MR2668513 Michio URANO Michio URANO Transition Layers for a Bistable Reaction-Diffusion Equation with Variable Diffusion Funkcialaj Ekvacioj. Serio Internacia 53 2010 21--49 http://fe.math.kobe-u.ac.jp/FE/FullPapers/53-1/53_21.pdf http://www.ams.org/mathscinet-getitem?mr=MR2668513 This paper is concerned with the stationary problem for a bistable reaction-diffusion equation which possesses spatially inhomogeneous effects both in its diffusion and reaction terms. For this problem, we are interested in solutions with transition layers. Our main purpose is to study precise profiles of such solutions. In particular, we will determine the location of transition layers. Moreover, we will show some conditions under which one can observe multi-layers. Spatial inhomogeneity, Bistability, Reaction-diffusion, Transition layer, Single-layer, Multi-layer. 35K57, 35B25. 53-21 2010 Transition Layers for a Bistable Reaction-Diffusion Equation with Variable Diffusion Michio URANO Michio URANO
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