Reaction-diffusion problems in cylinders with no invariance by translation .2. Monotone perturbations

被引：20
作者：
Hamel, F
机构：
[1] Université Paris VI, Lab. d'Analyse Numérique, 75252 Paris Cedex 05, 4, place Jussieu
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 1997年 / 14卷 / 05期
关键词：
nonlinear PDE's; monotonicity properties; sub-and supersolutions; sliding method; asymptotic behaviours;
D O I：
10.1016/S0294-1449(97)80126-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this work is the study of the existence and of a priori properties of solutions (c, u) of the following reaction-diffusion equations in infinite cylinders Sigma = R x w with outward unit normal v: [GRAPHICS] The functions -beta and f are given and are non decreasing in x(1), The results on the existence and on the necessary conditions are related to two ''limit problems'' as x(1) --> +/-infinity.
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页码：555 / 596
页数：42
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