# zbMATH — the first resource for mathematics

## Lu, Peng

Compute Distance To:
 Author ID: lu.peng Published as: Lu, Peng; Lu, P.; Lü, Peng
 Documents Indexed: 85 Publications since 1981, including 6 Books
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#### Co-Authors

 15 single-authored 20 Chow, Bennett 6 Glickenstein, David 6 Knopf, Dan 6 Ni, Lei 5 Isenberg, James A. 4 Chu, Sunchin 4 Feng, Enmin 4 Guenther, Christine M. 4 Ivey, Thomas A. 4 Li, Zhijun 4 Luo, Feng 4 Zheng, Yu 3 Li, Shuixiang 3 Tan, Bing 3 Tian, Gang 3 Yang, Bo 2 Ewing, Richard Edward 2 Hao, Lijie 2 Jiang, Guirong 2 Jin, Weiwei 2 Liu, Lufeng 2 Meng, Lingyi 2 Qing, Jie 2 Wang, Lei 1 Allen, Myron Bartlett III 1 Botvinnik, Boris I. 1 Chang, Shu-Cheng 1 Chen, Jingyi 1 Chen, Xiaoliang 1 Chen, Xiuxiong 1 Chen, Yufeng 1 Chu, Qiping 1 Dai, Yu 1 de Visser, Cornelis C. 1 Drugan, Gregory 1 Du, Yi 1 Gao, Maoting 1 Guan, Pengfei 1 Guo, Pengcheng 1 Guo, Xiangxiang 1 Guo, Xudong 1 Jackson, Martin 1 Jing, Ziwei 1 Kannan, Devika 1 Lan, Xiang 1 Lazarov, Raytcho D. 1 Leung, Conan Naichung 1 Li, Chunlong 1 Li, Fengjiang 1 Li, Tao 1 Li, Yuanzheng 1 Liang, Sheng 1 Lu, Bo 1 Lu, Zhiqin 1 Luo, Xingqi 1 MacEachern, Steven N. 1 Mo, Li 1 Nie, Shizhao 1 Peng, Wenji 1 Pujia, Wangmo 1 Qi, Zhongxiang 1 Schnack, Eckart 1 Sun, Dandan 1 van Kampen, Erik-Jan 1 Vassilevski, Panayot Spirov 1 Vazquez, Juan Luis 1 Villani, Cédric 1 Wan, Jihong 1 Wang, Chunfeng 1 Wang, Jianhong 1 Wang, Juan 1 Wang, Ting 1 Wang, Yangsheng 1 Wang, Zheng 1 Xie, Yu 1 Xu, Changgui 1 Xu, Xinyi 1 Xu, Yiyan 1 Yang, Jianwu 1 Ye, Zhenjun 1 Zhang, Chengjian 1 Zhang, Mandun 1 Zhang, Xingyuan 1 Zhang, Zhou 1 Zhao, Jian 1 Zheng, Zongsheng 1 Zhou, Jianzhong 1 Zou, Guoliang 1 Zou, Peiqi
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#### Serials

 7 Communications in Analysis and Geometry 5 Proceedings of the American Mathematical Society 4 Mathematical Surveys and Monographs 3 Physica A 3 Mathematische Annalen 2 Chaos, Solitons and Fractals 2 Applied Mathematics and Computation 2 Pacific Journal of Mathematics 2 Annals of Global Analysis and Geometry 2 The Journal of Geometric Analysis 2 Applied Mathematical Modelling 2 Communications in Nonlinear Science and Numerical Simulation 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Solids and Structures 1 Physics Letters. A 1 Advances in Mathematics 1 American Journal of Mathematics 1 Automatica 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Mathematische Zeitschrift 1 Numerical Functional Analysis and Optimization 1 Osaka Journal of Mathematics 1 Utilitas Mathematica 1 SIAM Journal on Scientific and Statistical Computing 1 Journal of Northeast Normal University. Natural Science Edition 1 Proceedings of the CSEE 1 Differential Geometry and its Applications 1 IMRN. International Mathematics Research Notices 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Physics A: Mathematical and General 1 Journal of Statistical Computation and Simulation 1 Chinese Science Bulletin 1 Archive of Applied Mechanics 1 Calculus of Variations and Partial Differential Equations 1 Mathematical Research Letters 1 Engineering Analysis with Boundary Elements 1 Journal of Zhengzhou University. Natural Science Edition 1 Geometry & Topology 1 Discrete Dynamics in Nature and Society 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Nonlinear and Convex Analysis 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 International Journal of Applied Mechanics and Engineering 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Journal of Shandong University. Natural Science 1 Communications in Mathematical Sciences 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Pacific Journal of Optimization 1 Systems Engineering and Electronics 1 Graduate Studies in Mathematics 1 Progress in Mathematics 1 Journal of Computer Applications 1 Science China. Mathematics 1 Journal of Yunnan Minzu University. Natural Sciences Edition
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#### Fields

 39 Differential geometry (53-XX) 14 Partial differential equations (35-XX) 14 Global analysis, analysis on manifolds (58-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Statistics (62-XX) 6 Numerical analysis (65-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Manifolds and cell complexes (57-XX) 5 Fluid mechanics (76-XX) 5 Biology and other natural sciences (92-XX) 4 Algebraic geometry (14-XX) 4 Computer science (68-XX) 4 Mechanics of deformable solids (74-XX) 3 Geophysics (86-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Associative rings and algebras (16-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH Open

48 Publications have been cited 767 times in 554 Documents Cited by Year
Hamilton’s Ricci flow. Zbl 1118.53001
Chow, Bennett; Lu, Peng; Ni, Lei
2006
The Ricci flow: techniques and applications. Part I: Geometric aspects. Zbl 1157.53034
Chow, Bennett; Chu, Sun-Chin; Glickenstein, David; Guenther, Christine; Isenberg, James; Ivey, Tom; Knopf, Dan; Lu, Peng; Luo, Feng; Ni, Lei
2007
Thin plate theory including surface effects. Zbl 1120.74602
Lu, P.; He, L. H.; Lee, H. P.; Lu, C.
2006
The Ricci flow: techniques and applications. Part II: Analytic aspects. Zbl 1157.53035
Chow, Bennett; Chu, Sun-Chin; Glickenstein, David; Guenther, Christine; Isenberg, James; Ivey, Tom; Knopf, Dan; Lu, Peng; Luo, Feng; Ni, Lei
2008
Local Aronson-Bénilan estimates and entropy formulae for porous medium and fast diffusion equations on manifolds. Zbl 1156.58015
Lu, Peng; Ni, Lei; Vázquez, Juan-Luis; Villani, Cédric
2009
The Ricci flow: techniques and applications. Part III: Geometric-analytic aspects. Zbl 1216.53057
Chow, Bennett; Chu, Sun-Chin; Glickenstein, David; Guenther, Christine; Isenberg, James; Ivey, Tom; Knopf, Dan; Lu, Peng; Luo, Feng; Ni, Lei
2010
A note on uniformization of Riemann surfaces by Ricci flow. Zbl 1113.53042
Chen, Xiuxiong; Lu, Peng; Tian, Gang
2006
Lower bounds for the scalar curvatures of noncompact gradient Ricci solitons. Zbl 1230.53036
Chow, Bennett; Lu, Peng; Yang, Bo
2011
Ricci flow on locally homogeneous closed 4-manifolds. Zbl 1121.53045
Isenberg, James; Jackson, Martin; Lu, Peng
2006
Regularized algorithms for the calculation of values on and near boundaries in 2D elastic BEM. Zbl 1051.74050
Chen, H. B.; Lu, P.; Schnack, E.
2001
A note on conformal Ricci flow. Zbl 1296.53132
Lu, Peng; Qing, Jie; Zheng, Yu
2014
Well-conditioned iterative schemes for mixed finite-element models of porous- media flows. Zbl 0777.76047
Allen, Myron B.; Ewing, Richard E.; Lu, Peng
1992
The maximum principle for systems of parabolic equations subject to an avoidance set. Zbl 1049.35101
Chow, Bennett; Lu, Peng
2004
Evolution of Yamabe constant under Ricci flow. Zbl 1112.53048
Chang, Shu-Cheng; Lu, Peng
2007
A Stroh-type formalism for anisotropic thin plates with bending-extension coupling. Zbl 1145.74378
Lu, P.
2004
A rigorous definition of fiberwise quantum cohomology and equivariant quantum cohomology. Zbl 0929.53048
Lu, Peng
1998
Kähler-Einstein metrics on Kummer threefold and special Lagrangian tori. Zbl 1023.32015
Lu, Peng
1999
The complex structures on connected sums of $$S^ 3\times S^ 3$$. Zbl 0854.32016
Lu, P.; Tian, G.
1996
The Ricci flow: techniques and applications. Part IV: Long-time solutions and related topics. Zbl 1341.53001
Chow, Bennett; Chu, Sun-Chin; Glickenstein, David; Guenther, Christine; Isenberg, James; Ivey, Tom; Knopf, Dan; Lu, Peng; Luo, Feng; Ni, Lei
2015
A compactness property for solutions of the Ricci flow on orbifolds. Zbl 1012.53030
Lu, Peng
2001
Maximum packing densities of basic 3D objects. Zbl 1196.52009
Li, Shuixiang; Zhao, Jian; Lu, Peng; Xie, Yu
2010
A local curvature bound in Ricci flow. Zbl 1194.53056
Lu, Peng
2010
A rigidity theorem for codimension one shrinking gradient Ricci solitons in $$\mathbb R^{n+1}$$. Zbl 1335.53060
Guan, Pengfei; Lu, Peng; Xu, Yiyan
2015
Collapsing sequences of solutions to the Ricci flow on 3-manifolds with almost nonnegative curvature. Zbl 1103.53038
Chow, Bennett; Glickenstein, David; Lu, Peng
2006
Framework for state and unknown input estimation of linear time-varying systems. Zbl 1372.93200
Lu, Peng; van Kampen, Erik-Jan; de Visser, Cornelis C.; Chu, Qiping
2016
Preconditioning indefinite systems arising from mixed finite element discretization of second-order elliptic problems. Zbl 0719.65024
Ewing, Richard E.; Lazarov, Raytcho D.; Lu, Peng; Vassilevski, Panayot S.
1990
Rigidity of complete entire self-shrinking solutions to Kähler-Ricci flow. Zbl 1326.53091
Drugan, Gregory; Lu, Peng; Yuan, Yu
2015
A necessary and sufficient condition for Ricci shrinkers to have positive AVR. Zbl 1239.53064
Chow, Bennett; Lu, Peng; Yang, Bo
2012
The complex structure on a connected sum of $$S^ 3\times S^ 3$$ with trivial canonical bundle. Zbl 0791.32012
Lu, P.; Tian, G.
1994
Conformal Ricci flow on asymptotically hyperbolic manifolds. Zbl 1412.53067
Lu, Peng; Qing, Jie; Zheng, Yu
2019
On the asymptotic scalar curvature ratio of complete type I-like ancient solutions to the Ricci flow on noncompact 3-manifolds. Zbl 1073.53083
Chow, Bennett; Lu, Peng
2004
Excluded volumes of clusters in tetrahedral particle packing. Zbl 1323.82024
Liu, Lufeng; Lu, Peng; Meng, Lingyi; Jin, Weiwei; Li, Shuixiang
2014
Uniqueness of asymptotic cones of complete noncompact shrinking gradient Ricci solitons with Ricci curvature decay. (Unicité des cônes asymptotiques des solitons gradients de Ricci contractants complets non compacts avec courbure de Ricci décroissante.) Zbl 1334.53065
Chow, Bennett; Lu, Peng
2015
Convergence of fundamental solutions of linear parabolic equations under Cheeger-Gromov convergence. Zbl 1243.58012
Lu, Peng
2012
When does inferring reputation probability countervail temptation in cooperative behaviors for the prisoners’ dilemma game? Zbl 1353.91007
Dai, Yu; Lu, Peng
2015
Hamilton’s injectivity radius estimate for sequences with almost nonnegative curvature operators. Zbl 1041.53042
Chow, Bennett; Knopf, Dan; Lu, Peng
2002
The regularity criteria on the magnetic field to the $$3D$$ incompressible MHD equations. Zbl 1434.35098
Guo, Xiang-Xiang; Du, Yi; Lu, Peng
2019
Degeneration of Kähler-Einstein metrics on complete Kähler manifolds. Zbl 0948.53040
Leung, Conan N.; Lu, Peng
1999
Metric transformations under collapsing of Riemannian manifolds. Zbl 1051.53034
Chow, Bennett; Glickenstein, David; Lu, Peng
2003
Ancient solutions of the Ricci flow on bundles. Zbl 1372.53067
Lu, Peng; Wang, Y. K.
2017
A bound for the order of the fundamental group of a complete noncompact Ricci shrinker. Zbl 1336.53076
Chow, Bennett; Lu, Peng
2016
On $$\kappa$$-noncollapsed complete noncompact shrinking gradient Ricci solitons which split at infinity. Zbl 1355.53040
Chow, Bennett; Lu, Peng
2016
Individual choice and reputation distribution of cooperative behaviors among heterogeneous groups. Zbl 1353.91010
Lu, Peng
2015
Optimal feedback control laws using nonlinear programming. Zbl 0793.49008
Lu, P.
1991
A model reduction method for the dynamic analysis of microelectromechanical systems. Zbl 1116.78344
Lin, W. Z.; Lee, K. H.; Lim, S. P.; Lu, P.
2001
Heterogeneity, judgment, and social trust of agents in rumor spreading. Zbl 1429.91268
Lu, Peng
2019
A multi-objective multi-population ant colony optimization for economic emission dispatch considering power system security. Zbl 1446.90037
Zhou, Jianzhong; Wang, Chao; Li, Yuanzheng; Wang, Ping; Li, Chunlong; Lu, Peng; Mo, Li
2017
Ancient solutions on bundles with non-abelian structural group. Zbl 07188064
Lu, Peng; Wang, Y. K.
2020
Ancient solutions on bundles with non-abelian structural group. Zbl 07188064
Lu, Peng; Wang, Y. K.
2020
Conformal Ricci flow on asymptotically hyperbolic manifolds. Zbl 1412.53067
Lu, Peng; Qing, Jie; Zheng, Yu
2019
The regularity criteria on the magnetic field to the $$3D$$ incompressible MHD equations. Zbl 1434.35098
Guo, Xiang-Xiang; Du, Yi; Lu, Peng
2019
Heterogeneity, judgment, and social trust of agents in rumor spreading. Zbl 1429.91268
Lu, Peng
2019
Ancient solutions of the Ricci flow on bundles. Zbl 1372.53067
Lu, Peng; Wang, Y. K.
2017
A multi-objective multi-population ant colony optimization for economic emission dispatch considering power system security. Zbl 1446.90037
Zhou, Jianzhong; Wang, Chao; Li, Yuanzheng; Wang, Ping; Li, Chunlong; Lu, Peng; Mo, Li
2017
Framework for state and unknown input estimation of linear time-varying systems. Zbl 1372.93200
Lu, Peng; van Kampen, Erik-Jan; de Visser, Cornelis C.; Chu, Qiping
2016
A bound for the order of the fundamental group of a complete noncompact Ricci shrinker. Zbl 1336.53076
Chow, Bennett; Lu, Peng
2016
On $$\kappa$$-noncollapsed complete noncompact shrinking gradient Ricci solitons which split at infinity. Zbl 1355.53040
Chow, Bennett; Lu, Peng
2016
The Ricci flow: techniques and applications. Part IV: Long-time solutions and related topics. Zbl 1341.53001
Chow, Bennett; Chu, Sun-Chin; Glickenstein, David; Guenther, Christine; Isenberg, James; Ivey, Tom; Knopf, Dan; Lu, Peng; Luo, Feng; Ni, Lei
2015
A rigidity theorem for codimension one shrinking gradient Ricci solitons in $$\mathbb R^{n+1}$$. Zbl 1335.53060
Guan, Pengfei; Lu, Peng; Xu, Yiyan
2015
Rigidity of complete entire self-shrinking solutions to Kähler-Ricci flow. Zbl 1326.53091
Drugan, Gregory; Lu, Peng; Yuan, Yu
2015
Uniqueness of asymptotic cones of complete noncompact shrinking gradient Ricci solitons with Ricci curvature decay. (Unicité des cônes asymptotiques des solitons gradients de Ricci contractants complets non compacts avec courbure de Ricci décroissante.) Zbl 1334.53065
Chow, Bennett; Lu, Peng
2015
When does inferring reputation probability countervail temptation in cooperative behaviors for the prisoners’ dilemma game? Zbl 1353.91007
Dai, Yu; Lu, Peng
2015
Individual choice and reputation distribution of cooperative behaviors among heterogeneous groups. Zbl 1353.91010
Lu, Peng
2015
A note on conformal Ricci flow. Zbl 1296.53132
Lu, Peng; Qing, Jie; Zheng, Yu
2014
Excluded volumes of clusters in tetrahedral particle packing. Zbl 1323.82024
Liu, Lufeng; Lu, Peng; Meng, Lingyi; Jin, Weiwei; Li, Shuixiang
2014
A necessary and sufficient condition for Ricci shrinkers to have positive AVR. Zbl 1239.53064
Chow, Bennett; Lu, Peng; Yang, Bo
2012
Convergence of fundamental solutions of linear parabolic equations under Cheeger-Gromov convergence. Zbl 1243.58012
Lu, Peng
2012
Lower bounds for the scalar curvatures of noncompact gradient Ricci solitons. Zbl 1230.53036
Chow, Bennett; Lu, Peng; Yang, Bo
2011
The Ricci flow: techniques and applications. Part III: Geometric-analytic aspects. Zbl 1216.53057
Chow, Bennett; Chu, Sun-Chin; Glickenstein, David; Guenther, Christine; Isenberg, James; Ivey, Tom; Knopf, Dan; Lu, Peng; Luo, Feng; Ni, Lei
2010
Maximum packing densities of basic 3D objects. Zbl 1196.52009
Li, Shuixiang; Zhao, Jian; Lu, Peng; Xie, Yu
2010
A local curvature bound in Ricci flow. Zbl 1194.53056
Lu, Peng
2010
Local Aronson-Bénilan estimates and entropy formulae for porous medium and fast diffusion equations on manifolds. Zbl 1156.58015
Lu, Peng; Ni, Lei; Vázquez, Juan-Luis; Villani, Cédric
2009
The Ricci flow: techniques and applications. Part II: Analytic aspects. Zbl 1157.53035
Chow, Bennett; Chu, Sun-Chin; Glickenstein, David; Guenther, Christine; Isenberg, James; Ivey, Tom; Knopf, Dan; Lu, Peng; Luo, Feng; Ni, Lei
2008
The Ricci flow: techniques and applications. Part I: Geometric aspects. Zbl 1157.53034
Chow, Bennett; Chu, Sun-Chin; Glickenstein, David; Guenther, Christine; Isenberg, James; Ivey, Tom; Knopf, Dan; Lu, Peng; Luo, Feng; Ni, Lei
2007
Evolution of Yamabe constant under Ricci flow. Zbl 1112.53048
Chang, Shu-Cheng; Lu, Peng
2007
Hamilton’s Ricci flow. Zbl 1118.53001
Chow, Bennett; Lu, Peng; Ni, Lei
2006
Thin plate theory including surface effects. Zbl 1120.74602
Lu, P.; He, L. H.; Lee, H. P.; Lu, C.
2006
A note on uniformization of Riemann surfaces by Ricci flow. Zbl 1113.53042
Chen, Xiuxiong; Lu, Peng; Tian, Gang
2006
Ricci flow on locally homogeneous closed 4-manifolds. Zbl 1121.53045
Isenberg, James; Jackson, Martin; Lu, Peng
2006
Collapsing sequences of solutions to the Ricci flow on 3-manifolds with almost nonnegative curvature. Zbl 1103.53038
Chow, Bennett; Glickenstein, David; Lu, Peng
2006
The maximum principle for systems of parabolic equations subject to an avoidance set. Zbl 1049.35101
Chow, Bennett; Lu, Peng
2004
A Stroh-type formalism for anisotropic thin plates with bending-extension coupling. Zbl 1145.74378
Lu, P.
2004
On the asymptotic scalar curvature ratio of complete type I-like ancient solutions to the Ricci flow on noncompact 3-manifolds. Zbl 1073.53083
Chow, Bennett; Lu, Peng
2004
Metric transformations under collapsing of Riemannian manifolds. Zbl 1051.53034
Chow, Bennett; Glickenstein, David; Lu, Peng
2003
Hamilton’s injectivity radius estimate for sequences with almost nonnegative curvature operators. Zbl 1041.53042
Chow, Bennett; Knopf, Dan; Lu, Peng
2002
Regularized algorithms for the calculation of values on and near boundaries in 2D elastic BEM. Zbl 1051.74050
Chen, H. B.; Lu, P.; Schnack, E.
2001
A compactness property for solutions of the Ricci flow on orbifolds. Zbl 1012.53030
Lu, Peng
2001
A model reduction method for the dynamic analysis of microelectromechanical systems. Zbl 1116.78344
Lin, W. Z.; Lee, K. H.; Lim, S. P.; Lu, P.
2001
Kähler-Einstein metrics on Kummer threefold and special Lagrangian tori. Zbl 1023.32015
Lu, Peng
1999
Degeneration of Kähler-Einstein metrics on complete Kähler manifolds. Zbl 0948.53040
Leung, Conan N.; Lu, Peng
1999
A rigorous definition of fiberwise quantum cohomology and equivariant quantum cohomology. Zbl 0929.53048
Lu, Peng
1998
The complex structures on connected sums of $$S^ 3\times S^ 3$$. Zbl 0854.32016
Lu, P.; Tian, G.
1996
The complex structure on a connected sum of $$S^ 3\times S^ 3$$ with trivial canonical bundle. Zbl 0791.32012
Lu, P.; Tian, G.
1994
Well-conditioned iterative schemes for mixed finite-element models of porous- media flows. Zbl 0777.76047
Allen, Myron B.; Ewing, Richard E.; Lu, Peng
1992
Optimal feedback control laws using nonlinear programming. Zbl 0793.49008
Lu, P.
1991
Preconditioning indefinite systems arising from mixed finite element discretization of second-order elliptic problems. Zbl 0719.65024
Ewing, Richard E.; Lazarov, Raytcho D.; Lu, Peng; Vassilevski, Panayot S.
1990
all top 5

#### Cited by 588 Authors

 11 Cao, Huai-Dong 11 Lu, Peng 11 Ma, Li 10 Cao, Xiaodong 10 Guo, Hongxin 10 Wu, Jiayong 9 Zhu, Anqiang 8 Wang, Linfeng 7 Cheng, Liang 7 Huang, Guangyue 7 Tian, Gang 7 Zhang, Shijin 6 Catino, Giovanni 6 Chow, Bennett 6 Lott, John 6 Mantegazza, Carlo 6 Ribeiro, Ernani jun. 6 Streets, Jeffrey D. 6 Topping, Peter Miles 6 Zhang, Yongjia 5 Abolarinwa, Abimbola 5 Cabezas-Rivas, Esther 5 Deruelle, Alix 5 García-Río, Eduardo 5 Ho, Pak Tung 5 Lee, Man-Chun 5 Li, Xiang-Dong 5 Munteanu, Ovidiu 5 Sharma, Ramesh 5 Wang, Jiaping 5 Wang, Yuzhao 5 Wylie, William C. 5 Zhang, Qi-Shuhuason 5 Zheng, Yu 5 Zhu, Meng 4 Bahuaud, Eric 4 Baltazar, Halyson I. 4 Carfora, Mauro 4 Chen, Chih-Wei 4 Chen, Xiuxiong 4 Fernández-López, Manuel 4 Kotschwar, Brett L. 4 Mazzieri, Lorenzo 4 Ni, Lei 4 Philipowski, Robert 4 Pulemotov, Artem 4 Sinestrari, Carlo 4 Stepanov, Sergeĭ Evgen’evich 4 Tam, Luen-Fai 4 Wang, Bing 4 Wang, Wen 4 Wu, Guoqiang 4 Yau, Shing-Tung 3 Bailesteanu, Mihai 3 Barros, Abdênago A. 3 Brendle, Simon 3 Chugay, Andrey M. 3 Crâşmăreanu, Mircea 3 Deng, Yuxing 3 Fritz, Hans 3 Gianniotis, Panagiotis 3 Glickenstein, David 3 Gomes, José Nazareno Vieira 3 Guenther, Christine M. 3 Gursky, Matthew J. 3 He, Fei 3 Hou, Songbo 3 Hsu, Shu-Yu 3 Kröncke, Klaus 3 Li, Songzi 3 Li, Xiaolong 3 Li, Yu 3 Liu, Genqian 3 Luo, Feng 3 Ma, Bingqing 3 Naff, Richard L. 3 Petersen, Peter V 3 Rong, Xiaochun 3 Sesum, Natasa 3 Shaikh, Absos Ali 3 Shi, Yuguang 3 Simon, Miles 3 Thalmaier, Anton 3 Wilking, Burkhard 3 Xu, Guoyi 3 Zeng, Fanqi 3 Zhang, Yuguang 3 Zhang, Zhou 3 Zhu, Xiaohua 2 Allen, Myron Bartlett III 2 Alsing, Paul M. 2 Aquino, Cicero Pedro 2 Bagewadi, Channabasappa Shantappa 2 Bamler, Richard H. 2 Baudoin, Fabrice 2 Besson, Gérard 2 Bohm, Christoph 2 Calamai, Simone 2 Chang, Shu-Cheng 2 Chau, Albert ...and 488 more Authors
all top 5

#### Cited in 159 Serials

 43 The Journal of Geometric Analysis 36 Proceedings of the American Mathematical Society 25 Calculus of Variations and Partial Differential Equations 18 Annals of Global Analysis and Geometry 18 Differential Geometry and its Applications 17 Advances in Mathematics 17 Journal of Functional Analysis 16 Journal of Geometry and Physics 16 Transactions of the American Mathematical Society 14 Mathematische Annalen 13 Journal of Mathematical Analysis and Applications 12 Mathematische Zeitschrift 12 Geometry & Topology 9 Acta Mathematica Sinica. English Series 8 Journal of Differential Equations 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Journal of the European Mathematical Society (JEMS) 7 Results in Mathematics 7 Communications in Partial Differential Equations 7 Science China. Mathematics 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Communications in Mathematical Physics 5 Geometriae Dedicata 5 Inventiones Mathematicae 5 Journal of Geometry 5 Geometric and Functional Analysis. GAFA 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Mathematical Physics 4 International Journal of Geometric Methods in Modern Physics 4 Frontiers of Mathematics in China 3 Archive for Rational Mechanics and Analysis 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Archiv der Mathematik 3 Duke Mathematical Journal 3 Journal für die Reine und Angewandte Mathematik 3 Manuscripta Mathematica 3 Monatshefte für Mathematik 3 Osaka Journal of Mathematics 3 Pacific Journal of Mathematics 3 Chinese Annals of Mathematics. Series B 3 Stochastic Processes and their Applications 3 Cybernetics and Systems Analysis 3 Communications in Contemporary Mathematics 3 Annales Henri Poincaré 3 Communications on Pure and Applied Analysis 3 Mediterranean Journal of Mathematics 2 Journal of Computational Physics 2 Letters in Mathematical Physics 2 Mathematical Notes 2 Rocky Mountain Journal of Mathematics 2 Applied Mathematics and Computation 2 Automatica 2 Compositio Mathematica 2 International Journal for Numerical Methods in Engineering 2 Journal of Differential Geometry 2 Journal of the Korean Mathematical Society 2 Numerische Mathematik 2 Bulletin of the Iranian Mathematical Society 2 Numerical Methods for Partial Differential Equations 2 Journal of the American Mathematical Society 2 International Journal of Mathematics 2 Annals of Physics 2 Applied Mathematics. Series B (English Edition) 2 Discrete and Continuous Dynamical Systems 2 Annals of Mathematics. Second Series 2 Journal of Evolution Equations 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Milan Journal of Mathematics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 International Electronic Journal of Geometry 2 Afrika Matematika 2 Communications in Mathematics and Statistics 1 American Mathematical Monthly 1 Bulletin of the Australian Mathematical Society 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 General Relativity and Gravitation 1 Indian Journal of Pure & Applied Mathematics 1 Journal of the Franklin Institute 1 Mathematical Methods in the Applied Sciences 1 Nuclear Physics. B 1 Physica A 1 Physics Letters. B 1 Reports on Mathematical Physics 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Beiträge zur Algebra und Geometrie 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 Canadian Mathematical Bulletin 1 Computing 1 Czechoslovak Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Economic Theory 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Numerical Functional Analysis and Optimization ...and 59 more Serials
all top 5

#### Cited in 43 Fields

 450 Differential geometry (53-XX) 153 Partial differential equations (35-XX) 152 Global analysis, analysis on manifolds (58-XX) 34 Several complex variables and analytic spaces (32-XX) 22 Manifolds and cell complexes (57-XX) 17 Numerical analysis (65-XX) 14 Algebraic geometry (14-XX) 14 Relativity and gravitational theory (83-XX) 12 Fluid mechanics (76-XX) 11 Convex and discrete geometry (52-XX) 10 Quantum theory (81-XX) 9 Probability theory and stochastic processes (60-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Functions of a complex variable (30-XX) 6 Operator theory (47-XX) 5 Real functions (26-XX) 5 Mechanics of deformable solids (74-XX) 5 Operations research, mathematical programming (90-XX) 4 Topological groups, Lie groups (22-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Systems theory; control (93-XX) 3 Combinatorics (05-XX) 3 Potential theory (31-XX) 3 Ordinary differential equations (34-XX) 3 Functional analysis (46-XX) 3 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Geometry (51-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 2 Biology and other natural sciences (92-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 General topology (54-XX) 1 Information and communication theory, circuits (94-XX)