Edit Profile Guo, Jong-Shenq Compute Distance To: Compute Author ID: guo.jong-shenq Published as: Guo, J. S.; Guo, Jong-Shenq External Links: ORCID Documents Indexed: 131 Publications since 1990 Reviewing Activity: 2 Reviews all top 5 Co-Authors 17 single-authored 15 Wu, Chin-Chin 12 Wu, Changhong 11 Chen, Xinfu 11 Tsai, Je-Chiang 10 Hu, Bei 9 Shimojō, Masahiko 8 Ninomiya, Hirokazu 6 Fu, Sheng-Chen 6 Guo, Yungjen Lin 5 Chen, Yan-Yu 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 Ling, Chia-Tung 2 Fiedler, Bernold 2 Fila, Marek 2 Giletti, Thomas 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 Chen, Yushuo 1 Chern, Huahuai 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 Wang, Yi 1 Yanagida, Eiji 1 Yotsutani, Shoji 1 Yu, Cherng-Yih all top 5 Serials 11 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 Communications on Pure and Applied Analysis 3 Archive for Rational Mechanics and Analysis 3 Differential and Integral Equations 3 Bulletin of the Institute of Mathematics. Academia Sinica 3 Discrete and Continuous Dynamical Systems. Series B 2 Osaka Journal of Mathematics 2 Asymptotic Analysis 2 Japan Journal of Industrial and Applied Mathematics 2 Dynamic Systems and Applications 2 Linear Algebra and its Applications 2 SIAM Journal on Mathematical Analysis 2 The ANZIAM Journal 2 Journal of Evolution Equations 1 Computers & Mathematics with Applications 1 Journal of Mathematical Biology 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 Tamkang Journal of Mathematics 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 Nonlinear Analysis. Real World Applications 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 all top 5 Fields 101 Partial differential equations (35-XX) 41 Ordinary differential equations (34-XX) 22 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 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 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 107 Publications have been cited 1,492 times in 812 Documents Cited by ▼ Year ▼ Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations. Zbl 1010.39004Chen, Xinfu; Guo, Jong-Shenq 99 2002 Uniqueness and existence of traveling waves for discrete quasilinear monostable dynamics. Zbl 1086.34011Chen, Xinfu; Guo, Jong-Shenq 94 2003 On a free boundary problem for a two-species weak competition system. Zbl 1263.35132Guo, Jong-Shenq; Wu, Chang-Hong 78 2012 Entire solutions of reaction-diffusion equations and an application to discrete diffusive equations. Zbl 1065.35130Guo, Jong-Shenq; Morita, Yoshihisa 72 2005 Existence and uniqueness of entire solutions for a reaction-diffusion equation. Zbl 1079.35046Chen, Xinfu; Guo, Jong-Shenq 65 2005 Uniqueness and asymptotics of traveling waves of monostable dynamics on lattices. Zbl 1117.34060Chen, Xinfu; Fu, Sheng-Chen; Guo, Jong-Shenq 54 2006 Traveling wave front for a two-component lattice dynamical system arising in competition models. Zbl 1251.34018Guo, Jong-Shenq; Wu, Chang-Hong 49 2012 Front propagation for discrete periodic monostable equations. Zbl 1116.35063Guo, Jong-Shenq; Hamel, François 41 2006 Entire solutions of reaction-diffusion equations with balanced bistable nonlinearities. Zbl 1123.35024Chen, Xinfu; Guo, Jong-Shenq; Ninomiya, Hirokazu 39 2006 Traveling waves with paraboloid like interfaces for balanced bistable dynamics. Zbl 1132.35396Chen, Xinfu; Guo, Jong-Shenq; Hamel, François; Ninomiya, Hirokazu; Roquejoffre, Jean-Michel 37 2007 On the quenching behavior of the solution of a semilinear parabolic equation. Zbl 0721.35010Guo, Jong-Shenq 37 1990 Traveling waves in discrete periodic media for bistable dynamics. Zbl 1152.37033Chen, Xinfu; Guo, Jong-Shenq; Wu, Chin-Chin 36 2008 Dynamics for a two-species competition-diffusion model with two free boundaries. Zbl 1316.92066Guo, Jong-Shenq; Wu, Chang-Hong 34 2015 The minimal speed of traveling fronts for the Lotka-Volterra competition system. Zbl 1222.35053Guo, Jong-Shenq; Liang, Xing 29 2011 Variational and generalized variational inequalities with discontinuous mappings. Zbl 0809.49005Yao, Jen-Chih; Guo, Jong-Shenq 27 1994 Wave propagation for a two-component lattice dynamical system arising in strong competition models. Zbl 1241.34017Guo, Jong-Shenq; Wu, Chang-Hong 25 2011 Variational inequalities with nonmonotone operators. Zbl 0798.49013Guo, J. S.; Yao, J. C. 24 1994 Entire solutions for a two-component competition system in a lattice. Zbl 1202.34023Guo, Jong-Shenq; Wu, Chang-Hong 21 2010 Recent developments on wave propagation in 2-species competition systems. Zbl 1266.34128Guo, Jong-Shenq; Wu, Chang-Hong 19 2012 A nonlocal quenching problem arising in a micro-electro mechanical system. Zbl 1189.35328Guo, Jong-Shenq; Hu, Bei; Wang, Chi-Jen 19 2009 On a fast diffusion equation with source. Zbl 0995.35035Guo, Jong-Shenq; Guo, Yung-Jen L. 19 2001 Quenching profiles for one-dimensional semilinear heat equations. Zbl 0796.35072Filippas, Stathis; Guo, Jong-Shenq 17 1993 Uniqueness and stability of traveling waves for periodic monostable lattice dynamical system. Zbl 1202.34024Guo, Jong-Shenq; Wu, Chin-Chin 16 2009 Fast rate of formation of dead-core for the heat equation with strong absorption and applications to fast blow-up. Zbl 1063.35087Guo, Jong-Shenq; Souplet, Philippe 16 2005 Traveling waves for a lattice dynamical system arising in a diffusive endemic model. Zbl 1373.34022Chen, Yan-Yu; Guo, Jong-Shenq; Hamel, François 15 2017 Existence and uniqueness of traveling waves for a monostable 2-D lattice dynamical system. Zbl 1155.34016Guo, Jong-Shenq; Wu, Chang-Hong 15 2008 Extension of strongly nonlinear quasivariational inequalities. Zbl 0778.49009Guo, Jong-Shenq; Yao, Jen-Chih 15 1992 Traveling wave solutions for a continuous and discrete diffusive predator-prey model. Zbl 1347.92061Chen, Yan-Yu; Guo, Jong-Shenq; Yao, Chih-Hong 14 2017 The minimal speed of traveling wave solutions for a diffusive three species competition system. Zbl 1357.92062Guo, Jong-Shenq; Wang, Yi; Wu, Chang-Hong; Wu, Chin-Chin 14 2015 On a nonlocal parabolic problem arising in electrostatic MEMS control. Zbl 1243.35009Guo, Jong-Shenq; Kavallaris, Nikos I. 13 2012 On the quenching rate estimate. Zbl 0798.35080Guo, Jong-Shenq 13 1991 Traveling wave solutions for a discrete diffusive epidemic model. Zbl 1353.39005Fu, Sheng-Chen; Guo, Jong-Shenq; Wu, Chin-Chin 12 2016 Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity. Zbl 1277.35070Guo, Jong-Shenq; Ninomiya, Hirokazu; Shimojo, Masahiko; Yanagida, Eiji 12 2013 The sign of the wave speed for the Lotka-Volterra competition-diffusion system. Zbl 1267.35064Guo, Jong-Shenq; Lin, Ying-Chih 12 2013 Complete blow-up and incomplete quenching for the heat equation with a nonlinear boundary condition. Zbl 0994.35066Fila, Marek; Guo, Jong-Shenq 12 2002 The profile near quenching time for the solution of a singular semilinear heat equation. Zbl 0903.35007Guo, Jong-Shenq; Hu, Bei 12 1997 Numerical solutions for large sparse quadratic eigenvalue problems. Zbl 0839.65046Guo, Jong-Shenq; Lin, Wen-Wei; Wang, Chern-Shuh 12 1995 The existence of traveling wave solutions for a bistable three-component lattice dynamical system. Zbl 1410.34042Guo, Jong-Shenq; Wu, Chin-Chin 11 2016 Blowup rate for heat equation in Lipschitz domains with nonlinear heat source terms on the boundary. Zbl 1006.35054Guo, Jong-Shenq; Hu, Bei 11 2002 No touchdown at zero points of the permittivity profile for the MEMS problem. Zbl 1332.35160Guo, Jong-Shenq; Souplet, Philippe 10 2015 Boundedness of global solutions of a supercritical parabolic equation. Zbl 1128.35057Chen, Xinfu; Fila, Marek; Guo, Jong-Shenq 10 2008 Finite time dead-core rate for the heat equation with a strong absorption. Zbl 1157.35059Guo, Jong-Shenq; Wu, Chin-Chin 10 2007 Nonequivalence deflation for the solution of matrix latent value problems. Zbl 0841.65024Guo, Jong-Shenq; Lin, Wen-Wei; Wang, Chern-Shuh 10 1995 On a two-point free boundary problem for a quasilinear parabolic equation. Zbl 1054.35143Chang, Ya-Ling; Guo, Jong-Shenq; Kohsaka, Yoshihito 9 2003 The blow-up behavior of the solution of an integrodifferential equation. Zbl 0798.35021Guo, Jong-Shenq; Su, Hsuan-Wen 9 1992 Traveling wave solution for a lattice dynamical system with convolution type nonlinearity. Zbl 1245.34079Guo, Jong-Shenq; Lin, Ying-Chih 8 2012 Blowing up at zero points of potential for an initial boundary value problem. Zbl 1229.35110Guo, Jong-Shenq; Shimojo, Masahiko 8 2011 An application of braid group theory to the finite time dead-core rate. Zbl 1239.35085Guo, Jong-Shenq; Matano, Hiroshi; Wu, Chin-Chin 8 2010 Traveling waves of two-component reaction-diffusion systems arising from higher order autocatalytic models. Zbl 1362.34072Guo, Jong-Shenq; Tsai, Je-Chiang 8 2009 The structure of solutions for a third order differential equation in boundary layer theory. Zbl 1095.34006Guo, Jong-Shenq; Tsai, Je-Chiang 8 2005 Multiplicity of rotating spirals under curvature flows with normal tip motion. Zbl 1063.34001Fiedler, Bernold; Guo, Jong-Shenq; Tsai, Je-Chiang 8 2004 Blow-up for a semilinear reaction-diffusion system coupled in both equations and boundary conditions. Zbl 1106.35309Fu, Sheng-Chen; Guo, Jong-Shenq 8 2002 Entire solutions originating from monotone fronts to the Allen-Cahn equation. Zbl 1404.35251Chen, Yan-Yu; Guo, Jong-Shenq; Ninomiya, Hirokazu; Yao, Chih-Hong 7 2018 Blow-up behavior for a parabolic equation with spatially dependent coefficient. Zbl 1218.35047Guo, Jong-Shenq; Lin, Chang-Shou; Shimojo, Masahiko 7 2010 Non-self-similar dead-core rate for the fast diffusion equation with strong absorption. Zbl 1194.35059Guo, Jong-Shenq; Ling, Chia-Tung; Souplet, Philippe 7 2010 Existence and uniqueness of stabilized propagating wave segments in wave front interaction model. Zbl 1190.35050Guo, Jong-Shenq; Ninomiya, Hirokazu; Tsai, Je-Chiang 7 2010 Self-similar solutions of a 2-D multiple-phase curvature flow. Zbl 1113.74010Chen, Xinfu; Guo, Jong-Shenq 7 2007 On a two-point free boundary problem. Zbl 1129.35084Guo, Jong-Shenq; Hu, Bei 7 2006 Traveling wave solutions for some discrete quasilinear parabolic equations. Zbl 1092.34012Fu, Sheng-Chen; Guo, Jong-Shenq; Shieh, Shang-Yau 7 2002 Blow-up for a reaction-diffusion equation with variable coefficient. Zbl 1254.35029Guo, Jong-Shenq; Lin, Chang-Shou; Shimojo, Masahiko 6 2013 Existence and uniqueness of rigidly rotating spiral waves by a wave front interaction model. Zbl 1273.34051Chen, Yan-Yu; Guo, Jong-Shenq; Ninomiya, Hirokazu 6 2012 Motion by curvature of planar curves with end points moving freely on a line. Zbl 1232.53054Chen, Xinfu; Guo, Jong-Shenq 6 2011 The asymptotic behavior of solutions of the buffered bistable system. Zbl 1100.92016Guo, Jong-Shenq; Tsai, Je-Chiang 6 2006 Rotating spirals of curvature flows: a center manifold approach. Zbl 1223.37110Fiedler, Bernold; Guo, Jong-Shenq; Tsai, Je-Chiang 6 2006 On the steadily rotating spirals. Zbl 1103.34035Guo, Jong-Shenq; Nakamura, Ken-Ichi; Ogiwara, Toshiko; Tsai, Je-Chiang 6 2006 Quenching problem for a singular semilinear heat equation. Zbl 0896.35066Guo, Jong-Shenq; Hu, Bei 6 1997 On a free boundary problem for the curvature flow with driving force. Zbl 1336.35371Guo, Jong-Shenq; Matano, Hiroshi; Shimojo, Masahiko; Wu, Chang-Hong 5 2016 Hyperbolic quenching problem with damping in the micro-electro mechanical system device. Zbl 1288.35355Guo, Jong-Shenq; Huang, Bo-Chih 5 2014 Dead-core rates for the porous medium equation with a strong absorption. Zbl 1250.35128Chen, Xinfu; Guo, Jong-Shenq; Hu, Bei 5 2012 Front propagation for a two-dimensional periodic monostable lattice dynamical system. Zbl 1195.34118Guo, Jong-Shenq; Wu, Chang-Hong 5 2010 Blowup rate estimate for a system of semilinear parabolic equations. Zbl 1173.35362Guo, Jong-Shenq; Sasayama, Satoshi; Wang, Chi-Jen 5 2009 Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition. Zbl 1052.35101Fu, Sheng-Chen; Guo, Jong-Shenq; Tsai, Je-Chiang 5 2003 The self-similar expanding curve for the curvature flow equation. Zbl 1032.35084Chern, Hua-Huai; Guo, Jong-Shenq; Lo, Chu-Pin 5 2003 Quenching profile for a quasilinear parabolic equation. Zbl 1050.35006Guo, Jong-Shenq; Hu, Bei 5 2000 Recent developments on a nonlocal problem arising in the micro-electro mechanical system. Zbl 1326.35018Guo, Jong-Shenq 4 2014 Existence of a rotating wave pattern in a disk for a wave front interaction model. Zbl 1273.34039Guo, Jong-Shenq; Ninomiya, Hirokazu; Wu, Chin-Chin 4 2013 Propagation and blocking in periodically hostile environments. Zbl 1263.35036Guo, Jong-Shenq; Hamel, François 4 2012 On the steady states of a nonlocal semilinear heat equation. Zbl 0988.35087Guo, Jong-Shenq; Hwang, Tsung-Min 4 2001 Quenching behavior for the solution of a nonlocal semilinear heat equation. Zbl 0984.35012Guo, Jong-Shenq 4 2000 On the Cauchy problem for a very fast diffusion equation. Zbl 0864.35059Guo, Jong-Shenq 4 1996 On a quenching problem with the Robin boundary condition. Zbl 0762.35039Guo, Jong-Shenq 4 1991 Traveling wave solutions for a predator-prey system with two predators and one prey. Zbl 1437.34052Guo, Jong-Shenq; Nakamura, Ken-Ichi; Ogiwara, Toshiko; Wu, Chin-Chin 3 2020 Stability and uniqueness of traveling waves for a discrete bistable 3-species competition system. Zbl 1408.34013Guo, Jong-Shenq; Nakamura, Ken-Ichi; Ogiwara, Toshiko; Wu, Chin-Chin 3 2019 Excluding blowup at zero points of the potential by means of Liouville-type theorems. Zbl 1394.35229Guo, Jong-Shenq; Souplet, Philippe 3 2018 Entire solutions for a discrete diffusive equation with bistable convolution type nonlinearity. Zbl 1285.34006Guo, Jong-Shenq; Lin, Ying-Chin 3 2013 Quenching behaviour for a singular predator-prey model. Zbl 1252.35169Ducrot, Arnaud; Guo, Jong-Shenq 3 2012 Blow-up behavior for a quasilinear parabolic equation with nonlinear boundary condition. Zbl 1133.35060Guo, Jong-Shenq 3 2007 Self-similar solutions for the kinematic model equation of spiral waves. Zbl 1067.34049Guo, Jong-Shenq; Ishimura, Naoyuki; Wu, Chin-Chin 3 2004 The structure of solutions for equations related to the motions of plane curves. Zbl 1063.34002Guo, Jong-Shenq; Lo, Chu-Pin; Tsai, Je-Chiang 3 2004 Quenching problem in nonhomogeneous media. Zbl 0940.35113Guo, Jong-Shenq 3 1997 Large time behaviour of solutions of a fast diffusion equation with source. Zbl 0821.35067Guo, Jong-Shenq 3 1994 Generalized variational inequalities for multivalued operators with contractible values. Zbl 0777.49007Guo, Jong-Shenq; Kung, Yin-Min 3 1992 The critical length for a quenching problem. Zbl 0808.35060Guo, Jong-Shenq 3 1992 The spreading speed and the minimal wave speed of a predator-prey system with nonlocal dispersal. Zbl 1422.35115Ducrot, Arnaud; Guo, Jong-Shenq; Lin, Guo; Pan, Shuxia 2 2019 Entire solutions originating from traveling fronts for a two-species competition-diffusion system. Zbl 1418.35218Guo, Jong-Shenq; Wu, Chang-Hong 2 2019 Asymptotic behavior of solutions to a class of diffusive predator-prey systems. Zbl 1394.35221Ducrot, Arnaud; Guo, Jong-Shenq 2 2018 Quenching rate for a nonlocal problem arising in the micro-electro mechanical system. Zbl 06824714Guo, Jong-Shenq; Hu, Bei 2 2018 On the dead-core rates for a parabolic equation with strong absorption. Zbl 1291.35108Guo, Jong-Shenq 2 2013 Dead-core at time infinity for a heat equation with strong absorption. Zbl 1182.35141Fu, Sheng-Chen; Guo, Jong-Shenq; Wu, Chin-Chin 2 2009 Blow up behavior for a nonlinear parabolic equation of nondivergence form. Zbl 1072.35086Guo, Jong-Shenq; Hu, Bei 2 2005 Traveling wave solutions for a predator-prey system with two predators and one prey. Zbl 1437.34052Guo, Jong-Shenq; Nakamura, Ken-Ichi; Ogiwara, Toshiko; Wu, Chin-Chin 3 2020 Stability and uniqueness of traveling waves for a discrete bistable 3-species competition system. Zbl 1408.34013Guo, Jong-Shenq; Nakamura, Ken-Ichi; Ogiwara, Toshiko; Wu, Chin-Chin 3 2019 The spreading speed and the minimal wave speed of a predator-prey system with nonlocal dispersal. Zbl 1422.35115Ducrot, Arnaud; Guo, Jong-Shenq; Lin, Guo; Pan, Shuxia 2 2019 Entire solutions originating from traveling fronts for a two-species competition-diffusion system. Zbl 1418.35218Guo, Jong-Shenq; Wu, Chang-Hong 2 2019 Entire solutions originating from monotone fronts to the Allen-Cahn equation. Zbl 1404.35251Chen, Yan-Yu; Guo, Jong-Shenq; Ninomiya, Hirokazu; Yao, Chih-Hong 7 2018 Excluding blowup at zero points of the potential by means of Liouville-type theorems. Zbl 1394.35229Guo, Jong-Shenq; Souplet, Philippe 3 2018 Asymptotic behavior of solutions to a class of diffusive predator-prey systems. Zbl 1394.35221Ducrot, Arnaud; Guo, Jong-Shenq 2 2018 Quenching rate for a nonlocal problem arising in the micro-electro mechanical system. Zbl 06824714Guo, Jong-Shenq; Hu, Bei 2 2018 Traveling waves for a lattice dynamical system arising in a diffusive endemic model. Zbl 1373.34022Chen, Yan-Yu; Guo, Jong-Shenq; Hamel, François 15 2017 Traveling wave solutions for a continuous and discrete diffusive predator-prey model. Zbl 1347.92061Chen, Yan-Yu; Guo, Jong-Shenq; Yao, Chih-Hong 14 2017 Traveling wave solutions for a discrete diffusive epidemic model. Zbl 1353.39005Fu, Sheng-Chen; Guo, Jong-Shenq; Wu, Chin-Chin 12 2016 The existence of traveling wave solutions for a bistable three-component lattice dynamical system. Zbl 1410.34042Guo, Jong-Shenq; Wu, Chin-Chin 11 2016 On a free boundary problem for the curvature flow with driving force. Zbl 1336.35371Guo, Jong-Shenq; Matano, Hiroshi; Shimojo, Masahiko; Wu, Chang-Hong 5 2016 Self-similar solutions for a quenching problem with spatially dependent nonlinearity. Zbl 1416.34008Guo, Jong-Shenq; Morita, Yoshihisa; Yotsutani, Shoji 1 2016 Dynamics for a two-species competition-diffusion model with two free boundaries. Zbl 1316.92066Guo, Jong-Shenq; Wu, Chang-Hong 34 2015 The minimal speed of traveling wave solutions for a diffusive three species competition system. Zbl 1357.92062Guo, Jong-Shenq; Wang, Yi; Wu, Chang-Hong; Wu, Chin-Chin 14 2015 No touchdown at zero points of the permittivity profile for the MEMS problem. Zbl 1332.35160Guo, Jong-Shenq; Souplet, Philippe 10 2015 On the dead-core problem for the \(p\)-Laplace equation with a strong absorption. Zbl 1333.35090Guo, Jong-Shenq; Wu, Chin-Chin 1 2015 Hyperbolic quenching problem with damping in the micro-electro mechanical system device. Zbl 1288.35355Guo, Jong-Shenq; Huang, Bo-Chih 5 2014 Recent developments on a nonlocal problem arising in the micro-electro mechanical system. Zbl 1326.35018Guo, Jong-Shenq 4 2014 Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity. Zbl 1277.35070Guo, Jong-Shenq; Ninomiya, Hirokazu; Shimojo, Masahiko; Yanagida, Eiji 12 2013 The sign of the wave speed for the Lotka-Volterra competition-diffusion system. Zbl 1267.35064Guo, Jong-Shenq; Lin, Ying-Chih 12 2013 Blow-up for a reaction-diffusion equation with variable coefficient. Zbl 1254.35029Guo, Jong-Shenq; Lin, Chang-Shou; Shimojo, Masahiko 6 2013 Existence of a rotating wave pattern in a disk for a wave front interaction model. Zbl 1273.34039Guo, Jong-Shenq; Ninomiya, Hirokazu; Wu, Chin-Chin 4 2013 Entire solutions for a discrete diffusive equation with bistable convolution type nonlinearity. Zbl 1285.34006Guo, Jong-Shenq; Lin, Ying-Chin 3 2013 On the dead-core rates for a parabolic equation with strong absorption. Zbl 1291.35108Guo, Jong-Shenq 2 2013 On a free boundary problem for a two-species weak competition system. Zbl 1263.35132Guo, Jong-Shenq; Wu, Chang-Hong 78 2012 Traveling wave front for a two-component lattice dynamical system arising in competition models. Zbl 1251.34018Guo, Jong-Shenq; Wu, Chang-Hong 49 2012 Recent developments on wave propagation in 2-species competition systems. Zbl 1266.34128Guo, Jong-Shenq; Wu, Chang-Hong 19 2012 On a nonlocal parabolic problem arising in electrostatic MEMS control. Zbl 1243.35009Guo, Jong-Shenq; Kavallaris, Nikos I. 13 2012 Traveling wave solution for a lattice dynamical system with convolution type nonlinearity. Zbl 1245.34079Guo, Jong-Shenq; Lin, Ying-Chih 8 2012 Existence and uniqueness of rigidly rotating spiral waves by a wave front interaction model. Zbl 1273.34051Chen, Yan-Yu; Guo, Jong-Shenq; Ninomiya, Hirokazu 6 2012 Dead-core rates for the porous medium equation with a strong absorption. Zbl 1250.35128Chen, Xinfu; Guo, Jong-Shenq; Hu, Bei 5 2012 Propagation and blocking in periodically hostile environments. Zbl 1263.35036Guo, Jong-Shenq; Hamel, François 4 2012 Quenching behaviour for a singular predator-prey model. Zbl 1252.35169Ducrot, Arnaud; Guo, Jong-Shenq 3 2012 The minimal speed of traveling fronts for the Lotka-Volterra competition system. Zbl 1222.35053Guo, Jong-Shenq; Liang, Xing 29 2011 Wave propagation for a two-component lattice dynamical system arising in strong competition models. Zbl 1241.34017Guo, Jong-Shenq; Wu, Chang-Hong 25 2011 Blowing up at zero points of potential for an initial boundary value problem. Zbl 1229.35110Guo, Jong-Shenq; Shimojo, Masahiko 8 2011 Motion by curvature of planar curves with end points moving freely on a line. Zbl 1232.53054Chen, Xinfu; Guo, Jong-Shenq 6 2011 Entire solutions for a two-component competition system in a lattice. Zbl 1202.34023Guo, Jong-Shenq; Wu, Chang-Hong 21 2010 An application of braid group theory to the finite time dead-core rate. Zbl 1239.35085Guo, Jong-Shenq; Matano, Hiroshi; Wu, Chin-Chin 8 2010 Blow-up behavior for a parabolic equation with spatially dependent coefficient. Zbl 1218.35047Guo, Jong-Shenq; Lin, Chang-Shou; Shimojo, Masahiko 7 2010 Non-self-similar dead-core rate for the fast diffusion equation with strong absorption. Zbl 1194.35059Guo, Jong-Shenq; Ling, Chia-Tung; Souplet, Philippe 7 2010 Existence and uniqueness of stabilized propagating wave segments in wave front interaction model. Zbl 1190.35050Guo, Jong-Shenq; Ninomiya, Hirokazu; Tsai, Je-Chiang 7 2010 Front propagation for a two-dimensional periodic monostable lattice dynamical system. Zbl 1195.34118Guo, Jong-Shenq; Wu, Chang-Hong 5 2010 A nonlocal quenching problem arising in a micro-electro mechanical system. Zbl 1189.35328Guo, Jong-Shenq; Hu, Bei; Wang, Chi-Jen 19 2009 Uniqueness and stability of traveling waves for periodic monostable lattice dynamical system. Zbl 1202.34024Guo, Jong-Shenq; Wu, Chin-Chin 16 2009 Traveling waves of two-component reaction-diffusion systems arising from higher order autocatalytic models. Zbl 1362.34072Guo, Jong-Shenq; Tsai, Je-Chiang 8 2009 Blowup rate estimate for a system of semilinear parabolic equations. Zbl 1173.35362Guo, Jong-Shenq; Sasayama, Satoshi; Wang, Chi-Jen 5 2009 Dead-core at time infinity for a heat equation with strong absorption. Zbl 1182.35141Fu, Sheng-Chen; Guo, Jong-Shenq; Wu, Chin-Chin 2 2009 Traveling waves in discrete periodic media for bistable dynamics. Zbl 1152.37033Chen, Xinfu; Guo, Jong-Shenq; Wu, Chin-Chin 36 2008 Existence and uniqueness of traveling waves for a monostable 2-D lattice dynamical system. Zbl 1155.34016Guo, Jong-Shenq; Wu, Chang-Hong 15 2008 Boundedness of global solutions of a supercritical parabolic equation. Zbl 1128.35057Chen, Xinfu; Fila, Marek; Guo, Jong-Shenq 10 2008 Traveling waves with paraboloid like interfaces for balanced bistable dynamics. Zbl 1132.35396Chen, Xinfu; Guo, Jong-Shenq; Hamel, François; Ninomiya, Hirokazu; Roquejoffre, Jean-Michel 37 2007 Finite time dead-core rate for the heat equation with a strong absorption. Zbl 1157.35059Guo, Jong-Shenq; Wu, Chin-Chin 10 2007 Self-similar solutions of a 2-D multiple-phase curvature flow. Zbl 1113.74010Chen, Xinfu; Guo, Jong-Shenq 7 2007 Blow-up behavior for a quasilinear parabolic equation with nonlinear boundary condition. Zbl 1133.35060Guo, Jong-Shenq 3 2007 Uniqueness and asymptotics of traveling waves of monostable dynamics on lattices. Zbl 1117.34060Chen, Xinfu; Fu, Sheng-Chen; Guo, Jong-Shenq 54 2006 Front propagation for discrete periodic monostable equations. Zbl 1116.35063Guo, Jong-Shenq; Hamel, François 41 2006 Entire solutions of reaction-diffusion equations with balanced bistable nonlinearities. Zbl 1123.35024Chen, Xinfu; Guo, Jong-Shenq; Ninomiya, Hirokazu 39 2006 On a two-point free boundary problem. Zbl 1129.35084Guo, Jong-Shenq; Hu, Bei 7 2006 The asymptotic behavior of solutions of the buffered bistable system. Zbl 1100.92016Guo, Jong-Shenq; Tsai, Je-Chiang 6 2006 Rotating spirals of curvature flows: a center manifold approach. Zbl 1223.37110Fiedler, Bernold; Guo, Jong-Shenq; Tsai, Je-Chiang 6 2006 On the steadily rotating spirals. Zbl 1103.34035Guo, Jong-Shenq; Nakamura, Ken-Ichi; Ogiwara, Toshiko; Tsai, Je-Chiang 6 2006 Entire solutions of reaction-diffusion equations and an application to discrete diffusive equations. Zbl 1065.35130Guo, Jong-Shenq; Morita, Yoshihisa 72 2005 Existence and uniqueness of entire solutions for a reaction-diffusion equation. Zbl 1079.35046Chen, Xinfu; Guo, Jong-Shenq 65 2005 Fast rate of formation of dead-core for the heat equation with strong absorption and applications to fast blow-up. Zbl 1063.35087Guo, Jong-Shenq; Souplet, Philippe 16 2005 The structure of solutions for a third order differential equation in boundary layer theory. Zbl 1095.34006Guo, Jong-Shenq; Tsai, Je-Chiang 8 2005 Blow up behavior for a nonlinear parabolic equation of nondivergence form. Zbl 1072.35086Guo, Jong-Shenq; Hu, Bei 2 2005 Multiplicity of rotating spirals under curvature flows with normal tip motion. Zbl 1063.34001Fiedler, Bernold; Guo, Jong-Shenq; Tsai, Je-Chiang 8 2004 Self-similar solutions for the kinematic model equation of spiral waves. Zbl 1067.34049Guo, Jong-Shenq; Ishimura, Naoyuki; Wu, Chin-Chin 3 2004 The structure of solutions for equations related to the motions of plane curves. Zbl 1063.34002Guo, Jong-Shenq; Lo, Chu-Pin; Tsai, Je-Chiang 3 2004 Uniqueness and existence of traveling waves for discrete quasilinear monostable dynamics. Zbl 1086.34011Chen, Xinfu; Guo, Jong-Shenq 94 2003 On a two-point free boundary problem for a quasilinear parabolic equation. Zbl 1054.35143Chang, Ya-Ling; Guo, Jong-Shenq; Kohsaka, Yoshihito 9 2003 Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition. Zbl 1052.35101Fu, Sheng-Chen; Guo, Jong-Shenq; Tsai, Je-Chiang 5 2003 The self-similar expanding curve for the curvature flow equation. Zbl 1032.35084Chern, Hua-Huai; Guo, Jong-Shenq; Lo, Chu-Pin 5 2003 Single-point blow-up patterns for a nonlinear parabolic equation. Zbl 1023.35050Guo, Jong-Shenq; Guo, Yung-Jen Lin; Tsai, Je-Chiang 1 2003 Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations. Zbl 1010.39004Chen, Xinfu; Guo, Jong-Shenq 99 2002 Complete blow-up and incomplete quenching for the heat equation with a nonlinear boundary condition. Zbl 0994.35066Fila, Marek; Guo, Jong-Shenq 12 2002 Blowup rate for heat equation in Lipschitz domains with nonlinear heat source terms on the boundary. Zbl 1006.35054Guo, Jong-Shenq; Hu, Bei 11 2002 Blow-up for a semilinear reaction-diffusion system coupled in both equations and boundary conditions. Zbl 1106.35309Fu, Sheng-Chen; Guo, Jong-Shenq 8 2002 Traveling wave solutions for some discrete quasilinear parabolic equations. Zbl 1092.34012Fu, Sheng-Chen; Guo, Jong-Shenq; Shieh, Shang-Yau 7 2002 On a fast diffusion equation with source. Zbl 0995.35035Guo, Jong-Shenq; Guo, Yung-Jen L. 19 2001 On the steady states of a nonlocal semilinear heat equation. Zbl 0988.35087Guo, Jong-Shenq; Hwang, Tsung-Min 4 2001 Quenching profile for a quasilinear parabolic equation. Zbl 1050.35006Guo, Jong-Shenq; Hu, Bei 5 2000 Quenching behavior for the solution of a nonlocal semilinear heat equation. Zbl 0984.35012Guo, Jong-Shenq 4 2000 Critical length for a quenching problem with nonlocal singularity. Zbl 0914.35051Chen, Go-Jien; Guo, Jong-Shenq 2 1998 The profile near quenching time for the solution of a singular semilinear heat equation. Zbl 0903.35007Guo, Jong-Shenq; Hu, Bei 12 1997 Quenching problem for a singular semilinear heat equation. Zbl 0896.35066Guo, Jong-Shenq; Hu, Bei 6 1997 Quenching problem in nonhomogeneous media. Zbl 0940.35113Guo, Jong-Shenq 3 1997 On the Cauchy problem for a very fast diffusion equation. Zbl 0864.35059Guo, Jong-Shenq 4 1996 Numerical solutions for large sparse quadratic eigenvalue problems. Zbl 0839.65046Guo, Jong-Shenq; Lin, Wen-Wei; Wang, Chern-Shuh 12 1995 Nonequivalence deflation for the solution of matrix latent value problems. Zbl 0841.65024Guo, Jong-Shenq; Lin, Wen-Wei; Wang, Chern-Shuh 10 1995 Quenching behavior for a fast diffusion equation with absorption. Zbl 0824.35055Guo, Jong-Shenq 1 1995 Variational and generalized variational inequalities with discontinuous mappings. Zbl 0809.49005Yao, Jen-Chih; Guo, Jong-Shenq 27 1994 Variational inequalities with nonmonotone operators. Zbl 0798.49013Guo, J. S.; Yao, J. C. 24 1994 Large time behaviour of solutions of a fast diffusion equation with source. Zbl 0821.35067Guo, Jong-Shenq 3 1994 Quenching profiles for one-dimensional semilinear heat equations. Zbl 0796.35072Filippas, Stathis; Guo, Jong-Shenq 17 1993 Extension of strongly nonlinear quasivariational inequalities. Zbl 0778.49009Guo, Jong-Shenq; Yao, Jen-Chih 15 1992 The blow-up behavior of the solution of an integrodifferential equation. Zbl 0798.35021Guo, Jong-Shenq; Su, Hsuan-Wen 9 1992 ...and 7 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 788 Authors 57 Li, Wan-Tong 55 Guo, Jong-Shenq 31 Wang, Mingxin 27 Wang, Zhi Cheng 27 Wu, Shiliang 19 Mu, Chunlai 18 Yao, Jen-Chih 17 Lin, Guo 16 Wu, Changhong 15 Hsu, Cheng-Hsiung 15 Zhang, Guobao 15 Zheng, Sining 14 Shen, Wenxian 14 Wu, Chin-Chin 13 Chen, Xinfu 13 Sheng, WeiJie 12 Liu, Bingchen 12 Ninomiya, Hirokazu 12 Yu, Zhixian 11 Bao, Xiongxiong 11 Du, Yihong 11 Li, Xiong 11 Ruan, Shigui 11 Tsai, Je-Chiang 11 Zhao, Xiao-Qiang 10 Li, Fengjie 10 Qi, Yuanwei 9 Lv, Guangying 9 Pan, Shuxia 8 Ding, Xie Ping 8 Hamel, François 8 Lin, Zhigui 8 Poláčik, Peter 8 Wang, Jiabing 8 Wang, Zhi Cheng 7 Hu, Bei 7 Hupkes, Hermen Jan 7 Li, Kun 7 Liang, Xing 7 Liu, NaiWei 7 Lou, Bendong 7 Ou, Chunhua 7 Shimojō, Masahiko 7 Souplet, Philippe 7 Wei, Jingdong 6 Chen, Guangsheng 6 Chen, Yan-Yu 6 Cubiotti, Paolo 6 Huang, Jianhua 6 Zhang, Yang 6 Zhao, Meng 6 Zheng, Pan 6 Zhou, Jiangbo 5 Cao, Jia-Feng 5 Chen, Xiaoping 5 Cheng, Cuiping 5 Dong, Fang-Di 5 Feng, Zhaosheng 5 Ferreira, Raúl 5 Guo, Hongjun 5 Harada, Junichi 5 Huang, Haomin 5 Huang, Nan-Jing 5 Kien, Bui Trong 5 Liu, Zuhan 5 Ma, Shiwang 5 Matano, Hiroshi 5 Sun, Yujuan 5 Trofimchuk, Sergei I. 5 Van Vleck, Erik S. 5 Verma, Ram U. 5 Weng, Peixuan 5 Xu, Zhaoquan 5 Zhang, Weiguo 5 Zhang, Zhengce 5 Zhou, Ling 4 Bo, Wei-Jian 4 Dong, Mengzhen 4 Ducrot, Arnaud 4 Escher, Joachim 4 Fang, Jian 4 Guo, Yungjen Lin 4 Li, Chenglin 4 Lienstromberg, Christina 4 Lin, Jian Jhong 4 Lin, Wen-Wei 4 Liu, Gui Rong 4 Mantegazza, Carlo 4 Meng, Yanling 4 Monobe, Harunori 4 Morelli, Leonardo 4 Peng, Rui 4 Rossi, Julio Daniel 4 Seki, Yukihiro 4 Tian, Lixin 4 Wang, Wei 4 Wang, Xiaohuan 4 Wong, Ngai-Ching 4 Yang, Chunxiao 4 Yang, Feiying ...and 688 more Authors all top 5 Cited in 142 Serials 98 Journal of Differential Equations 57 Journal of Mathematical Analysis and Applications 38 Nonlinear Analysis. 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(English Edition) 4 Optimization 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Journal of Inequalities and Applications 4 Acta Mathematica Sinica. English Series 4 Advances in Difference Equations 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 Japan Journal of Industrial and Applied Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Complexity 3 Mathematical Problems in Engineering 3 Bulletin of the Malaysian Mathematical Sciences Society. 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Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Kyungpook Mathematical Journal ...and 42 more Serials all top 5 Cited in 30 Fields 625 Partial differential equations (35-XX) 254 Biology and other natural sciences (92-XX) 150 Ordinary differential equations (34-XX) 59 Calculus of variations and optimal control; optimization (49-XX) 54 Operator theory (47-XX) 43 Numerical analysis (65-XX) 42 Dynamical systems and ergodic theory (37-XX) 37 Integral equations (45-XX) 25 Difference and functional equations (39-XX) 22 Mechanics of deformable solids (74-XX) 21 Differential geometry (53-XX) 19 Operations research, mathematical programming (90-XX) 12 Global analysis, analysis on manifolds (58-XX) 12 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) 3 Functional analysis (46-XX) 3 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 General topology (54-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Computer science (68-XX) Citations by Year