# zbMATH — the first resource for mathematics

## Lou, Bendong

Compute Distance To:
 Author ID: lou.bendong Published as: Lou, B.; Lou, Bendong External Links: MGP · ResearchGate · dblp
 Documents Indexed: 61 Publications since 1993
all top 5

#### Co-Authors

 27 single-authored 7 Zhou, Maolin 5 Gu, Hong 4 Cai, Jingjing 4 Du, Yihong 3 Liu, Xiaowei 3 Lu, Junfan 2 Chen, Xinfu 2 Lin, Zhigui 2 Matano, Hiroshi 2 Nakamura, Ken-Ichi 2 Yuan, Lixia 1 Giletti, Thomas 1 Li, Fang 1 Li, Fang 1 Li, Qi 1 Lou, Benqing 1 Peng, Rui 1 Song, Guangxing 1 Sun, Jingxian 1 Sun, Ningkui 1 Tan, Jiale 1 Wang, Cheng 1 Yang, Jian 1 Zhang, Zhitao 1 Zhou, Lingjun
all top 5

#### Serials

 7 Journal of Differential Equations 3 Journal of Statistical Physics 3 Proceedings of the American Mathematical Society 3 Applied Mathematics Letters 3 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Mathematical Analysis and Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Advances in Mathematics 2 SIAM Journal on Mathematical Analysis 2 Discrete and Continuous Dynamical Systems 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Networks and Heterogeneous Media 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Biology 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Applied Mathematics and Computation 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Functional Analysis 1 Tohoku Mathematical Journal. Second Series 1 Journal of Mathematical Research & Exposition 1 Journal of Shandong University. Natural Science Edition 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Integral Equations and Applications 1 Japan Journal of Industrial and Applied Mathematics 1 Communications in Partial Differential Equations 1 Journal of Dynamics and Differential Equations 1 Calculus of Variations and Partial Differential Equations 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of the European Mathematical Society (JEMS) 1 Nonlinear Analysis. Real World Applications 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Mathematical Modelling of Natural Phenomena 1 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Elliptic and Parabolic Equations
all top 5

#### Fields

 46 Partial differential equations (35-XX) 9 Ordinary differential equations (34-XX) 8 Differential geometry (53-XX) 5 Operator theory (47-XX) 5 Biology and other natural sciences (92-XX) 4 Integral equations (45-XX) 3 Global analysis, analysis on manifolds (58-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

33 Publications have been cited 382 times in 192 Documents Cited by Year
Spreading and vanishing in nonlinear diffusion problems with free boundaries. Zbl 1331.35399
Du, Yihong; Lou, Bendong
2015
Long time behavior of solutions of Fisher-KPP equation with advection and free boundaries. Zbl 1335.35102
Gu, Hong; Lou, Bendong; Zhou, Maolin
2015
Nonlinear diffusion problems with free boundaries: convergence, transition speed, and zero number arguments. Zbl 1321.35086
Du, Yihong; Lou, Bendong; Zhou, Maolin
2015
Different asymptotic spreading speeds induced by advection in a diffusion problem with free boundaries. Zbl 1310.35062
Gu, Hong; Lin, Zhigui; Lou, Bendong
2015
Long time behavior of solutions of a diffusion-advection logistic model with free boundaries. Zbl 1320.35069
Gu, Hong; Lin, Zhigui; Lou, Bendong
2014
On a reaction-diffusion equation with Robin and free boundary conditions. Zbl 1326.35176
Liu, Xiaowei; Lou, Bendong
2015
Asymptotic behavior of solutions of a reaction diffusion equation with free boundary conditions. Zbl 1328.35329
Cai, Jingjing; Lou, Bendong; Zhou, Maolin
2014
Asymptotic behavior of solutions to diffusion problems with Robin and free boundary conditions. Zbl 1282.35071
Liu, Xiaowei; Lou, Bendong
2013
Periodic traveling waves in a two-dimensional cylinder with saw-toothed boundary and their homogenization limit. Zbl 1114.35012
Matano, Hiroshi; Nakamura, Ken-Ichi; Lou, Bendong
2006
Fixed points for operators in a space of continuous functions and applications. Zbl 0918.47046
Lou, Bendong
1999
Fisher-KPP equation with free boundaries and time-periodic advections. Zbl 1386.35151
Sun, Ningkui; Lou, Bendong; Zhou, Maolin
2017
Spreading in advective environment modeled by a reaction diffusion equation with free boundaries. Zbl 1335.35119
Gu, Hong; Lou, Bendong
2016
Traveling waves of a curvature flow in almost periodic media. Zbl 1182.35073
Lou, Bendong; Chen, Xinfu
2009
Long time behavior of solutions of a reaction-diffusion equation on unbounded intervals with Robin boundary conditions. Zbl 1332.35168
Chen, Xinfu; Lou, Bendong; Zhou, Maolin; Giletti, Thomas
2016
Convergence in time-periodic quasilinear parabolic equations in one space dimension. Zbl 1401.35168
Lou, Bendong
2018
The Fisher-KPP equation over simple graphs: varied persistence states in river networks. Zbl 1431.35074
Du, Yihong; Lou, Bendong; Peng, Rui; Zhou, Maolin
2020
Spreading and vanishing for nonlinear Stefan problems in high space dimensions. Zbl 1386.35022
Du, Yihong; Lou, Bendong; Zhou, Maolin
2016
Traveling wave solutions of competitive models with free boundaries. Zbl 1292.35075
Yang, Jian; Lou, Bendong
2014
Singular limit of a $$p$$-Laplacian reaction-diffusion equation with a spatially inhomogeneous reaction term. Zbl 1022.35021
Lou, Bendong
2003
Recurrent traveling waves in a two-dimensional saw-toothed cylinder and their average speed. Zbl 1320.35140
Lou, Bendong; Matano, Hiroshi; Nakamura, Ken-Ichi
2013
Solutions of superlinear Sturm-Liouville problems in Banach spaces. Zbl 0855.34074
Lou, Bendong
1996
Convergence in a quasilinear parabolic equation with time almost periodic boundary conditions. Zbl 1253.35010
Cai, Jingjing; Lou, Bendong
2012
Periodic traveling waves of a mean curvature equation in high dimensional cylinders. Zbl 1225.35137
Cai, Jingjing; Lou, Bendong
2011
Periodic traveling waves of a mean curvature flow in heterogeneous media. Zbl 1179.35091
Lou, Bendong
2009
Positive solutions for nonlinear elastic beam models. Zbl 1008.34015
Lou, Bendong
2001
Eigenvalues and eigenvectors of nonlinear operators and applications. Zbl 0893.47039
Sun, Jingxian; Lou, Bendong
1997
Expression of time almost periodic traveling wave solutions to a class of competition diffusion systems. Zbl 1391.35219
Li, Fang; Lou, Bendong
2018
Expanding speed of the habitat for a species in an advective environment. Zbl 1366.35007
Lu, Junfan; Gu, Hong; Lou, Bendong
2017
Influence of obstacles on the propagation speeds of nonlinear waves driven by curvature. Zbl 1400.92154
Wang, Cheng; Tan, Jiale; Lou, Bendong
2015
Convergence in a quasilinear parabolic equation with Neumann boundary conditions. Zbl 1225.35126
Cai, Jingjing; Lou, Bendong
2011
Traveling wave solutions of a generalized curvature flow equation in the plane. Zbl 1163.35414
Lou, Bendong
2007
Periodic travelling wave solutions of a curvature flow equation in the plane. Zbl 1138.35035
Lou, Bendong
2007
Singular limits of spatially inhomogeneous convection-reaction-diffusion equations. Zbl 1131.82027
Lou, Bendong
2007
The Fisher-KPP equation over simple graphs: varied persistence states in river networks. Zbl 1431.35074
Du, Yihong; Lou, Bendong; Peng, Rui; Zhou, Maolin
2020
Convergence in time-periodic quasilinear parabolic equations in one space dimension. Zbl 1401.35168
Lou, Bendong
2018
Expression of time almost periodic traveling wave solutions to a class of competition diffusion systems. Zbl 1391.35219
Li, Fang; Lou, Bendong
2018
Fisher-KPP equation with free boundaries and time-periodic advections. Zbl 1386.35151
Sun, Ningkui; Lou, Bendong; Zhou, Maolin
2017
Expanding speed of the habitat for a species in an advective environment. Zbl 1366.35007
Lu, Junfan; Gu, Hong; Lou, Bendong
2017
Spreading in advective environment modeled by a reaction diffusion equation with free boundaries. Zbl 1335.35119
Gu, Hong; Lou, Bendong
2016
Long time behavior of solutions of a reaction-diffusion equation on unbounded intervals with Robin boundary conditions. Zbl 1332.35168
Chen, Xinfu; Lou, Bendong; Zhou, Maolin; Giletti, Thomas
2016
Spreading and vanishing for nonlinear Stefan problems in high space dimensions. Zbl 1386.35022
Du, Yihong; Lou, Bendong; Zhou, Maolin
2016
Spreading and vanishing in nonlinear diffusion problems with free boundaries. Zbl 1331.35399
Du, Yihong; Lou, Bendong
2015
Long time behavior of solutions of Fisher-KPP equation with advection and free boundaries. Zbl 1335.35102
Gu, Hong; Lou, Bendong; Zhou, Maolin
2015
Nonlinear diffusion problems with free boundaries: convergence, transition speed, and zero number arguments. Zbl 1321.35086
Du, Yihong; Lou, Bendong; Zhou, Maolin
2015
Different asymptotic spreading speeds induced by advection in a diffusion problem with free boundaries. Zbl 1310.35062
Gu, Hong; Lin, Zhigui; Lou, Bendong
2015
On a reaction-diffusion equation with Robin and free boundary conditions. Zbl 1326.35176
Liu, Xiaowei; Lou, Bendong
2015
Influence of obstacles on the propagation speeds of nonlinear waves driven by curvature. Zbl 1400.92154
Wang, Cheng; Tan, Jiale; Lou, Bendong
2015
Long time behavior of solutions of a diffusion-advection logistic model with free boundaries. Zbl 1320.35069
Gu, Hong; Lin, Zhigui; Lou, Bendong
2014
Asymptotic behavior of solutions of a reaction diffusion equation with free boundary conditions. Zbl 1328.35329
Cai, Jingjing; Lou, Bendong; Zhou, Maolin
2014
Traveling wave solutions of competitive models with free boundaries. Zbl 1292.35075
Yang, Jian; Lou, Bendong
2014
Asymptotic behavior of solutions to diffusion problems with Robin and free boundary conditions. Zbl 1282.35071
Liu, Xiaowei; Lou, Bendong
2013
Recurrent traveling waves in a two-dimensional saw-toothed cylinder and their average speed. Zbl 1320.35140
Lou, Bendong; Matano, Hiroshi; Nakamura, Ken-Ichi
2013
Convergence in a quasilinear parabolic equation with time almost periodic boundary conditions. Zbl 1253.35010
Cai, Jingjing; Lou, Bendong
2012
Periodic traveling waves of a mean curvature equation in high dimensional cylinders. Zbl 1225.35137
Cai, Jingjing; Lou, Bendong
2011
Convergence in a quasilinear parabolic equation with Neumann boundary conditions. Zbl 1225.35126
Cai, Jingjing; Lou, Bendong
2011
Traveling waves of a curvature flow in almost periodic media. Zbl 1182.35073
Lou, Bendong; Chen, Xinfu
2009
Periodic traveling waves of a mean curvature flow in heterogeneous media. Zbl 1179.35091
Lou, Bendong
2009
Traveling wave solutions of a generalized curvature flow equation in the plane. Zbl 1163.35414
Lou, Bendong
2007
Periodic travelling wave solutions of a curvature flow equation in the plane. Zbl 1138.35035
Lou, Bendong
2007
Singular limits of spatially inhomogeneous convection-reaction-diffusion equations. Zbl 1131.82027
Lou, Bendong
2007
Periodic traveling waves in a two-dimensional cylinder with saw-toothed boundary and their homogenization limit. Zbl 1114.35012
Matano, Hiroshi; Nakamura, Ken-Ichi; Lou, Bendong
2006
Singular limit of a $$p$$-Laplacian reaction-diffusion equation with a spatially inhomogeneous reaction term. Zbl 1022.35021
Lou, Bendong
2003
Positive solutions for nonlinear elastic beam models. Zbl 1008.34015
Lou, Bendong
2001
Fixed points for operators in a space of continuous functions and applications. Zbl 0918.47046
Lou, Bendong
1999
Eigenvalues and eigenvectors of nonlinear operators and applications. Zbl 0893.47039
Sun, Jingxian; Lou, Bendong
1997
Solutions of superlinear Sturm-Liouville problems in Banach spaces. Zbl 0855.34074
Lou, Bendong
1996
all top 5

#### Cited by 212 Authors

 27 Lou, Bendong 21 Du, Yihong 15 Wang, Mingxin 14 Lin, Zhigui 13 Zhou, Maolin 9 Cai, Jingjing 8 Li, Wan-Tong 8 Sun, Ningkui 7 Cao, Jia-Feng 7 Gu, Hong 7 Wu, Changhong 6 Kaneko, Yuki 6 Liu, Zuhan 6 Matsuzawa, Hiroshi 6 Peng, Rui 6 Zhao, Meng 6 Zhou, Ling 5 Lei, Chengxia 5 Liang, Xing 4 Ding, Weiwei 4 Liu, Xiaowei 4 Yamada, Yoshio 4 Yang, Jian 4 Zhang, Yang 3 Alzabut, Jehad O. 3 Lu, Junfan 3 Simpson, Matthew J. 3 Tarboush, Abdelrazig K. 3 Wei, Lei 3 Yuan, Lixia 3 Zhang, Jin 3 Zhang, Shan 3 Zhao, Jingfu 3 Zhu, Huaiping 2 Ahn, Inkyung 2 Caffarelli, Luis Ángel 2 Cesaroni, Annalisa 2 Chai, Yuan 2 Duan, Bo 2 El-Hachem, Maud 2 Ge, Jing 2 Guo, Zongming 2 Li, Fang 2 Li, Qi 2 Liu, Lili 2 Liu, Lishan 2 Liu, Yicheng 2 Matano, Hiroshi 2 McCue, Scott William 2 Merdivenci Atici, Ferhan 2 Nie, Hua 2 Novaga, Matteo 2 Sermutlu, Emre 2 Shen, Wenxian 2 Stamov, Gani Trendafilov 2 Tian, Canrong 2 Wang, Jie 2 Wang, Jie 2 Wang, Kelei 2 Wu, Jun 2 Wu, Yonghong 2 Zhang, MengYun 2 Zhang, Xinguang 2 Zhang, Zhengce 2 Zhao, Yaling 2 Zhao, Yonggang 2 Zhu, Min 1 Adam, Badradeen 1 Ahmad, Bashir 1 Apreutesei, Narcisa C. 1 Baek, Seunghyeon 1 Bao, Wendi 1 Berestycki, Henri 1 Bouhours, Juliette 1 Ceretani, Andrea N. 1 Chapuisat, Guillemette 1 Chen, Lifeng 1 Chen, Qiaoling 1 Chen, Xinfu 1 Cheng, Chengcheng 1 Choi, Wonhyung 1 Coville, Jerome 1 Dai, Binxiang 1 Dávila, Juan 1 De Pascale, Espedito 1 De Pascale, Luigi 1 Dirr, Nicolas Peter 1 Dong, Wei 1 Dong, Zhao 1 Du, Kai 1 Ducrot, Arnaud 1 Enatsu, Yoichi 1 Endo, Maho 1 Fang, Jian 1 Feng, Meiqiang 1 Gan, Wenzhen 1 Giletti, Thomas 1 Gray, W. Steven 1 Gui, Changfeng 1 Guo, Jong-Shenq ...and 112 more Authors
all top 5

#### Cited in 55 Serials

 27 Journal of Differential Equations 17 Journal of Mathematical Analysis and Applications 15 Nonlinear Analysis. Real World Applications 12 Discrete and Continuous Dynamical Systems. Series B 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Applied Mathematics Letters 6 Journal of Dynamics and Differential Equations 6 Calculus of Variations and Partial Differential Equations 5 Journal of Mathematical Biology 5 Journal of Functional Analysis 4 Applicable Analysis 4 Bulletin of the Australian Mathematical Society 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Discrete and Continuous Dynamical Systems 3 Archive for Rational Mechanics and Analysis 3 Proceedings of the American Mathematical Society 3 Acta Applicandae Mathematicae 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Mathematical and Computer Modelling 3 Boundary Value Problems 3 International Journal of Biomathematics 2 Journal of Statistical Physics 2 Mathematical Methods in the Applied Sciences 2 Nonlinearity 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Bulletin of Mathematical Biology 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Journal of Applied Mathematics 2 Communications on Pure and Applied Analysis 2 Advances in Difference Equations 2 Science China. Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Journal of the Mathematical Society of Japan 1 Chinese Annals of Mathematics. Series B 1 Journal of Integral Equations and Applications 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 Abstract and Applied Analysis 1 The ANZIAM Journal 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Mathematical Biosciences and Engineering 1 Mathematical Modelling of Natural Phenomena 1 Banach Journal of Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Differential Equations 1 Journal de l’École Polytechnique – Mathématiques 1 Journal of Elliptic and Parabolic Equations 1 SN Partial Differential Equations and Applications
all top 5

#### Cited in 17 Fields

 167 Partial differential equations (35-XX) 88 Biology and other natural sciences (92-XX) 19 Ordinary differential equations (34-XX) 13 Operator theory (47-XX) 8 Integral equations (45-XX) 6 Differential geometry (53-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Mechanics of deformable solids (74-XX) 3 Difference and functional equations (39-XX) 3 Fluid mechanics (76-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Numerical analysis (65-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX)