## 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: 518 Publications (since 2003) References Indexed: 515 Publications with 13,033 References.
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### Authors

 12 Wong, Roderick Sue-Chuen 11 Zhou, Dingxuan 9 Ciarlet, Philippe Gaston 9 Ismail, Mourad El-Houssieny 9 Mardare, Cristinel 7 Rădulescu, Vicenţiu D. 7 Yang, Dachun 7 Yang, Tong 6 Bressan, Alberto 6 De Vito, Ernesto 6 Dunster, T. M. 6 Greiner, Peter C. 6 Hu, Ting 6 Wu, Qiang 5 Ha, Seung-Yeal 5 Schwab, Christoph 5 Temam, Roger Meyer 4 Alzer, Horst 4 Fan, Jun 4 Griso, Georges 4 Haraux, Alain 4 Li, Yutian 4 Lin, Yu 4 Morimoto, Yoshinori 4 Smale, Steve 4 Trimèche, Khalifa 4 Zhao, Yuqiu 3 Alpay, Daniel Aron 3 Blanchard, Dominique 3 Caponnetto, Andrea 3 Chipot, Michel 3 Dinca, George 3 Guo, Boling 3 Kawashima, Shuichi 3 Li, Song 3 Liu, Yuji 3 Matei, Pavel 3 Molica Bisci, Giovanni 3 Rodrigo, Marianito R. 3 Seifert, George 3 Tan, Zhong 3 Toft, Joachim 3 Trabelsi, Karim 3 Ukai, Seiji 3 Vallee, Claude 3 Volkmer, Hans 3 Xiang, Dao-Hong 3 Yang, Dongyong 3 Ying, Yiming 3 Yuan, Wen 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 Chui, Charles Kam-tai 2 Ciarlet, Patrick jun. 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 Ding, Hongming 2 Duan, Jinqiao 2 Dunkl, Charles F. 2 Ezquerro, José Antonio 2 Fan, Jishan 2 Fan, Lili 2 Gal, Sorin Gheorghe 2 Ge, Weigao 2 Gil, Amparo 2 Gil’, Michael Iosif 2 Grau-Sánchez, Miquel 2 Guibé, Olivier 2 Guidugli, Paolo Podio 2 Guo, Xin 2 Hoang, Viet Ha 2 Iosifescu, Oana 2 Jørgensen, Palle E. T. 2 Jung, Changyeol 2 Kabán, Ata 2 Khwaja, Sarah Farid 2 Lamb, Wilson 2 Li, Yongsheng 2 Linh, Nguyen Thi Hoai 2 López, José Luis 2 Luce, Robert 2 Lv, Shaogao 2 Mâagli, Habib 2 Mardare, Sorin 2 Markowich, Peter Alexander ...and 716 more Authors
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### Fields

 198 Partial differential equations (35-XX) 65 Special functions (33-XX) 65 Ordinary differential equations (34-XX) 62 Harmonic analysis on Euclidean spaces (42-XX) 62 Computer science (68-XX) 61 Approximations and expansions (41-XX) 61 Fluid mechanics (76-XX) 50 Operator theory (47-XX) 48 Functional analysis (46-XX) 45 Mechanics of deformable solids (74-XX) 44 Numerical analysis (65-XX) 35 Statistics (62-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 20 Functions of a complex variable (30-XX) 20 Probability theory and stochastic processes (60-XX) 20 Biology and other natural sciences (92-XX) 19 Real functions (26-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Differential geometry (53-XX) 16 Operations research, mathematical programming (90-XX) 16 Information and communication theory, circuits (94-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Difference and functional equations (39-XX) 13 Statistical mechanics, structure of matter (82-XX) 10 Integral transforms, operational calculus (44-XX) 10 Quantum theory (81-XX) 9 Number theory (11-XX) 9 Abstract harmonic analysis (43-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Topological groups, Lie groups (22-XX) 8 Integral equations (45-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Potential theory (31-XX) 5 Mechanics of particles and systems (70-XX) 5 Geophysics (86-XX) 4 History and biography (01-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Optics, electromagnetic theory (78-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Systems theory; control (93-XX) 3 Manifolds and cell complexes (57-XX) 3 Relativity and gravitational theory (83-XX) 3 Astronomy and astrophysics (85-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Measure and integration (28-XX) 2 Algebraic topology (55-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Convex and discrete geometry (52-XX)

### Citations contained in zbMATH Open

384 Publications have been cited 3,411 times in 2,992 Documents Cited by Year
Global dissipative solutions of the Camassa-Holm equation. Zbl 1139.35378
2007
Analytic regularity and polynomial approximation of parametric and stochastic elliptic PDE’s. Zbl 1219.35379
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
2011
Estimating the approximation error in learning theory. Zbl 1079.68089
Smale, Steve; Zhou, Ding-Xuan
2003
Online learning with Markov sampling. Zbl 1170.68022
Smale, Steve; Zhou, Ding-Xuan
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
2006
Interior error estimate for periodic homogenization. Zbl 1098.35016
Griso, Georges
2006
Stationary waves of Schrödinger-type equations with variable exponent. Zbl 1331.35139
Repovš, Dušan
2015
A bifurcation result for non-local fractional equations. Zbl 1328.35280
2015
Cross-validation based adaptation for regularization operators in learning theory. Zbl 1209.68405
Caponnetto, Andrea; Yao, Yuan
2010
Green’s function and large time behavior of the Navier-Stokes-Maxwell system. Zbl 1241.35145
Duan, Renjun
2012
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.
2011
Optimizing the rate of convergence in some new classes of sequences convergent to Euler’s constant. Zbl 1185.26047
Mortici, Cristinel
2010
Regularization schemes for minimum error entropy principle. Zbl 1329.68216
Hu, Ting; Fan, Jun; Wu, Qiang; Zhou, Ding-Xuan
2015
Deep vs. shallow networks: an approximation theory perspective. Zbl 1355.68233
2016
The radius of convexity of normalized Bessel functions of the first kind. Zbl 1302.33003
Baricz, Árpád; Szász, Róbert
2014
Vector valued reproducing kernel Hilbert spaces of integrable functions and Mercer theorem. Zbl 1116.46019
Carmeli, Claudio; De Vito, Ernesto; Toigo, Alessandro
2006
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
2014
Homogenization of two heat conductors with an interfacial contact resistance. Zbl 1083.35014
Donato, Patrizia; Monsurrò, Sara
2004
Gauge theory and wild ramification. Zbl 1177.81101
Witten, Edward
2008
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
2003
Deep learning in high dimension: neural network expression rates for generalized polynomial chaos expansions in UQ. Zbl 1478.68309
Schwab, Christoph; Zech, Jakob
2019
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.
2003
Global solutions to the Boltzmann equation with external forces. Zbl 1152.76464
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
2005
A high accuracy Leray-deconvolution model of turbulence and its limiting behavior. Zbl 1210.76084
Layton, William; Lewandowski, Roger
2008
Deep distributed convolutional neural networks: universality. Zbl 1442.68214
Zhou, Ding-Xuan
2018
Resonant $$(p,2)$$-equations with asymmetric reaction. Zbl 1327.35125
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.
2015
Uniform asymptotic expansions for hypergeometric functions with large parameters. III. Zbl 1190.33002
Olde Daalhuis, A. B.
2010
Highly oscillating boundaries and reduction of dimension: the critical case. Zbl 1121.35012
Blanchard, Dominique; Gaudiello, Antonio; Mossino, Jacqueline
2007
Complex interpolation on Besov-type and Triebel-Lizorkin-type spaces. Zbl 1294.46020
Yang, Dachun; Yuan, Wen; Zhuo, Ciqiang
2013
Thresholded spectral algorithms for sparse approximations. Zbl 1409.68232
Guo, Zheng-Chu; Xiang, Dao-Hong; Guo, Xin; Zhou, Ding-Xuan
2017
Applications of the Łojasiewicz-Simon, gradient inequality to gradient-like evolution equations. Zbl 1192.34068
Chill, Ralph; Haraux, Alain; Jendoubi, Mohamed Ali
2009
Asymptotic behavior of structures made of curved rods. Zbl 1210.74121
Griso, Georges
2008
Weyl transforms associated with the spherical mean operator. Zbl 1045.47038
Rachdi, L. T.; Triméche, K.
2003
Asymptotic behavior of structures made of plates. Zbl 1111.74029
Griso, Georges
2005
Vector valued reproducing kernel Hilbert spaces and universality. Zbl 1195.46025
Carmeli, C.; de Vito, E.; Toigo, A.; Umanità, V.
2010
A justification of the Reissner-Mindlin plate theory through variational convergence. Zbl 1109.74031
Paroni, Roberto; Podio-Guidugli, Paolo; Tomassetti, Giuseppe
2007
Real-variable characterizations of Hardy spaces associated with Bessel operators. Zbl 1227.42021
Yang, Dachun; Yang, Dongyong
2011
Global existence and asymptotic behavior of solutions to the generalized cubic double dispersion equation. Zbl 1311.35141
Kawashima, Shuichi; Wang, Yu-Zhu
2015
Spectral properties of operators using tridiagonalization. Zbl 1248.33019
2012
Infinitely many solutions for the Dirichlet problem on the Sierpinski gasket. Zbl 1229.35049
Breckner, Brigitte E.; Rădulescu, Vicenţiu D.; Varga, Csaba
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
2016
Non-monotonic traveling waves in van der Waals fluids. Zbl 1083.35060
Bedjaoui, N.; Chalons, C.; Coquel, F.; LeFloch, P. G.
2005
Deep ReLU networks and high-order finite element methods. Zbl 1452.65354
Opschoor, Joost A. A.; Petersen, Philipp C.; Schwab, Christoph
2020
Multivariate sampling-type approximation. Zbl 1366.41020
Krivoshein, A.; Skopina, M.
2017
Biological transportation networks: modeling and simulation. Zbl 1329.35313
Albi, Giacomo; Artina, Marco; Foransier, Massimo; Markowich, Peter A.
2016
Analytic regularity and polynomial approximation of stochastic, parametric elliptic multiscale PDEs. Zbl 1259.49059
Hoang, V. H.; Schwab, CH.
2013
Existence result for nonlinear parabolic equations with lower order terms. Zbl 1225.35134
Di Nardo, Rosaria; Feo, Filomena; Guibé, Olivier
2011
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.
2013
Existence of boundary layer solutions to the Boltzmann equation. Zbl 1172.35358
Chen, Chiun-Chuan; Liu, Tai-Ping; Yang, Tong
2004
Global multidimensional shock wave for the steady supersonic flow past a three-dimensional curved cone. Zbl 1094.35080
Xin, Zhouping; Yin, Huicheng
2006
On isometric immersions of a Riemannian space with little regularity. Zbl 1087.53031
Mardare, Sorin
2004
Perturbation of the generator of a quaternionic evolution operator. Zbl 1327.47035
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene
2015
Flocking and non-flocking behavior in a stochastic Cucker-Smale system. Zbl 1291.60124
Ton, Ta Viet; Linh, Nguyen Thi Hoai; Yagi, Atsushi
2014
Blow-up solutions of the two-dimensional heat equation due to a localized moving source. Zbl 1086.35006
Kirk, C. M.; Olmstead, W. E.
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
2005
Learning rates for regularized least squares ranking algorithm. Zbl 1420.68182
Zhao, Yulong; Fan, Jun; Shi, Lei
2017
Discretization error analysis for Tikhonov regularization. Zbl 1088.65056
De Vito, Ernesto; Rosasco, Lorenzo; Caponnetto, Andrea
2006
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.
2007
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
2008
Inequalities involving gamma and psi functions. Zbl 1042.33002
Clark, W. Edwin; Ismail, Mourad E. H.
2003
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.
2015
Modeling of a membrane for nonlinearly elastic incompressible materials via gamma-convergence. Zbl 1086.74025
Trabelsi, Karim
2006
Online regression with varying Gaussians and non-identical distributions. Zbl 1253.68189
Hu, Ting
2011
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.
2004
Convergence rates of kernel conjugate gradient for random design regression. Zbl 1349.62125
Blanchard, Gilles; Krämer, Nicole
2016
Blocking strategies for a fire control problem. Zbl 1160.49043
Bressan, Alberto; Burago, Maria; Friend, Arthur; Jou, Jessica
2008
Continuity of Calderón-Zygmund operators on Besov or Triebel-Lizorkin spaces. Zbl 1268.42026
Meyer, Y.; Yang, Q. X.
2008
Asymptotics of orthogonal polynomials via recurrence relations. Zbl 1242.41035
Wang, X.-S.; Wong, R.
2012
Real-variable characterizations of Orlicz-slice Hardy spaces. Zbl 1423.42042
Zhang, Yangyang; Yang, Dachun; Yuan, Wen; Wang, Songbai
2019
Solution to system of partial fractional differential equations using the $$\mathcal L_2$$-transform. Zbl 1208.26013
Aghili, A.; Ansari, A.
2011
Decomposition of deformations of thin rods. Application to nonlinear elasticity. Zbl 1165.74027
Blanchard, Dominique; Griso, Georges
2009
Error bounds for learning the kernel. Zbl 1392.68357
Micchelli, Charles A.; Pontil, Massimiliano; Wu, Qiang; Zhou, Ding-Xuan
2016
Functions of the infinitesimal generator of a strongly continuous quaternionic group. Zbl 1370.47015
Alpay, Daniel; Colombo, Fabrizio; Gantner, Jonathan; Kimsey, David P.
2017
Indefinite kernel network with dependent sampling. Zbl 1281.68194
Sun, Hongwei; Wu, Qiang
2013
Uniform asymptotic expansions for hypergeometric functions with large parameters. II. Zbl 1048.33005
Olde Daalhuis, A. B.
2003
Learning rates for the risk of kernel-based quantile regression estimators in additive models. Zbl 1338.62077
Christmann, Andreas; Zhou, Ding-Xuan
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
2016
On the equivalence of two fundamental theta identities. Zbl 1379.11049
Koornwinder, Tom H.
2014
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
2016
$$L^{\infty }$$-estimates for divergence operators on bad domains. Zbl 1242.35069
ter Elst, A. F. M.; Rehberg, Joachim
2012
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.
2010
The Riemann-Hilbert approach to global asymptotics of discrete orthogonal polynomials with infinite nodes. Zbl 1200.42014
Ou, Chunhua; Wong, R.
2010
Classes of functions with improved estimates in approximation by the max-product Bernstein operator. Zbl 1226.41007
Coroianu, Lucian; Gal, Sorin G.
2011
Singular perturbation analysis on a homogeneous ocean circulation model. Zbl 1229.76091
Jung, Chang-Yeol; Petcu, Madalina; Temam, Roger
2011
Uniform asymptotic expansions for hypergeometric functions with large parameters. IV. Zbl 1300.33007
Khwaja, S. Farid; Daalhuis, A. B. Olde
2014
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
2018
Fractional order kinetic equations and hypoellipticity. Zbl 1251.35019
Alexandre, R.
2012
Transmutation operators and Paley-Wiener theorem associated with a Cherednik type operator on the real line. Zbl 1200.42003
Mourou, Mohamed Ali
2010
Semilinear nonlocal problems without the assumptions of compactness in Banach spaces. Zbl 1202.34107
Xue, Xingmei
2010
Large and bounded solutions for a class of nonlinear Schrödinger stationary systems. Zbl 1181.35062
Ghanmi, Abdejabbar; Mâagli, Habib; Rădulescu, Vicenţiu; Zeddini, Noureddine
2009
Weighted maximal estimates along curve associated with dispersive equations. Zbl 1362.42027
Ding, Yong; Niu, Yaoming
2017
Continuity and compactness for pseudo-differential operators with symbols in quasi-Banach spaces or Hörmander classes. Zbl 1459.47019
Toft, Joachim
2017
A nonstandard free boundary problem arising from stratigraphy. Zbl 1096.35069
Antontsev, S. N.; Gagneux, G.; Luce, R.; Vallet, G.
2006
Asymptotic expansions for Riemann-Hilbert problems. Zbl 1151.41022
Qiu, W.-Y.; Wong, R.
2008
Eigenvalue problems associated with nonhomogeneous differential operators in Orlizc-Sobolev spaces. Zbl 1159.35051
Mihăilescu, Mihai; Rădulescu, Vicenţiu
2008
Towards spaces of harmonic functions with traces in square Campanato spaces and their scaling invariants. Zbl 1366.46022
Jiang, Renjin; Xiao, Jie; Yang, Dachun
2016
Error bounds for approximations with deep ReLU neural networks in $$W^{s , p}$$ norms. Zbl 1452.41009
Gühring, Ingo; Kutyniok, Gitta; Petersen, Philipp
2020
Existence theorems for fractional $$p$$-Laplacian problems. Zbl 1371.35330
Piersanti, Paolo; Pucci, Patrizia
2017
On the maximal Sobolev regularity of distributions supported by subsets of Euclidean space. Zbl 1383.46027
Hewett, D. P.; Moiola, A.
2017
Regularized learning schemes in feature Banach spaces. Zbl 1378.62015
Combettes, Patrick L.; Salzo, Saverio; Villa, Silvia
2018
Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal. Zbl 07484164
Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin
2022
Optimal learning with Gaussians and correntropy loss. Zbl 1462.68159
Lv, Fusheng; Fan, Jun
2021
Analysis of adaptive short-time Fourier transform-based synchrosqueezing transform. Zbl 1472.42043
Cai, Haiyan; Jiang, Qingtang; Li, Lin; Suter, Bruce W.
2021
High-order low-bit Sigma-Delta quantization for fusion frames. Zbl 07327475
Gao, Zhen; Krahmer, Felix; Powell, Alexander M.
2021
Approximation by max-product sampling Kantorovich operators with generalized kernels. Zbl 1464.41004
Coroianu, Lucian; Costarelli, Danilo; Gal, Sorin G.; Vinti, Gianluca
2021
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
2021
Compactness and existence results for quasilinear elliptic problems with singular or vanishing potentials. Zbl 07421750
Badiale, Marino; Guida, Michela; Rolando, Sergio
2021
Reproducing kernel Hilbert spaces on manifolds: Sobolev and diffusion spaces. Zbl 1478.46021
De Vito, Ernesto; Mücke, Nicole; Rosasco, Lorenzo
2021
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
2021
On Cucker-Smale dynamical systems with degenerate communication. Zbl 1471.92398
Dietert, Helge; Shvydkoy, Roman
2021
Asymptotics of solutions to a fifth-order modified Korteweg-de Vries equation in the quarter plane. Zbl 1479.35744
Liu, Nan; Guo, Boling
2021
Generalized representer theorems in Banach spaces. Zbl 1462.68156
Huang, Liren; Liu, Chunguang; Tan, Lulin; Ye, Qi
2021
A regularized convolutional neural network for semantic image segmentation. Zbl 1462.68211
Jia, Fan; Liu, Jun; Tai, Xue-Cheng
2021
Approximation of the Mumford-Shah functional by phase fields of bounded variation. Zbl 1460.49009
Belz, Sandro; Bredies, Kristian
2021
Local strong solutions to the Cauchy problem of two-dimensional nonhomogeneous magneto-micropolar fluid equations with nonnegative density. Zbl 1460.35302
Zhong, Xin
2021
Analytical expressions of copositivity for fourth-order symmetric tensors. Zbl 07421751
Song, Yisheng; Qi, Liqun
2021
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.
2021
Neural ODEs as the deep limit of ResNets with constant weights. Zbl 07362267
Avelin, Benny; Nyström, Kaj
2021
Simplified error bounds for turning point expansions. Zbl 07403147
Dunster, T. M.; Gil, A.; Segura, J.
2021
Deep ReLU networks and high-order finite element methods. Zbl 1452.65354
Opschoor, Joost A. A.; Petersen, Philipp C.; Schwab, Christoph
2020
Error bounds for approximations with deep ReLU neural networks in $$W^{s , p}$$ norms. Zbl 1452.41009
Gühring, Ingo; Kutyniok, Gitta; Petersen, Philipp
2020
Wellposedness and regularity of a variable-order space-time fractional diffusion equation. Zbl 1442.35575
Zheng, Xiangcheng; Wang, Hong
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
2020
Linear perturbations of the Wigner distribution and the Cohen class. Zbl 1437.42005
Cordero, Elena; Trapasso, S. Ivan
2020
Online regularized pairwise learning with least squares loss. Zbl 1435.68284
Wang, Cheng; Hu, Ting
2020
Three-fold symmetric Hahn-classical multiple orthogonal polynomials. Zbl 1435.33011
Loureiro, Ana F.; Van Assche, Walter
2020
On the $$K$$-functional in learning theory. Zbl 1434.68452
Sheng, Bao-Huai; Wang, Jian-Li
2020
Convergence analysis of distributed multi-penalty regularized pairwise learning. Zbl 1435.68262
Hu, Ting; Fan, Jun; Xiang, Dao-Hong
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
2020
Mathematical modeling and qualitative analysis of viscoelastic conductive fluids. Zbl 1451.76008
Tan, Zhong; Wang, Yong; Wu, Wenpei
2020
PhaseMax: stable guarantees from noisy sub-Gaussian measurements. Zbl 07272158
Li, Huiping; Li, Song; Xia, Yu
2020
Stability and optimization error of stochastic gradient descent for pairwise learning. Zbl 07272159
Shen, Wei; Yang, Zhenhuan; Ying, Yiming; Yuan, Xiaoming
2020
Jointly low-rank and bisparse recovery: questions and partial answers. Zbl 1434.65050
Foucart, Simon; Gribonval, Rémi; Jacques, Laurent; Rauhut, Holger
2020
Performance analysis of the LapRSSLG algorithm in learning theory. Zbl 1432.68399
Sheng, Baohuai; Zhang, Haizhang
2020
A self-adaptive regularized alternating least squares method for tensor decomposition problems. Zbl 1432.90125
Mao, Xianpeng; Yuan, Gonglin; Yang, Yuning
2020
Generalized support vector regression: duality and tensor-kernel representation. Zbl 1441.62101
Salzo, Saverio; Suykens, Johan A. K.
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
2020
Kernel regression, minimax rates and effective dimensionality: beyond the regular case. Zbl 1443.62091
Blanchard, Gilles; Mücke, Nicole
2020
Robust recovery of signals with partially known support information using weighted BPDN. Zbl 1458.94141
Wang, Wendong; Wang, Jianjun
2020
Large deviation rates for Markov branching processes. Zbl 1434.60244
Li, Junping; Cheng, Lan; Pakes, Anthony G.; Chen, Anyue; Li, Liuyan
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
2020
Deep learning in high dimension: neural network expression rates for generalized polynomial chaos expansions in UQ. Zbl 1478.68309
Schwab, Christoph; Zech, Jakob
2019
Real-variable characterizations of Orlicz-slice Hardy spaces. Zbl 1423.42042
Zhang, Yangyang; Yang, Dachun; Yuan, Wen; Wang, Songbai
2019
From Boltzmann to incompressible Navier-Stokes in Sobolev spaces with polynomial weight. Zbl 1405.35134
Briant, Marc; Merino-Aceituno, Sara; Mouhot, Clément
2019
Random sampling and reconstruction in multiply generated shift-invariant spaces. Zbl 1417.42045
Yang, Jianbin
2019
Inverse scattering for a random potential. Zbl 1430.81081
Caro, Pedro; Helin, Tapio; Lassas, Matti
2019
Existence of ground states for aggregation-diffusion equations. Zbl 1433.35417
Carrillo, J. A.; Delgadino, M. G.; Patacchini, F. S.
2019
Online minimum error entropy algorithm with unbounded sampling. Zbl 1410.68327
Wang, Cheng; Hu, Ting
2019
Deep neural networks for rotation-invariance approximation and learning. Zbl 1423.68378
Chui, Charles K.; Lin, Shao-Bo; Zhou, Ding-Xuan
2019
Besov regularity of parabolic and hyperbolic PDEs. Zbl 1420.35055
Dahlke, Stephan; Schneider, Cornelia
2019
Reconstruction of stationary and non-stationary signals by the generalized Prony method. Zbl 1422.94015
Plonka, Gerlind; Stampfer, Kilian; Keller, Ingeborg
2019
Slow manifolds for dynamical systems with non-Gaussian stable Lévy noise. Zbl 1417.37269
Yuan, Shenglan; Hu, Jianyu; Liu, Xianming; Duan, Jinqiao
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.
2019
Distributed learning with indefinite kernels. Zbl 1440.68238
Shi, Lei
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
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
2019
Accelerate stochastic subgradient method by leveraging local growth condition. Zbl 1431.90104
Xu, Yi; Lin, Qihang; Yang, Tianbao
2019
Analysis of regularized Nyström subsampling for regression functions of low smoothness. Zbl 1440.68250
Lu, Shuai; Mathé, Peter; Pereverzyev Jr., Sergiy
2019
Bias corrected regularization kernel method in ranking. Zbl 1442.68195
He, Fangchao; Wu, Qiang
2019
Asymptotic analysis for affine point processes with large initial intensity. Zbl 1405.60033
Yao, Nian; Xiao, Mingqing
2019
A polyconvex extension of the logarithmic Hencky strain energy. Zbl 1416.74018
Martin, Robert J.; Ghiba, Ionel-Dumitrel; Neff, Patrizio
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.
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.
2019
Overlapping sliced inverse regression for dimension reduction. Zbl 1431.62258
Zhang, Ning; Yu, Zhou; Wu, Qiang
2019
Semi-supervised learning with summary statistics. Zbl 1430.68272
Qin, Huihui; Guo, Xin
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.
2019
Characterization of $$\ell_1$$ minimizer in one-bit compressed sensing. Zbl 1458.94074
Bi, Ning; Tan, Jun
2019
Deep distributed convolutional neural networks: universality. Zbl 1442.68214
Zhou, Ding-Xuan
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
2018
Regularized learning schemes in feature Banach spaces. Zbl 1378.62015
Combettes, Patrick L.; Salzo, Saverio; Villa, Silvia
2018
Remarks on the complete synchronization for the Kuramoto model with frustrations. Zbl 1432.34072
Ha, Seung-Yeal; Kim, Hwa Kil; Park, Jinyeong
2018
A nonsmooth static frictionless contact problem with locking materials. Zbl 1403.74064
Sofonea, Mircea
2018
Global classical solutions to the 3D Navier-Stokes-Korteweg equations with small initial energy. Zbl 1375.76043
Hou, Xiaofeng; Peng, Hongyun; Zhu, Changjiang
2018
Construction of wavelets and framelets on a bounded interval. Zbl 1404.42065
Han, Bin; Michelle, Michelle
2018
Gradient estimates via rearrangements for solutions of some Schrödinger equations. Zbl 1392.35102
Yang, Sibei; Chang, Der-Chen; Yang, Dachun; Fu, Zunwei
2018
Convergent expansions of the incomplete gamma functions in terms of elementary functions. Zbl 1390.33012
Bujanda, Blanca; López, José L.; Pagola, Pedro J.
2018
Lipschitz metric for the modified two-component Camassa-Holm system. Zbl 1382.35083
Guan, Chunxia; Yan, Kai; Wei, Xuemei
2018
Integral and series representations of $$q$$-polynomials and functions. I. Zbl 1387.33022
Ismail, Mourad E. H.; Zhang, Ruiming
2018
An intrinsic formulation of the Kirchhoff-love theory of linearly elastic plates. Zbl 1394.53004
Ciarlet, Philippe G.; Mardare, Cristinel
2018
A family of Crouzeix-Raviart finite elements in 3D. Zbl 1396.33020
Ciarlet, Patrick jun.; Dunkl, Charles F.; Sauter, Stefan A.
2018
Reproducing kernels of Sobolev spaces on $$\mathbb{R}^d$$ and applications to embedding constants and tractability. Zbl 1405.46022
Novak, Erich; Ullrich, Mario; Woźniakowski, Henryk; Zhang, Shun
2018
Faster convergence of a randomized coordinate descent method for linearly constrained optimization problems. Zbl 1395.68331
Fang, Qin; Xu, Min; Ying, Yiming
2018
A limit problem for three-dimensional ideal compressible radiation magneto-hydrodynamics. Zbl 1386.35361
Xie, Feng; Klingenberg, Christian
2018
Quasi-normal modes for Dirac fields in the Kerr-Newman-de Sitter black holes. Zbl 1397.35161
Iantchenko, Alexei
2018
Second-order dynamical systems with penalty terms associated to monotone inclusions. Zbl 1395.34069
Boţ, Radu Ioan; Csetnek, Ernö Robert; László, Szilárd Csaba
2018
Global strong solution for viscous incompressible heat conducting Navier-Stokes flows with density-dependent viscosity. Zbl 1398.35186
Zhong, Xin
2018
Strong $$L^p$$ convergence of wavelet deconvolution density estimators. Zbl 1380.42029
Liu, Youming; Zeng, Xiaochen
2018
Optimal open-loop strategies in a debt management problem. Zbl 1379.49001
Bressan, Alberto; Jiang, Yilun
2018
A dual-gradient chemotaxis system modeling the spontaneous aggregation of microglia in Alzheimer’s disease. Zbl 06868696
Jin, Hai-Yang; Wang, Zhi-An
2018
Pointwise error estimate for a consistent beam theory. Zbl 1375.74011
Chen, Xiaoyi; Song, Zilong; Dai, Hui-Hui
2018
Thresholded spectral algorithms for sparse approximations. Zbl 1409.68232
Guo, Zheng-Chu; Xiang, Dao-Hong; Guo, Xin; Zhou, Ding-Xuan
2017
Multivariate sampling-type approximation. Zbl 1366.41020
Krivoshein, A.; Skopina, M.
2017
Learning rates for regularized least squares ranking algorithm. Zbl 1420.68182
Zhao, Yulong; Fan, Jun; Shi, Lei
2017
Functions of the infinitesimal generator of a strongly continuous quaternionic group. Zbl 1370.47015
Alpay, Daniel; Colombo, Fabrizio; Gantner, Jonathan; Kimsey, David P.
2017
Weighted maximal estimates along curve associated with dispersive equations. Zbl 1362.42027
Ding, Yong; Niu, Yaoming
2017
Continuity and compactness for pseudo-differential operators with symbols in quasi-Banach spaces or Hörmander classes. Zbl 1459.47019
Toft, Joachim
2017
Existence theorems for fractional $$p$$-Laplacian problems. Zbl 1371.35330
Piersanti, Paolo; Pucci, Patrizia
2017
On the maximal Sobolev regularity of distributions supported by subsets of Euclidean space. Zbl 1383.46027
Hewett, D. P.; Moiola, A.
2017
On the general homogenization of von Kármán plate equations from three-dimensional nonlinear elasticity. Zbl 1356.35035
Velčić, Igor
2017
Local Hardy spaces associated with inhomogeneous higher order elliptic operators. Zbl 1361.42021
Cao, Jun; Mayboroda, Svitlana; Yang, Dachun
2017
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### Cited by 3,320 Authors

 57 Yin, Zhaoyang 53 Zhou, Dingxuan 40 Ciarlet, Philippe Gaston 36 Schwab, Christoph 35 Rădulescu, Vicenţiu D. 33 Ha, Seung-Yeal 30 Yang, Tong 28 Mardare, Cristinel 28 Mejjaoli, Hatem 27 Yang, Dachun 22 Duan, Renjun 21 Griso, Georges 20 Molica Bisci, Giovanni 19 Mi, Yongsheng 19 Mu, Chunlai 19 Papageorgiou, Nikolaos S. 18 Mortici, Cristinel 18 Yuan, Wen 17 Hu, Ting 17 Temam, Roger Meyer 17 Wu, Qiang 16 Cohen, Albert 16 Costarelli, Danilo 16 Liu, Yue 16 Repovš, Dušan D. 16 Vinti, Gianluca 16 Xiang, Dao-Hong 15 Baricz, Árpád 15 López, José Luis 15 Suslina, Tat’yana Aleksandrovna 14 Guo, Zheng-Chu 14 Heidarkhani, Shapour 14 Mai Duc Thanh 14 Sun, Hongwei 13 Bressan, Alberto 13 Colombo, Fabrizio 13 Fan, Jishan 13 Wong, Roderick Sue-Chuen 13 Zhao, Yuqiu 12 García, Antonio G. 12 Hoang, Viet Ha 12 Jørgensen, Palle E. T. 12 Jung, Changyeol 12 Nobile, Fabio 11 Guo, Boling 11 Rosasco, Lorenzo A. 11 Sheng, Baohuai 11 Trimèche, Khalifa 11 Wang, Yuzhu 11 Xu, Zongben 11 Yang, Xiongfeng 11 Zhao, Huijiang 10 Ansari, Alireza 10 Eigel, Martin 10 Grunert, Katrin 10 Guan, Chunxia 10 Lai, Shaoyong 10 Lin, Shaobo 10 Mikhailov, Sergey E. 10 Zhang, Binlin 10 Zhou, Yong 10 Zhu, Min 10 Zhu, Mingxuan 10 Zou, Bin 9 Afrouzi, Ghasem Alizadeh 9 Gantner, Jonathan 9 Griebel, Michael 9 Hong, Youngjoon 9 Jiang, Zaihong 9 Li, Jinlu 9 Liu, Shuangqian 9 Lu, Dawei 9 Lv, Shaogao 9 Morimoto, Yoshinori 9 Ogawa, Takayoshi 9 Pagola, Pedro J. 9 Qiao, Zhijun 9 Qu, Changzheng 9 Rebholz, Leo G. 9 Schneider, Reinhold 9 Webster, Clayton G. 9 Yang, Dongyong 9 Yang, Qixiang 8 Blanchard, Dominique 8 Caristi, Giuseppe 8 Feng, Yunlong 8 Gal, Sorin Gheorghe 8 Gratie, Liliana 8 Guo, Fei 8 Ismail, Mourad El-Houssieny 8 Kim, Doheon 8 Liu, Zhengrong 8 Nemes, Gergő 8 Pérez Sinusía, Ester 8 Sawano, Yoshihiro 8 Tambača, Josip 8 Tang, Hao 8 Tempone, Raúl F. 8 Tian, Lixin 8 Ukai, Seiji ...and 3,220 more Authors
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### Cited in 430 Journals

 119 Analysis and Applications (Singapore) 114 Journal of Mathematical Analysis and Applications 112 Journal of Differential Equations 68 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 64 Journal of Mathematical Physics 51 Applicable Analysis 45 Discrete and Continuous Dynamical Systems 40 Archive for Rational Mechanics and Analysis 39 Applied and Computational Harmonic Analysis 37 Comptes Rendus. Mathématique. Académie des Sciences, Paris 36 Applied Mathematics and Computation 35 SIAM Journal on Mathematical Analysis 34 Journal of Approximation Theory 34 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 34 Complex Variables and Elliptic Equations 33 ZAMP. Zeitschrift für angewandte Mathematik und Physik 33 Abstract and Applied Analysis 33 Nonlinear Analysis. Real World Applications 32 Communications on Pure and Applied Analysis 31 Journal de Mathématiques Pures et Appliquées. Neuvième Série 28 Communications in Mathematical Physics 28 Results in Mathematics 27 Computers & Mathematics with Applications 27 Journal of Computational and Applied Mathematics 26 Boundary Value Problems 25 Advances in Computational Mathematics 24 Mathematical Methods in the Applied Sciences 24 Kinetic and Related Models 23 Proceedings of the American Mathematical Society 23 Applied Mathematics Letters 23 Integral Transforms and Special Functions 23 Mediterranean Journal of Mathematics 23 Science China. Mathematics 21 Journal of Functional Analysis 20 Journal of Complexity 20 Constructive Approximation 20 Journal of Elasticity 19 Monatshefte für Mathematik 19 SIAM Journal on Numerical Analysis 19 Calculus of Variations and Partial Differential Equations 19 Journal of High Energy Physics 19 SIAM/ASA Journal on Uncertainty Quantification 18 Chinese Annals of Mathematics. Series B 17 Journal of Statistical Physics 17 Journal of Inequalities and Applications 17 Journal of Mathematical Fluid Mechanics 16 Computer Methods in Applied Mechanics and Engineering 16 Foundations of Computational Mathematics 16 Journal of Machine Learning Research (JMLR) 15 Numerische Mathematik 15 The Journal of Fourier Analysis and Applications 15 The Ramanujan Journal 15 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 15 International Journal of Wavelets, Multiresolution and Information Processing 15 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 15 Advances in Nonlinear Analysis 14 Acta Applicandae Mathematicae 13 Journal of Computational Physics 13 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Numerical Functional Analysis and Optimization 13 The Journal of Geometric Analysis 12 Quarterly of Applied Mathematics 12 Journal of Evolution Equations 12 Discrete and Continuous Dynamical Systems. Series S 11 Inverse Problems 11 Nonlinearity 11 Neural Networks 11 Neural Computation 11 Journal of Mathematical Sciences (New York) 11 Mathematics and Mechanics of Solids 11 Acta Mathematica Sinica. English Series 11 Discrete and Continuous Dynamical Systems. Series B 11 Journal of Hyperbolic Differential Equations 11 Frontiers of Mathematics in China 10 Mathematics of Computation 10 Applied Mathematics and Optimization 10 Physica D 10 Journal of Scientific Computing 10 Communications in Partial Differential Equations 10 International Journal of Computer Mathematics 10 SIAM Journal on Scientific Computing 10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 9 Advances in Mathematics 9 The Annals of Statistics 9 Mathematische Nachrichten 9 Studies in Applied Mathematics 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Applied Mathematical Modelling 9 NoDEA. Nonlinear Differential Equations and Applications 9 Advances in Difference Equations 9 Complex Analysis and Operator Theory 8 Automatica 8 SIAM Journal on Control and Optimization 8 Asymptotic Analysis 8 Journal of Dynamics and Differential Equations 8 Journal of Nonlinear Science 8 Potential Analysis 8 Electronic Journal of Differential Equations (EJDE) 8 Taiwanese Journal of Mathematics 8 Advanced Nonlinear Studies ...and 330 more Journals
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### Cited in 61 Fields

 1,456 Partial differential equations (35-XX) 423 Fluid mechanics (76-XX) 369 Numerical analysis (65-XX) 312 Harmonic analysis on Euclidean spaces (42-XX) 311 Computer science (68-XX) 258 Approximations and expansions (41-XX) 236 Functional analysis (46-XX) 234 Special functions (33-XX) 214 Operator theory (47-XX) 207 Mechanics of deformable solids (74-XX) 206 Statistics (62-XX) 192 Ordinary differential equations (34-XX) 170 Probability theory and stochastic processes (60-XX) 131 Statistical mechanics, structure of matter (82-XX) 102 Calculus of variations and optimal control; optimization (49-XX) 100 Dynamical systems and ergodic theory (37-XX) 90 Biology and other natural sciences (92-XX) 87 Functions of a complex variable (30-XX) 84 Information and communication theory, circuits (94-XX) 79 Real functions (26-XX) 78 Global analysis, analysis on manifolds (58-XX) 71 Quantum theory (81-XX) 70 Differential geometry (53-XX) 56 Integral transforms, operational calculus (44-XX) 53 Systems theory; control (93-XX) 49 Operations research, mathematical programming (90-XX) 48 Abstract harmonic analysis (43-XX) 46 Integral equations (45-XX) 42 Number theory (11-XX) 42 Difference and functional equations (39-XX) 41 Optics, electromagnetic theory (78-XX) 31 Geophysics (86-XX) 30 Measure and integration (28-XX) 26 Mechanics of particles and systems (70-XX) 25 Classical thermodynamics, heat transfer (80-XX) 23 Topological groups, Lie groups (22-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 21 Combinatorics (05-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Potential theory (31-XX) 18 Sequences, series, summability (40-XX) 17 Relativity and gravitational theory (83-XX) 9 Algebraic geometry (14-XX) 9 Nonassociative rings and algebras (17-XX) 9 Several complex variables and analytic spaces (32-XX) 7 Group theory and generalizations (20-XX) 7 Manifolds and cell complexes (57-XX) 6 Geometry (51-XX) 4 Associative rings and algebras (16-XX) 4 Convex and discrete geometry (52-XX) 4 Astronomy and astrophysics (85-XX) 3 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 $$K$$-theory (19-XX) 2 Mathematics education (97-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 General topology (54-XX)