Exponential attractors for nonautonomous first-order evolution equations

Pierre Fabrie; Alain Miranville

doi:10.3934/dcds.1998.4.225

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1998, Volume 4, Issue 2: 225-240. Doi: 10.3934/dcds.1998.4.225

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Exponential attractors for nonautonomous first-order evolution equations

Pierre Fabrie^1, and
Alain Miranville^2,

1.
Université Bordeaux-I, Mathématiques Appliquées, 351 Cours de la Libération, 33405 Talence Cedex
2.
Université de Poitiers, Département de Mathématiques, 40 Avenue du Recteur Pineau, 86022 Poitiers Cedex

Received: October 1996

Revised: May 1997

Published: April 1998

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Abstract

Our aim in this article is to study the existence of exponential attractors for nonautonomous dissipative evolution equations. We follow the approach of Chepyzhov and Vishik, which consists in studying a semigroup on an extended space.

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Mathematics Subject Classification: Primary: 35B40, 35B45, 35Q30.

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