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Existence and finite dimensionality of the global attractor for a class of nonlinear dissipative equations

Published online by Cambridge University Press:  14 November 2011

Eduardo Arbieto Alarcón
Eduardo Arbieto Alarcón
Affiliation:
Laboratório Nacional de Computaçāo Científica (LNCC/CNPq), Rua Lauro Müller, 455 – Botafogo 22229, Rio de Janeiro, R.J., Brazil
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Synopsis

In this work we discuss the Cauchy problem for a class of nonlinear dissipative equations as well as the existence of a global attractor and we estimate its dimension in the sense of the Hausdorff (or fractal) dimension.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 123 , Issue 5 , 1993 , pp. 893 - 916
Copyright
Copyright © Royal Society of Edinburgh 1993

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