## Guo, Jong-Shenq

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 Author ID: guo.jong-shenq Published as: Guo, Jong-Shenq; Guo, J. S. External Links: ORCID
 Documents Indexed: 137 Publications since 1990 Reviewing Activity: 2 Reviews Co-Authors: 58 Co-Authors with 118 Joint Publications 1,271 Co-Co-Authors
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### Co-Authors

 18 single-authored 15 Wu, Chin-Chin 12 Wu, Changhong 11 Chen, Xinfu 11 Shimojō, Masahiko 11 Tsai, Je-Chiang 10 Hu, Bei 8 Ninomiya, Hirokazu 6 Fu, Sheng-Chen 6 Guo, Yungjen Lin 5 Chen, Yanyu 5 Ducrot, Arnaud 5 Yao, Jen-Chih 4 Hamel, François 4 Nakamura, Ken-Ichi 4 Ogiwara, Toshiko 4 Souplet, Philippe 4 Wang, Chi-Jen 3 Chen, Yushuo 3 Giletti, Thomas 3 Ling, Chia-Tung 2 Fiedler, Bernold 2 Fila, Marek 2 Huang, Bo-Chih 2 Liang, Xing 2 Lin, Chang-Shou 2 Lin, Wen-Wei 2 Lin, Ying-Chih 2 Lo, Chu-Pin 2 Matano, Hiroshi 2 Morita, Yoshihisa 2 Wang, Chern-Shuh 2 Yao, Chih-Hong 1 Chang, Ya-Ling 1 Chen, Go-Jien 1 Chern, Huahuai 1 Choi, Wonhyung 1 Ei, Shin-Ichiro 1 Filippas, Stathis 1 Hwang, Tsung-Min 1 Ishii, Hiroshi 1 Ishimura, Naoyuki 1 Kavallaris, Nikos I. 1 Kohsaka, Yoshihito 1 Kung, Yin-Min 1 Lee, Cheng-Chang 1 Lin, Guo 1 Lin, Ying-Chin 1 Pan, Shuxia 1 Poh, Amy Ai Ling 1 Roquejoffre, Jean-Michel 1 Sasayama, Satoshi 1 Shieh, Shang-Yau 1 Su, Hsuan-Wen 1 Sun, I-Man 1 Wakasa, Tohru 1 Yanagida, Eiji 1 Yotsutani, Shoji 1 Yu, Cherng-Yih
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### Serials

 12 Journal of Differential Equations 9 Journal of Mathematical Analysis and Applications 6 Nonlinearity 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Quarterly of Applied Mathematics 6 Discrete and Continuous Dynamical Systems 6 Nonlinear Analysis. Theory, Methods & Applications 5 Tohoku Mathematical Journal. Second Series 5 Physica D 5 Journal of Dynamics and Differential Equations 4 Mathematische Annalen 4 Applied Mathematics Letters 4 Taiwanese Journal of Mathematics 4 Discrete and Continuous Dynamical Systems. Series B 4 Communications on Pure and Applied Analysis 3 Archive for Rational Mechanics and Analysis 3 Japan Journal of Industrial and Applied Mathematics 3 Differential and Integral Equations 3 Bulletin of the Institute of Mathematics. Academia Sinica 2 Osaka Journal of Mathematics 2 Tamkang Journal of Mathematics 2 Asymptotic Analysis 2 Dynamic Systems and Applications 2 Linear Algebra and its Applications 2 SIAM Journal on Mathematical Analysis 2 The ANZIAM Journal 2 Nonlinear Analysis. Real World Applications 2 Journal of Evolution Equations 1 Computers & Mathematics with Applications 1 Journal of Mathematical Biology 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Optimization Theory and Applications 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Mathematical and Computer Modelling 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Methods and Applications of Analysis 1 RIMS Kokyuroku 1 Journal of Nonlinear and Convex Analysis 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 RIMS Kôkyûroku Bessatsu
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### Fields

 106 Partial differential equations (35-XX) 41 Ordinary differential equations (34-XX) 27 Biology and other natural sciences (92-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Difference and functional equations (39-XX) 5 Mechanics of deformable solids (74-XX) 4 Operator theory (47-XX) 3 Differential geometry (53-XX) 2 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 2 Systems theory; control (93-XX) 1 Group theory and generalizations (20-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

115 Publications have been cited 1,762 times in 953 Documents Cited by Year
Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations. Zbl 1010.39004
Chen, Xinfu; Guo, Jong-Shenq
2002
Uniqueness and existence of traveling waves for discrete quasilinear monostable dynamics. Zbl 1086.34011
Chen, Xinfu; Guo, Jong-Shenq
2003
On a free boundary problem for a two-species weak competition system. Zbl 1263.35132
Guo, Jong-Shenq; Wu, Chang-Hong
2012
Entire solutions of reaction-diffusion equations and an application to discrete diffusive equations. Zbl 1065.35130
Guo, Jong-Shenq; Morita, Yoshihisa
2005
Existence and uniqueness of entire solutions for a reaction-diffusion equation. Zbl 1079.35046
Chen, Xinfu; Guo, Jong-Shenq
2005
Uniqueness and asymptotics of traveling waves of monostable dynamics on lattices. Zbl 1117.34060
Chen, Xinfu; Fu, Sheng-Chen; Guo, Jong-Shenq
2006
Traveling wave front for a two-component lattice dynamical system arising in competition models. Zbl 1251.34018
Guo, Jong-Shenq; Wu, Chang-Hong
2012
Dynamics for a two-species competition-diffusion model with two free boundaries. Zbl 1316.92066
Guo, Jong-Shenq; Wu, Chang-Hong
2015
Traveling waves in discrete periodic media for bistable dynamics. Zbl 1152.37033
Chen, Xinfu; Guo, Jong-Shenq; Wu, Chin-Chin
2008
Front propagation for discrete periodic monostable equations. Zbl 1116.35063
Guo, Jong-Shenq; Hamel, François
2006
Entire solutions of reaction-diffusion equations with balanced bistable nonlinearities. Zbl 1123.35024
Chen, Xinfu; Guo, Jong-Shenq; Ninomiya, Hirokazu
2006
Traveling waves with paraboloid like interfaces for balanced bistable dynamics. Zbl 1132.35396
Chen, Xinfu; Guo, Jong-Shenq; Hamel, François; Ninomiya, Hirokazu; Roquejoffre, Jean-Michel
2007
On the quenching behavior of the solution of a semilinear parabolic equation. Zbl 0721.35010
Guo, Jong-Shenq
1990
The minimal speed of traveling fronts for the Lotka-Volterra competition system. Zbl 1222.35053
Guo, Jong-Shenq; Liang, Xing
2011
Wave propagation for a two-component lattice dynamical system arising in strong competition models. Zbl 1241.34017
Guo, Jong-Shenq; Wu, Chang-Hong
2011
Variational and generalized variational inequalities with discontinuous mappings. Zbl 0809.49005
Yao, Jen-Chih; Guo, Jong-Shenq
1994
Traveling wave solutions for a continuous and discrete diffusive predator-prey model. Zbl 1347.92061
Chen, Yan-Yu; Guo, Jong-Shenq; Yao, Chih-Hong
2017
Entire solutions for a two-component competition system in a lattice. Zbl 1202.34023
Guo, Jong-Shenq; Wu, Chang-Hong
2010
Variational inequalities with nonmonotone operators. Zbl 0798.49013
Guo, J. S.; Yao, J. C.
1994
On a fast diffusion equation with source. Zbl 0995.35035
Guo, Jong-Shenq; Guo, Yung-Jen L.
2001
Traveling waves for a lattice dynamical system arising in a diffusive endemic model. Zbl 1373.34022
Chen, Yan-Yu; Guo, Jong-Shenq; Hamel, François
2017
A nonlocal quenching problem arising in a micro-electro mechanical system. Zbl 1189.35328
Guo, Jong-Shenq; Hu, Bei; Wang, Chi-Jen
2009
Recent developments on wave propagation in 2-species competition systems. Zbl 1266.34128
Guo, Jong-Shenq; Wu, Chang-Hong
2012
Quenching profiles for one-dimensional semilinear heat equations. Zbl 0796.35072
Filippas, Stathis; Guo, Jong-Shenq
1993
Existence and uniqueness of traveling waves for a monostable 2-D lattice dynamical system. Zbl 1155.34016
Guo, Jong-Shenq; Wu, Chang-Hong
2008
Uniqueness and stability of traveling waves for periodic monostable lattice dynamical system. Zbl 1202.34024
Guo, Jong-Shenq; Wu, Chin-Chin
2009
Fast rate of formation of dead-core for the heat equation with strong absorption and applications to fast blow-up. Zbl 1063.35087
Guo, Jong-Shenq; Souplet, Philippe
2005
The minimal speed of traveling wave solutions for a diffusive three species competition system. Zbl 1357.92062
Guo, Jong-Shenq; Wang, Yi; Wu, Chang-Hong; Wu, Chin-Chin
2015
Traveling wave solutions for a discrete diffusive epidemic model. Zbl 1353.39005
Fu, Sheng-Chen; Guo, Jong-Shenq; Wu, Chin-Chin
2016
Extension of strongly nonlinear quasivariational inequalities. Zbl 0778.49009
Guo, Jong-Shenq; Yao, Jen-Chih
1992
On a nonlocal parabolic problem arising in electrostatic MEMS control. Zbl 1243.35009
Guo, Jong-Shenq; Kavallaris, Nikos I.
2012
On the quenching rate estimate. Zbl 0798.35080
Guo, Jong-Shenq
1991
Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity. Zbl 1277.35070
Guo, Jong-Shenq; Ninomiya, Hirokazu; Shimojo, Masahiko; Yanagida, Eiji
2013
The existence of traveling wave solutions for a bistable three-component lattice dynamical system. Zbl 1410.34042
Guo, Jong-Shenq; Wu, Chin-Chin
2016
No touchdown at zero points of the permittivity profile for the MEMS problem. Zbl 1332.35160
Guo, Jong-Shenq; Souplet, Philippe
2015
Blow-up behavior for a parabolic equation with spatially dependent coefficient. Zbl 1218.35047
Guo, Jong-Shenq; Lin, Chang-Shou; Shimojo, Masahiko
2010
Blowing up at zero points of potential for an initial boundary value problem. Zbl 1229.35110
Guo, Jong-Shenq; Shimojo, Masahiko
2011
The sign of the wave speed for the Lotka-Volterra competition-diffusion system. Zbl 1267.35064
Guo, Jong-Shenq; Lin, Ying-Chih
2013
Complete blow-up and incomplete quenching for the heat equation with a nonlinear boundary condition. Zbl 0994.35066
Fila, Marek; Guo, Jong-Shenq
2002
Boundedness of global solutions of a supercritical parabolic equation. Zbl 1128.35057
Chen, Xinfu; Fila, Marek; Guo, Jong-Shenq
2008
On a two-point free boundary problem for a quasilinear parabolic equation. Zbl 1054.35143
Chang, Ya-Ling; Guo, Jong-Shenq; Kohsaka, Yoshihito
2003
The profile near quenching time for the solution of a singular semilinear heat equation. Zbl 0903.35007
Guo, Jong-Shenq; Hu, Bei
1997
Numerical solutions for large sparse quadratic eigenvalue problems. Zbl 0839.65046
Guo, Jong-Shenq; Lin, Wen-Wei; Wang, Chern-Shuh
1995
Blowup rate for heat equation in Lipschitz domains with nonlinear heat source terms on the boundary. Zbl 1006.35054
Guo, Jong-Shenq; Hu, Bei
2002
Blow-up for a reaction-diffusion equation with variable coefficient. Zbl 1254.35029
Guo, Jong-Shenq; Lin, Chang-Shou; Shimojo, Masahiko
2013
Finite time dead-core rate for the heat equation with a strong absorption. Zbl 1157.35059
Guo, Jong-Shenq; Wu, Chin-Chin
2007
Nonequivalence deflation for the solution of matrix latent value problems. Zbl 0841.65024
Guo, Jong-Shenq; Lin, Wen-Wei; Wang, Chern-Shuh
1995
Entire solutions originating from monotone fronts to the Allen-Cahn equation. Zbl 1404.35251
Chen, Yan-Yu; Guo, Jong-Shenq; Ninomiya, Hirokazu; Yao, Chih-Hong
2018
Blow-up for a semilinear reaction-diffusion system coupled in both equations and boundary conditions. Zbl 1106.35309
Fu, Sheng-Chen; Guo, Jong-Shenq
2002
Motion by curvature of planar curves with end points moving freely on a line. Zbl 1232.53054
Chen, Xinfu; Guo, Jong-Shenq
2011
On a two-point free boundary problem. Zbl 1129.35084
Guo, Jong-Shenq; Hu, Bei
2006
The blow-up behavior of the solution of an integrodifferential equation. Zbl 0798.35021
Guo, Jong-Shenq; Su, Hsuan-Wen
1992
Multiplicity of rotating spirals under curvature flows with normal tip motion. Zbl 1063.34001
Fiedler, Bernold; Guo, Jong-Shenq; Tsai, Je-Chiang
2004
Traveling wave solutions for some discrete quasilinear parabolic equations. Zbl 1092.34012
Fu, Sheng-Chen; Guo, Jong-Shenq; Shieh, Shang-Yau
2002
Traveling wave solutions for a predator-prey system with two predators and one prey. Zbl 1437.34052
Guo, Jong-Shenq; Nakamura, Ken-Ichi; Ogiwara, Toshiko; Wu, Chin-Chin
2020
Excluding blowup at zero points of the potential by means of Liouville-type theorems. Zbl 1394.35229
Guo, Jong-Shenq; Souplet, Philippe
2018
The structure of solutions for a third order differential equation in boundary layer theory. Zbl 1095.34006
Guo, Jong-Shenq; Tsai, Je-Chiang
2005
Traveling wave solution for a lattice dynamical system with convolution type nonlinearity. Zbl 1245.34079
Guo, Jong-Shenq; Lin, Ying-Chih
2012
An application of braid group theory to the finite time dead-core rate. Zbl 1239.35085
Guo, Jong-Shenq; Matano, Hiroshi; Wu, Chin-Chin
2010
Traveling waves of two-component reaction-diffusion systems arising from higher order autocatalytic models. Zbl 1362.34072
Guo, Jong-Shenq; Tsai, Je-Chiang
2009
The spreading speed and the minimal wave speed of a predator-prey system with nonlocal dispersal. Zbl 1422.35115
Ducrot, Arnaud; Guo, Jong-Shenq; Lin, Guo; Pan, Shuxia
2019
On a free boundary problem for the curvature flow with driving force. Zbl 1336.35371
Guo, Jong-Shenq; Matano, Hiroshi; Shimojo, Masahiko; Wu, Chang-Hong
2016
Self-similar solutions of a 2-D multiple-phase curvature flow. Zbl 1113.74010
Chen, Xinfu; Guo, Jong-Shenq
2007
Asymptotic behavior of solutions to a class of diffusive predator-prey systems. Zbl 1394.35221
Ducrot, Arnaud; Guo, Jong-Shenq
2018
Quenching behaviour for a singular predator-prey model. Zbl 1252.35169
Ducrot, Arnaud; Guo, Jong-Shenq
2012
On the steadily rotating spirals. Zbl 1103.34035
Guo, Jong-Shenq; Nakamura, Ken-Ichi; Ogiwara, Toshiko; Tsai, Je-Chiang
2006
Rotating spirals of curvature flows: a center manifold approach. Zbl 1223.37110
Fiedler, Bernold; Guo, Jong-Shenq; Tsai, Je-Chiang
2006
Existence and uniqueness of stabilized propagating wave segments in wave front interaction model. Zbl 1190.35050
Guo, Jong-Shenq; Ninomiya, Hirokazu; Tsai, Je-Chiang
2010
Non-self-similar dead-core rate for the fast diffusion equation with strong absorption. Zbl 1194.35059
Guo, Jong-Shenq; Ling, Chia-Tung; Souplet, Philippe
2010
Existence and uniqueness of rigidly rotating spiral waves by a wave front interaction model. Zbl 1273.34051
Chen, Yan-Yu; Guo, Jong-Shenq; Ninomiya, Hirokazu
2012
Quenching problem for a singular semilinear heat equation. Zbl 0896.35066
Guo, Jong-Shenq; Hu, Bei
1997
Hyperbolic quenching problem with damping in the micro-electro mechanical system device. Zbl 1288.35355
Guo, Jong-Shenq; Huang, Bo-Chih
2014
Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition. Zbl 1052.35101
Fu, Sheng-Chen; Guo, Jong-Shenq; Tsai, Je-Chiang
2003
The asymptotic behavior of solutions of the buffered bistable system. Zbl 1100.92016
Guo, Jong-Shenq; Tsai, Je-Chiang
2006
Front propagation for a two-dimensional periodic monostable lattice dynamical system. Zbl 1195.34118
Guo, Jong-Shenq; Wu, Chang-Hong
2010
Asymptotic spreading speeds for a predator-prey system with two predators and one prey. Zbl 1458.35106
Ducrot, Arnaud; Giletti, Thomas; Guo, Jong-Shenq; Shimojo, Masahiko
2021
On the Cauchy problem for a very fast diffusion equation. Zbl 0864.35059
Guo, Jong-Shenq
1996
Dead-core rates for the porous medium equation with a strong absorption. Zbl 1250.35128
Chen, Xinfu; Guo, Jong-Shenq; Hu, Bei
2012
Propagation and blocking in periodically hostile environments. Zbl 1263.35036
Guo, Jong-Shenq; Hamel, François
2012
Quenching profile for a quasilinear parabolic equation. Zbl 1050.35006
Guo, Jong-Shenq; Hu, Bei
2000
The self-similar expanding curve for the curvature flow equation. Zbl 1032.35084
Chern, Hua-Huai; Guo, Jong-Shenq; Lo, Chu-Pin
2003
Blowup rate estimate for a system of semilinear parabolic equations. Zbl 1173.35362
Guo, Jong-Shenq; Sasayama, Satoshi; Wang, Chi-Jen
2009
Stability and uniqueness of traveling waves for a discrete bistable 3-species competition system. Zbl 1408.34013
Guo, Jong-Shenq; Nakamura, Ken-Ichi; Ogiwara, Toshiko; Wu, Chin-Chin
2019
Blow-up behavior for a quasilinear parabolic equation with nonlinear boundary condition. Zbl 1133.35060
Guo, Jong-Shenq
2007
On a quenching problem with the Robin boundary condition. Zbl 0762.35039
Guo, Jong-Shenq
1991
Quenching problem in nonhomogeneous media. Zbl 0940.35113
Guo, Jong-Shenq
1997
Recent developments on a nonlocal problem arising in the micro-electro mechanical system. Zbl 1326.35018
Guo, Jong-Shenq
2014
Quenching behavior for the solution of a nonlocal semilinear heat equation. Zbl 0984.35012
Guo, Jong-Shenq
2000
On the steady states of a nonlocal semilinear heat equation. Zbl 0988.35087
Guo, Jong-Shenq; Hwang, Tsung-Min
2001
Existence of a rotating wave pattern in a disk for a wave front interaction model. Zbl 1273.34039
Guo, Jong-Shenq; Ninomiya, Hirokazu; Wu, Chin-Chin
2013
The critical length for a quenching problem. Zbl 0808.35060
Guo, Jong-Shenq
1992
Generalized variational inequalities for multivalued operators with contractible values. Zbl 0777.49007
Guo, Jong-Shenq; Kung, Yin-Min
1992
Large time behaviour of solutions of a fast diffusion equation with source. Zbl 0821.35067
Guo, Jong-Shenq
1994
Self-similar solutions for the kinematic model equation of spiral waves. Zbl 1067.34049
Guo, Jong-Shenq; Ishimura, Naoyuki; Wu, Chin-Chin
2004
Quenching rate for a nonlocal problem arising in the micro-electro mechanical system. Zbl 1470.35216
Guo, Jong-Shenq; Hu, Bei
2018
Entire solutions for a discrete diffusive equation with bistable convolution type nonlinearity. Zbl 1285.34006
Guo, Jong-Shenq; Lin, Ying-Chin
2013
The structure of solutions for equations related to the motions of plane curves. Zbl 1063.34002
Guo, Jong-Shenq; Lo, Chu-Pin; Tsai, Je-Chiang
2004
Entire solutions originating from traveling fronts for a two-species competition-diffusion system. Zbl 1418.35218
Guo, Jong-Shenq; Wu, Chang-Hong
2019
Critical length for a quenching problem with nonlocal singularity. Zbl 0914.35051
Chen, Go-Jien; Guo, Jong-Shenq
1998
A variational inequality associated with a lubrication problem. Zbl 0732.35033
Guo, Jong-Shenq
1991
Asymptotic spreading speeds for a predator-prey system with two predators and one prey. Zbl 1458.35106
Ducrot, Arnaud; Giletti, Thomas; Guo, Jong-Shenq; Shimojo, Masahiko
2021
Persistence of preys in a diffusive three species predator-prey system with a pair of strong-weak competing preys. Zbl 1465.35274
Chen, Yu-Shuo; Giletti, Thomas; Guo, Jong-Shenq
2021
Recent developments on a singular predator-prey model. Zbl 1466.35077
Chen, Yu-Shuo; Guo, Jong-Shenq; Shimojo, Masahiko
2021
Traveling wave solutions for a three-species predator-prey model with two aborigine preys. Zbl 1470.35111
Chen, Yu-Shuo; Guo, Jong-Shenq
2021
Traveling wave solutions for a predator-prey system with two predators and one prey. Zbl 1437.34052
Guo, Jong-Shenq; Nakamura, Ken-Ichi; Ogiwara, Toshiko; Wu, Chin-Chin
2020
The spreading speed of an SIR epidemic model with nonlocal dispersal. Zbl 1460.35352
Guo, Jong-Shenq; Poh, Amy Ai Ling; Shimojo, Masahiko
2020
Existence of traveling wave solutions to a nonlocal scalar equation with sign-changing kernel. Zbl 1441.34075
Ei, Shin-Ichiro; Guo, Jong-Shenq; Ishii, Hiroshi; Wu, Chin-Chin
2020
The spreading speed and the minimal wave speed of a predator-prey system with nonlocal dispersal. Zbl 1422.35115
Ducrot, Arnaud; Guo, Jong-Shenq; Lin, Guo; Pan, Shuxia
2019
Stability and uniqueness of traveling waves for a discrete bistable 3-species competition system. Zbl 1408.34013
Guo, Jong-Shenq; Nakamura, Ken-Ichi; Ogiwara, Toshiko; Wu, Chin-Chin
2019
Entire solutions originating from traveling fronts for a two-species competition-diffusion system. Zbl 1418.35218
Guo, Jong-Shenq; Wu, Chang-Hong
2019
Entire solutions originating from monotone fronts to the Allen-Cahn equation. Zbl 1404.35251
Chen, Yan-Yu; Guo, Jong-Shenq; Ninomiya, Hirokazu; Yao, Chih-Hong
2018
Excluding blowup at zero points of the potential by means of Liouville-type theorems. Zbl 1394.35229
Guo, Jong-Shenq; Souplet, Philippe
2018
Asymptotic behavior of solutions to a class of diffusive predator-prey systems. Zbl 1394.35221
Ducrot, Arnaud; Guo, Jong-Shenq
2018
Quenching rate for a nonlocal problem arising in the micro-electro mechanical system. Zbl 1470.35216
Guo, Jong-Shenq; Hu, Bei
2018
Behaviors of solutions for a singular prey-predator model and its shadow system. Zbl 1400.35159
Ducrot, Arnaud; Guo, Jong-Shenq; Shimojo, Masahiko
2018
Spatio-temporal oscillation for a singular predator-prey model. Zbl 06817527
Guo, Jong-Shenq; Shimojo, Masahiko
2018
Traveling wave solutions for a continuous and discrete diffusive predator-prey model. Zbl 1347.92061
Chen, Yan-Yu; Guo, Jong-Shenq; Yao, Chih-Hong
2017
Traveling waves for a lattice dynamical system arising in a diffusive endemic model. Zbl 1373.34022
Chen, Yan-Yu; Guo, Jong-Shenq; Hamel, François
2017
Traveling wave solutions for a discrete diffusive epidemic model. Zbl 1353.39005
Fu, Sheng-Chen; Guo, Jong-Shenq; Wu, Chin-Chin
2016
The existence of traveling wave solutions for a bistable three-component lattice dynamical system. Zbl 1410.34042
Guo, Jong-Shenq; Wu, Chin-Chin
2016
On a free boundary problem for the curvature flow with driving force. Zbl 1336.35371
Guo, Jong-Shenq; Matano, Hiroshi; Shimojo, Masahiko; Wu, Chang-Hong
2016
Self-similar solutions for a quenching problem with spatially dependent nonlinearity. Zbl 1416.34008
Guo, Jong-Shenq; Morita, Yoshihisa; Yotsutani, Shoji
2016
Dynamics for a two-species competition-diffusion model with two free boundaries. Zbl 1316.92066
Guo, Jong-Shenq; Wu, Chang-Hong
2015
The minimal speed of traveling wave solutions for a diffusive three species competition system. Zbl 1357.92062
Guo, Jong-Shenq; Wang, Yi; Wu, Chang-Hong; Wu, Chin-Chin
2015
No touchdown at zero points of the permittivity profile for the MEMS problem. Zbl 1332.35160
Guo, Jong-Shenq; Souplet, Philippe
2015
On the dead-core problem for the $$p$$-Laplace equation with a strong absorption. Zbl 1333.35090
Guo, Jong-Shenq; Wu, Chin-Chin
2015
Hyperbolic quenching problem with damping in the micro-electro mechanical system device. Zbl 1288.35355
Guo, Jong-Shenq; Huang, Bo-Chih
2014
Recent developments on a nonlocal problem arising in the micro-electro mechanical system. Zbl 1326.35018
Guo, Jong-Shenq
2014
Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity. Zbl 1277.35070
Guo, Jong-Shenq; Ninomiya, Hirokazu; Shimojo, Masahiko; Yanagida, Eiji
2013
The sign of the wave speed for the Lotka-Volterra competition-diffusion system. Zbl 1267.35064
Guo, Jong-Shenq; Lin, Ying-Chih
2013
Blow-up for a reaction-diffusion equation with variable coefficient. Zbl 1254.35029
Guo, Jong-Shenq; Lin, Chang-Shou; Shimojo, Masahiko
2013
Existence of a rotating wave pattern in a disk for a wave front interaction model. Zbl 1273.34039
Guo, Jong-Shenq; Ninomiya, Hirokazu; Wu, Chin-Chin
2013
Entire solutions for a discrete diffusive equation with bistable convolution type nonlinearity. Zbl 1285.34006
Guo, Jong-Shenq; Lin, Ying-Chin
2013
On the dead-core rates for a parabolic equation with strong absorption. Zbl 1291.35108
Guo, Jong-Shenq
2013
On a free boundary problem for a two-species weak competition system. Zbl 1263.35132
Guo, Jong-Shenq; Wu, Chang-Hong
2012
Traveling wave front for a two-component lattice dynamical system arising in competition models. Zbl 1251.34018
Guo, Jong-Shenq; Wu, Chang-Hong
2012
Recent developments on wave propagation in 2-species competition systems. Zbl 1266.34128
Guo, Jong-Shenq; Wu, Chang-Hong
2012
On a nonlocal parabolic problem arising in electrostatic MEMS control. Zbl 1243.35009
Guo, Jong-Shenq; Kavallaris, Nikos I.
2012
Traveling wave solution for a lattice dynamical system with convolution type nonlinearity. Zbl 1245.34079
Guo, Jong-Shenq; Lin, Ying-Chih
2012
Quenching behaviour for a singular predator-prey model. Zbl 1252.35169
Ducrot, Arnaud; Guo, Jong-Shenq
2012
Existence and uniqueness of rigidly rotating spiral waves by a wave front interaction model. Zbl 1273.34051
Chen, Yan-Yu; Guo, Jong-Shenq; Ninomiya, Hirokazu
2012
Dead-core rates for the porous medium equation with a strong absorption. Zbl 1250.35128
Chen, Xinfu; Guo, Jong-Shenq; Hu, Bei
2012
Propagation and blocking in periodically hostile environments. Zbl 1263.35036
Guo, Jong-Shenq; Hamel, François
2012
The minimal speed of traveling fronts for the Lotka-Volterra competition system. Zbl 1222.35053
Guo, Jong-Shenq; Liang, Xing
2011
Wave propagation for a two-component lattice dynamical system arising in strong competition models. Zbl 1241.34017
Guo, Jong-Shenq; Wu, Chang-Hong
2011
Blowing up at zero points of potential for an initial boundary value problem. Zbl 1229.35110
Guo, Jong-Shenq; Shimojo, Masahiko
2011
Motion by curvature of planar curves with end points moving freely on a line. Zbl 1232.53054
Chen, Xinfu; Guo, Jong-Shenq
2011
Entire solutions for a two-component competition system in a lattice. Zbl 1202.34023
Guo, Jong-Shenq; Wu, Chang-Hong
2010
Blow-up behavior for a parabolic equation with spatially dependent coefficient. Zbl 1218.35047
Guo, Jong-Shenq; Lin, Chang-Shou; Shimojo, Masahiko
2010
An application of braid group theory to the finite time dead-core rate. Zbl 1239.35085
Guo, Jong-Shenq; Matano, Hiroshi; Wu, Chin-Chin
2010
Existence and uniqueness of stabilized propagating wave segments in wave front interaction model. Zbl 1190.35050
Guo, Jong-Shenq; Ninomiya, Hirokazu; Tsai, Je-Chiang
2010
Non-self-similar dead-core rate for the fast diffusion equation with strong absorption. Zbl 1194.35059
Guo, Jong-Shenq; Ling, Chia-Tung; Souplet, Philippe
2010
Front propagation for a two-dimensional periodic monostable lattice dynamical system. Zbl 1195.34118
Guo, Jong-Shenq; Wu, Chang-Hong
2010
A nonlocal quenching problem arising in a micro-electro mechanical system. Zbl 1189.35328
Guo, Jong-Shenq; Hu, Bei; Wang, Chi-Jen
2009
Uniqueness and stability of traveling waves for periodic monostable lattice dynamical system. Zbl 1202.34024
Guo, Jong-Shenq; Wu, Chin-Chin
2009
Traveling waves of two-component reaction-diffusion systems arising from higher order autocatalytic models. Zbl 1362.34072
Guo, Jong-Shenq; Tsai, Je-Chiang
2009
Blowup rate estimate for a system of semilinear parabolic equations. Zbl 1173.35362
Guo, Jong-Shenq; Sasayama, Satoshi; Wang, Chi-Jen
2009
Dead-core at time infinity for a heat equation with strong absorption. Zbl 1182.35141
Fu, Sheng-Chen; Guo, Jong-Shenq; Wu, Chin-Chin
2009
Traveling waves in discrete periodic media for bistable dynamics. Zbl 1152.37033
Chen, Xinfu; Guo, Jong-Shenq; Wu, Chin-Chin
2008
Existence and uniqueness of traveling waves for a monostable 2-D lattice dynamical system. Zbl 1155.34016
Guo, Jong-Shenq; Wu, Chang-Hong
2008
Boundedness of global solutions of a supercritical parabolic equation. Zbl 1128.35057
Chen, Xinfu; Fila, Marek; Guo, Jong-Shenq
2008
Traveling waves with paraboloid like interfaces for balanced bistable dynamics. Zbl 1132.35396
Chen, Xinfu; Guo, Jong-Shenq; Hamel, François; Ninomiya, Hirokazu; Roquejoffre, Jean-Michel
2007
Finite time dead-core rate for the heat equation with a strong absorption. Zbl 1157.35059
Guo, Jong-Shenq; Wu, Chin-Chin
2007
Self-similar solutions of a 2-D multiple-phase curvature flow. Zbl 1113.74010
Chen, Xinfu; Guo, Jong-Shenq
2007
Blow-up behavior for a quasilinear parabolic equation with nonlinear boundary condition. Zbl 1133.35060
Guo, Jong-Shenq
2007
Uniqueness and asymptotics of traveling waves of monostable dynamics on lattices. Zbl 1117.34060
Chen, Xinfu; Fu, Sheng-Chen; Guo, Jong-Shenq
2006
Front propagation for discrete periodic monostable equations. Zbl 1116.35063
Guo, Jong-Shenq; Hamel, François
2006
Entire solutions of reaction-diffusion equations with balanced bistable nonlinearities. Zbl 1123.35024
Chen, Xinfu; Guo, Jong-Shenq; Ninomiya, Hirokazu
2006
On a two-point free boundary problem. Zbl 1129.35084
Guo, Jong-Shenq; Hu, Bei
2006
On the steadily rotating spirals. Zbl 1103.34035
Guo, Jong-Shenq; Nakamura, Ken-Ichi; Ogiwara, Toshiko; Tsai, Je-Chiang
2006
Rotating spirals of curvature flows: a center manifold approach. Zbl 1223.37110
Fiedler, Bernold; Guo, Jong-Shenq; Tsai, Je-Chiang
2006
The asymptotic behavior of solutions of the buffered bistable system. Zbl 1100.92016
Guo, Jong-Shenq; Tsai, Je-Chiang
2006
Entire solutions of reaction-diffusion equations and an application to discrete diffusive equations. Zbl 1065.35130
Guo, Jong-Shenq; Morita, Yoshihisa
2005
Existence and uniqueness of entire solutions for a reaction-diffusion equation. Zbl 1079.35046
Chen, Xinfu; Guo, Jong-Shenq
2005
Fast rate of formation of dead-core for the heat equation with strong absorption and applications to fast blow-up. Zbl 1063.35087
Guo, Jong-Shenq; Souplet, Philippe
2005
The structure of solutions for a third order differential equation in boundary layer theory. Zbl 1095.34006
Guo, Jong-Shenq; Tsai, Je-Chiang
2005
Blow up behavior for a nonlinear parabolic equation of nondivergence form. Zbl 1072.35086
Guo, Jong-Shenq; Hu, Bei
2005
Multiplicity of rotating spirals under curvature flows with normal tip motion. Zbl 1063.34001
Fiedler, Bernold; Guo, Jong-Shenq; Tsai, Je-Chiang
2004
Self-similar solutions for the kinematic model equation of spiral waves. Zbl 1067.34049
Guo, Jong-Shenq; Ishimura, Naoyuki; Wu, Chin-Chin
2004
The structure of solutions for equations related to the motions of plane curves. Zbl 1063.34002
Guo, Jong-Shenq; Lo, Chu-Pin; Tsai, Je-Chiang
2004
Uniqueness and existence of traveling waves for discrete quasilinear monostable dynamics. Zbl 1086.34011
Chen, Xinfu; Guo, Jong-Shenq
2003
On a two-point free boundary problem for a quasilinear parabolic equation. Zbl 1054.35143
Chang, Ya-Ling; Guo, Jong-Shenq; Kohsaka, Yoshihito
2003
Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition. Zbl 1052.35101
Fu, Sheng-Chen; Guo, Jong-Shenq; Tsai, Je-Chiang
2003
The self-similar expanding curve for the curvature flow equation. Zbl 1032.35084
Chern, Hua-Huai; Guo, Jong-Shenq; Lo, Chu-Pin
2003
Single-point blow-up patterns for a nonlinear parabolic equation. Zbl 1023.35050
Guo, Jong-Shenq; Guo, Yung-Jen Lin; Tsai, Je-Chiang
2003
Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations. Zbl 1010.39004
Chen, Xinfu; Guo, Jong-Shenq
2002
Complete blow-up and incomplete quenching for the heat equation with a nonlinear boundary condition. Zbl 0994.35066
Fila, Marek; Guo, Jong-Shenq
2002
Blowup rate for heat equation in Lipschitz domains with nonlinear heat source terms on the boundary. Zbl 1006.35054
Guo, Jong-Shenq; Hu, Bei
2002
Blow-up for a semilinear reaction-diffusion system coupled in both equations and boundary conditions. Zbl 1106.35309
Fu, Sheng-Chen; Guo, Jong-Shenq
2002
Traveling wave solutions for some discrete quasilinear parabolic equations. Zbl 1092.34012
Fu, Sheng-Chen; Guo, Jong-Shenq; Shieh, Shang-Yau
2002
On a fast diffusion equation with source. Zbl 0995.35035
Guo, Jong-Shenq; Guo, Yung-Jen L.
2001
On the steady states of a nonlocal semilinear heat equation. Zbl 0988.35087
Guo, Jong-Shenq; Hwang, Tsung-Min
2001
Quenching profile for a quasilinear parabolic equation. Zbl 1050.35006
Guo, Jong-Shenq; Hu, Bei
2000
Quenching behavior for the solution of a nonlocal semilinear heat equation. Zbl 0984.35012
Guo, Jong-Shenq
2000
Critical length for a quenching problem with nonlocal singularity. Zbl 0914.35051
Chen, Go-Jien; Guo, Jong-Shenq
1998
The profile near quenching time for the solution of a singular semilinear heat equation. Zbl 0903.35007
Guo, Jong-Shenq; Hu, Bei
1997
Quenching problem for a singular semilinear heat equation. Zbl 0896.35066
Guo, Jong-Shenq; Hu, Bei
1997
Quenching problem in nonhomogeneous media. Zbl 0940.35113
Guo, Jong-Shenq
1997
On the Cauchy problem for a very fast diffusion equation. Zbl 0864.35059
Guo, Jong-Shenq
1996
Numerical solutions for large sparse quadratic eigenvalue problems. Zbl 0839.65046
Guo, Jong-Shenq; Lin, Wen-Wei; Wang, Chern-Shuh
1995
...and 15 more Documents
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### Cited by 829 Authors

 63 Li, Wan-Tong 60 Guo, Jong-Shenq 30 Wang, Mingxin 30 Wu, Shiliang 28 Wang, Zhi Cheng 20 Lin, Guo 19 Mu, Chunlai 18 Yao, Jen-Chih 17 Hsu, Cheng-Hsiung 17 Wu, Changhong 16 Du, Yihong 16 Yu, Zhixian 15 Shen, Wenxian 15 Zhang, Guobao 15 Zheng, Sining 14 Wu, Chin-Chin 13 Chen, Xinfu 13 Sheng, WeiJie 12 Bao, Xiongxiong 12 Liu, Bingchen 12 Ninomiya, Hirokazu 12 Tsai, Je-Chiang 12 Wang, Jiabing 11 Hupkes, Hermen Jan 11 Pan, Shuxia 11 Ruan, Shigui 10 Li, Fengjie 10 Li, Kun 10 Li, Xiong 10 Qi, Yuanwei 10 Shimojō, Masahiko 10 Zhao, Xiao-Qiang 9 Lin, Zhigui 9 Lou, Bendong 9 Lv, Guangying 9 Ou, Chunhua 9 Poláčik, Peter 8 Ding, Xie Ping 8 Hamel, François 8 Souplet, Philippe 8 Wei, Jingdong 8 Zhao, Meng 7 Dong, Fang-Di 7 Hu, Bei 7 Iagar, Razvan Gabriel 7 Liang, Xing 7 Liu, NaiWei 7 Liu, Zuhan 7 Sánchez, Ariel 7 Van Vleck, Erik S. 7 Xu, Zhaoquan 7 Yuan, Rong 7 Zhou, Jiangbo 7 Zhou, Ling 6 Bo, Wei-Jian 6 Cao, Jiafeng 6 Chen, Guangsheng 6 Chen, Yanyu 6 Cheng, Cuiping 6 Cubiotti, Paolo 6 Guo, Hongjun 6 Huang, Jianhua 6 Meng, Yanling 6 Yang, Feiying 6 Zhang, Yang 6 Zhang, Zhengce 6 Zheng, Pan 5 Chen, Xiaoping 5 Ducrot, Arnaud 5 Feng, Zhaosheng 5 Ferreira, Raúl 5 Giletti, Thomas 5 Han, Bang-Sheng 5 Harada, Junichi 5 He, Yanli 5 Huang, Haomin 5 Huang, Nan-Jing 5 Kagaya, Takashi 5 Kien, Bui Trong 5 Lam, King-Yeung 5 Ma, Shiwang 5 Matano, Hiroshi 5 Monobe, Harunori 5 Punzo, Fabio 5 Seki, Yukihiro 5 Sun, Yujuan 5 Tian, Lixin 5 Trofimchuk, Sergei I. 5 Verma, Ram U. 5 Wang, Yang 5 Weng, Peixuan 5 Xiao, Dongmei 5 Zhang, Weiguo 5 Zhen, Zaili 5 Zhou, Maolin 4 Cheng, Hongmei 4 Dong, Mengzhen 4 Duong, Giao Ky 4 Escher, Joachim 4 Fang, Jian ...and 729 more Authors
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### Cited in 163 Serials

 106 Journal of Differential Equations 62 Journal of Mathematical Analysis and Applications 46 Discrete and Continuous Dynamical Systems. Series B 41 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 40 Nonlinear Analysis. Real World Applications 36 Journal of Dynamics and Differential Equations 28 Discrete and Continuous Dynamical Systems 24 Applied Mathematics and Computation 23 Applicable Analysis 23 ZAMP. Zeitschrift für angewandte Mathematik und Physik 20 Applied Mathematics Letters 18 Communications on Pure and Applied Analysis 15 Computers & Mathematics with Applications 12 Journal of Functional Analysis 12 Communications in Nonlinear Science and Numerical Simulation 11 Proceedings of the American Mathematical Society 11 Transactions of the American Mathematical Society 11 Physica D 11 Science China. Mathematics 10 Journal of Mathematical Biology 10 Journal of Optimization Theory and Applications 10 SIAM Journal on Mathematical Analysis 10 Calculus of Variations and Partial Differential Equations 9 Nonlinearity 9 Mathematische Annalen 9 Journal of Difference Equations and Applications 9 Boundary Value Problems 9 International Journal of Biomathematics 8 Archive for Rational Mechanics and Analysis 8 Journal of Computational and Applied Mathematics 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Discrete and Continuous Dynamical Systems. Series S 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Communications in Partial Differential Equations 7 Abstract and Applied Analysis 7 Taiwanese Journal of Mathematics 7 Advances in Difference Equations 6 Quarterly of Applied Mathematics 6 Tohoku Mathematical Journal. Second Series 6 Acta Applicandae Mathematicae 6 Journal of Inequalities and Applications 6 Journal of Dynamical and Control Systems 6 Journal of Evolution Equations 6 Nonlinear Analysis. Theory, Methods & Applications 5 Journal of Mathematical Physics 5 Japan Journal of Industrial and Applied Mathematics 5 Journal of Global Optimization 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Applied Mathematics and Mechanics. (English Edition) 4 Optimization 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Acta Mathematica Sinica. English Series 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Mathematical Methods in the Applied Sciences 3 Rocky Mountain Journal of Mathematics 3 Archiv der Mathematik 3 Osaka Journal of Mathematics 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Mathematical and Computer Modelling 3 Journal of Scientific Computing 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Complexity 3 Mathematical Problems in Engineering 3 Journal of Applied Mathematics and Computing 3 SIAM Journal on Applied Dynamical Systems 2 Bulletin of the Australian Mathematical Society 2 Communications on Pure and Applied Mathematics 2 Journal of Computational Physics 2 Bulletin of Mathematical Biology 2 Advances in Mathematics 2 Annales Polonici Mathematici 2 Calcolo 2 Asymptotic Analysis 2 European Journal of Applied Mathematics 2 The Journal of Geometric Analysis 2 Applied Mathematical Modelling 2 Linear Algebra and its Applications 2 Journal of Nonlinear Science 2 Applied Mathematics. Series B (English Edition) 2 Electronic Journal of Differential Equations (EJDE) 2 Computational and Applied Mathematics 2 Turkish Journal of Mathematics 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Contemporary Mathematics 2 Advanced Nonlinear Studies 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Hacettepe Journal of Mathematics and Statistics 2 Fixed Point Theory and Applications 2 Mathematical Biosciences and Engineering 2 Journal of Biological Dynamics 2 Mathematical Modelling of Natural Phenomena 2 Mathematical Control and Related Fields 2 Journal of Elliptic and Parabolic Equations 2 Electronic Research Archive 2 SN Partial Differential Equations and Applications 1 Israel Journal of Mathematics 1 Journal of Engineering Mathematics 1 Mathematical Biosciences ...and 63 more Serials
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### Cited in 31 Fields

 746 Partial differential equations (35-XX) 334 Biology and other natural sciences (92-XX) 169 Ordinary differential equations (34-XX) 63 Operator theory (47-XX) 60 Calculus of variations and optimal control; optimization (49-XX) 56 Dynamical systems and ergodic theory (37-XX) 44 Numerical analysis (65-XX) 41 Integral equations (45-XX) 34 Difference and functional equations (39-XX) 29 Differential geometry (53-XX) 23 Mechanics of deformable solids (74-XX) 18 Operations research, mathematical programming (90-XX) 15 Global analysis, analysis on manifolds (58-XX) 11 Fluid mechanics (76-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Functional analysis (46-XX) 4 Optics, electromagnetic theory (78-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX)