Dimension Estimate for the Global Attractor of an Evolution Equation-Reference-Cited by-同舟云学术

Dimension Estimate for the Global Attractor of an Evolution Equation

Published:2012 Issue: Volume:2012 Page:1-18
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Colucci Renato¹^ORCID,Chacón Gerardo R.¹^ORCID

Affiliation:

1. Departamento de Matemática, Pontificia Universidad Javeriana, Carrera 7 No. 43-82, Bogotá, Colombia

Abstract

We estimate the dimension of the global attractor of an evolution equation by the study of the evolution of then-dimensional volumes under the flow. We compare these results with the estimate of the dimension of the inertial manifold.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/541426.pdf

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