Sturm attractors for fully nonlinear parabolic equations

被引：0

作者：

Phillipo Lappicy

机构：

[1] Universidade de São Paulo,Instituto de Ciências Matemáticas e de Computação

来源：

Revista Matemática Complutense | 2023年 / 36卷

关键词：

Fully nonlinear PDEs; Infinite dimensional dynamical systems; 35K10; 35B40; 35B41; 37L30; 37G35;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We explicitly construct global attractors of fully nonlinear parabolic equations in one spatial dimension. These attractors are decomposed as equilibria (time independent solutions) and heteroclinic orbits (solutions that converge to distinct equilibria backwards and forwards in time). In particular, we state necessary and sufficient conditions for the occurrence of heteroclinics between hyperbolic equilibria, which is accompanied by a method that computes such conditions.

引用

页码：725 / 747

页数：22

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