliveira, H. B.
1
2019
Characterization of \(\ell_1\) minimizer in one-bit compressed sensing. Zbl 1458.94074
Bi, Ning; Tan, Jun
1
2019
Bias corrected regularization kernel method in ranking. Zbl 1442.68195
He, Fangchao; Wu, Qiang
1
2019
Asymptotic analysis for affine point processes with large initial intensity. Zbl 1405.60033
Yao, Nian; Xiao, Mingqing
1
2019
Deep distributed convolutional neural networks: universality. Zbl 1442.68214
Zhou, Ding-Xuan
41
2018
Global classical solutions to the 3D Navier-Stokes-Korteweg equations with small initial energy. Zbl 1375.76043
Hou, Xiaofeng; Peng, Hongyun; Zhu, Changjiang
15
2018
Regularized learning schemes in feature Banach spaces. Zbl 1378.62015
Combettes, Patrick L.; Salzo, Saverio; Villa, Silvia
11
2018
A global existence of classical solutions to the hydrodynamic Cucker-Smale model in presence of a temperature field. Zbl 1432.35174
Ha, Seung-Yeal; Kim, Jeongho; Min, Chanho; Ruggeri, Tommaso; Zhang, Xiongtao
11
2018
Remarks on the complete synchronization for the Kuramoto model with frustrations. Zbl 1432.34072
Ha, Seung-Yeal; Kim, Hwa Kil; Park, Jinyeong
10
2018
Construction of wavelets and framelets on a bounded interval. Zbl 1404.42065
Han, Bin; Michelle, Michelle
9
2018
A nonsmooth static frictionless contact problem with locking materials. Zbl 1403.74064
Sofonea, Mircea
9
2018
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Cited by 3,818 Authors

59 Yin, Zhaoyang
55 Zhou, Dingxuan
40 Ciarlet, Philippe Gaston
37 Ha, Seung-Yeal
37 Schwab, Christoph
35 Rădulescu, Vicenţiu D.
34 Yang, Dachun
31 Yang, Tong
28 Mardare, Cristinel
28 Mejjaoli, Hatem
24 Duan, Renjun
23 Yuan, Wen
22 Griso, Georges
21 Mi, Yongsheng
20 Molica Bisci, Giovanni
20 Mu, Chunlai
20 Papageorgiou, Nikolaos S.
19 Wu, Qiang
18 Cohen, Albert
18 Mortici, Cristinel
17 Costarelli, Danilo
17 Hu, Ting
17 Liu, Yue
17 López, José Luis
17 Temam, Roger Meyer
16 Guo, Boling
16 Repovš, Dušan D.
16 Suslina, Tat’yana Aleksandrovna
16 Vinti, Gianluca
16 Xiang, Dao-Hong
16 Zhao, Yuqiu
15 Baricz, Árpád
15 Heidarkhani, Shapour
15 Sun, Hongwei
14 Guo, Zheng-Chu
14 Mai Duc Thanh
14 Shi, Lei
14 Wong, Roderick Sue-Chuen
13 Bressan, Alberto
13 Colombo, Fabrizio
13 Fan, Jishan
13 Rosasco, Lorenzo A.
13 Sheng, Baohuai
12 García, Antonio G.
12 Hoang, Viet Ha
12 Jørgensen, Palle E. T.
12 Jung, Changyeol
12 Lin, Shaobo
12 Nobile, Fabio
12 Yang, Xiongfeng
11 Afrouzi, Ghasem Alizadeh
11 Ansari, Alireza
11 Eigel, Martin
11 Gal, Sorin Gheorghe
11 Guan, Chunxia
11 Ogawa, Takayoshi
11 Pagola, Pedro J.
11 Qiao, Zhijun
11 Toft, Joachim
11 Trimèche, Khalifa
11 Wang, Yuzhu
11 Webster, Clayton G.
11 Xu, Zongben
11 Zhao, Huijiang
10 Cordero, Elena
10 Coroianu, Lucian C.
10 Griebel, Michael
10 Grunert, Katrin
10 Lai, Shaoyong
10 Mikhailov, Sergey E.
10 Schneider, Reinhold
10 Xu, Shuaixia
10 Yang, Shaojie
10 Yu, Hongjun
10 Zhang, Binlin
10 Zhou, Yong
10 Zhu, Min
10 Zhu, Mingxuan
10 Zou, Bin
9 Alves, Claudianor Oliveira
9 DeVore, Ronald A.
9 Donato, Patrizia
9 Gantner, Jonathan
9 Hong, Youngjoon
9 Ismail, Mourad El-Houssieny
9 Jiang, Zaihong
9 Kim, Doheon
9 Li, Jinlu
9 Liu, Shuangqian
9 Lu, Dawei
9 Lv, Shaogao
9 Morimoto, Yoshinori
9 Qu, Changzheng
9 Rebholz, Leo G.
9 Wang, Cheng
9 Yang, Dongyong
9 Yang, Qixiang
9 Zhang, Yangyang
8 Blanchard, Dominique
8 Caristi, Giuseppe
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Cited in 476 Journals

133 Analysis and Applications (Singapore)
126 Journal of Mathematical Analysis and Applications
125 Journal of Differential Equations
72 Journal of Mathematical Physics
69 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
57 Applicable Analysis
46 Applied and Computational Harmonic Analysis
46 Discrete and Continuous Dynamical Systems
44 SIAM Journal on Mathematical Analysis
41 Archive for Rational Mechanics and Analysis
40 Nonlinear Analysis. Real World Applications
37 Comptes Rendus. Mathématique. Académie des Sciences, Paris
36 Applied Mathematics and Computation
35 ZAMP. Zeitschrift für angewandte Mathematik und Physik
35 Journal of Approximation Theory
35 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
34 Abstract and Applied Analysis
34 Complex Variables and Elliptic Equations
33 Communications on Pure and Applied Analysis
32 Communications in Mathematical Physics
32 Results in Mathematics
32 Journal de Mathématiques Pures et Appliquées. Neuvième Série
30 Computers & Mathematics with Applications
30 Boundary Value Problems
28 Journal of Computational and Applied Mathematics
27 Journal of Functional Analysis
27 Advances in Computational Mathematics
26 Mediterranean Journal of Mathematics
26 Science China. Mathematics
25 Proceedings of the American Mathematical Society
25 Applied Mathematics Letters
25 Integral Transforms and Special Functions
25 Kinetic and Related Models
24 Mathematical Methods in the Applied Sciences
24 Constructive Approximation
23 Monatshefte für Mathematik
23 Journal of Elasticity
23 Calculus of Variations and Partial Differential Equations
22 Journal of Complexity
21 Journal of Machine Learning Research (JMLR)
21 SIAM/ASA Journal on Uncertainty Quantification
20 SIAM Journal on Numerical Analysis
20 Journal of High Energy Physics
19 Journal of Statistical Physics
19 Chinese Annals of Mathematics. Series B
19 Journal of Mathematical Fluid Mechanics
18 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
18 Advances in Nonlinear Analysis
17 Computer Methods in Applied Mechanics and Engineering
17 Journal of Inequalities and Applications
17 Foundations of Computational Mathematics
16 Journal of Computational Physics
16 Annali di Matematica Pura ed Applicata. Serie Quarta
16 Journal of Scientific Computing
16 The Journal of Fourier Analysis and Applications
16 Acta Mathematica Scientia. Series B. (English Edition)
16 International Journal of Wavelets, Multiresolution and Information Processing
15 Numerische Mathematik
15 Physica D
15 Mathematics and Mechanics of Solids
15 The Ramanujan Journal
15 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
14 Numerical Functional Analysis and Optimization
14 Quarterly of Applied Mathematics
14 Acta Applicandae Mathematicae
14 The Journal of Geometric Analysis
14 SIAM Journal on Scientific Computing
13 Mathematics of Computation
13 Acta Mathematica Sinica. English Series
13 Journal of Evolution Equations
13 Discrete and Continuous Dynamical Systems. Series B
13 Advances in Difference Equations
13 Discrete and Continuous Dynamical Systems. Series S
12 Frontiers of Mathematics in China
11 Inverse Problems
11 Nonlinearity
11 Applied Mathematics and Optimization
11 Neural Networks
11 Neural Computation
11 Journal of Mathematical Sciences (New York)
11 Electronic Journal of Differential Equations (EJDE)
11 Journal of Hyperbolic Differential Equations
11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
11 Journal of Pseudo-Differential Operators and Applications
10 Advances in Mathematics
10 The Annals of Statistics
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
10 Communications in Partial Differential Equations
10 International Journal of Computer Mathematics
10 Journal of Nonlinear Science
10 NoDEA. Nonlinear Differential Equations and Applications
10 Complex Analysis and Operator Theory
10 Analysis and Mathematical Physics
9 Automatica
9 Mathematische Nachrichten
9 Studies in Applied Mathematics
9 Asymptotic Analysis
9 Applied Mathematical Modelling
9 Journal of Dynamics and Differential Equations
9 Communications in Nonlinear Science and Numerical Simulation
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Cited in 61 Fields

1,645 Partial differential equations (35-XX)
486 Fluid mechanics (76-XX)
435 Numerical analysis (65-XX)
375 Harmonic analysis on Euclidean spaces (42-XX)
368 Computer science (68-XX)
306 Approximations and expansions (41-XX)
277 Functional analysis (46-XX)
259 Special functions (33-XX)
250 Operator theory (47-XX)
233 Statistics (62-XX)
230 Mechanics of deformable solids (74-XX)
213 Ordinary differential equations (34-XX)
192 Probability theory and stochastic processes (60-XX)
145 Statistical mechanics, structure of matter (82-XX)
113 Dynamical systems and ergodic theory (37-XX)
113 Calculus of variations and optimal control; optimization (49-XX)
106 Functions of a complex variable (30-XX)
106 Biology and other natural sciences (92-XX)
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98 Real functions (26-XX)
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61 Operations research, mathematical programming (90-XX)
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35 Measure and integration (28-XX)
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