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Discrete & Continuous Dynamical Systems - A

January 2006 , Volume 14 , Issue 1

Special Issue
Qualitative theory of nonlinear elliptic and parabolic problems

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Preface
Peter Poláčik and Eiji Yanagida
2006, 14(1): i-iii doi: 10.3934/dcds.2006.14.1i +[Abstract](644) +[PDF](31.6KB)
The degenerate logistic model and a singularly mixed boundary blow-up problem
Yihong Du and Zongming Guo
2006, 14(1): 1-29 doi: 10.3934/dcds.2006.14.1 +[Abstract](895) +[PDF](350.4KB)
Interacting spots in reaction diffusion systems
S.-I. Ei, M. Mimura and M. Nagayama
2006, 14(1): 31-62 doi: 10.3934/dcds.2006.14.31 +[Abstract](1031) +[PDF](2728.1KB)
Dirichlet boundary conditions can prevent blow-up in reaction-diffusion equations and systems
Marek Fila, Hirokazu Ninomiya and Juan-Luis Vázquez
2006, 14(1): 63-74 doi: 10.3934/dcds.2006.14.63 +[Abstract](922) +[PDF](230.5KB)
Asymptotic properties and classification of bistable fronts with Lipschitz level sets
François Hamel, Régis Monneau and Jean-Michel Roquejoffre
2006, 14(1): 75-92 doi: 10.3934/dcds.2006.14.75 +[Abstract](824) +[PDF](303.9KB)
Multiple stable patterns for some reaction-diffusion equation in disrupted environments
Takanori Ide, Kazuhiro Kurata and Kazunaga Tanaka
2006, 14(1): 93-116 doi: 10.3934/dcds.2006.14.93 +[Abstract](780) +[PDF](331.9KB)
Behaviors of solutions to a scalar-field equation involving the critical Sobolev exponent with the Robin condition
Y. Kabeya
2006, 14(1): 117-134 doi: 10.3934/dcds.2006.14.117 +[Abstract](754) +[PDF](301.6KB)
Bifurcation structures of positive stationary solutions for a Lotka-Volterra competition model with diffusion II: Global structure
Yukio Kan-On
2006, 14(1): 135-148 doi: 10.3934/dcds.2006.14.135 +[Abstract](1095) +[PDF](261.6KB)
Phase pattern in a Ginzburg-Landau model with a discontinuous coefficient in a ring
Satoshi Kosugi and Yoshihisa Morita
2006, 14(1): 149-168 doi: 10.3934/dcds.2006.14.149 +[Abstract](958) +[PDF](312.6KB)
Complete and energy blow-up in indefinite superlinear parabolic problems
Julián López-Gómez and Pavol Quittner
2006, 14(1): 169-186 doi: 10.3934/dcds.2006.14.169 +[Abstract](1170) +[PDF](290.4KB)
Construction of multidimensional spike-layers
Andrea Malchiodi
2006, 14(1): 187-202 doi: 10.3934/dcds.2006.14.187 +[Abstract](807) +[PDF](254.2KB)
Stability of a traveling wave in curvature flows for spatially non-decaying initial perturbations
Mitsunori Nara and Masaharu Taniguchi
2006, 14(1): 203-220 doi: 10.3934/dcds.2006.14.203 +[Abstract](825) +[PDF](289.5KB)
Stabilization towards a singular steady state with gradient blow-up for a diffusion-convection problem
Philippe Souplet and Juan-Luis Vázquez
2006, 14(1): 221-234 doi: 10.3934/dcds.2006.14.221 +[Abstract](857) +[PDF](270.7KB)

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