Sturm Attractors for Quasilinear Parabolic Equations with Singular Coefficients

被引：0
作者：
Phillipo Lappicy
机构：
[1] Universidade de São Paulo,Instituto de Ciências Matemáticas e de Computação
来源：
Journal of Dynamics and Differential Equations | 2020年 / 32卷
关键词：
Parabolic equations; Singular coefficients; Infinite dimensional dynamical systems; Global attractor; Sturm attractor;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The goal of this paper is to construct explicitly the global attractors of parabolic equations with singular diffusion coefficients on the boundary, as it was done without the singular term for the semilinear case by Brunovský and Fiedler (1986), generalized by Fiedler and Rocha (1996) and later for quasilinear equations by Lappicy (2017). In particular, we construct heteroclinic connections between hyperbolic equilibria, stating necessary and sufficient conditions for heteroclinics to occur. Such conditions can be computed through a permutation of the equilibria. Lastly, an example is computed yielding the well known Chafee–Infante attractor.
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页码：359 / 390
页数：31
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