?1,?-Estimates on the distance of inertial manifolds

  1. José M. Arrieta
  2. Esperanza Santamaría Martín
Journal:
Collectanea mathematica

ISSN: 0010-0757

Year of publication: 2018

Volume: 69

Fascicle: 3

Pages: 315-336

Type: Article

DOI: 10.1007/S13348-018-0227-9 DIALNET GOOGLE SCHOLAR lock_openOpen access editor

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Abstract

In this paper we obtain �1,� -estimates on the distance of inertial manifolds for dynamical systems generated by evolutionary parabolic type equations. We consider the situation where the systems are defined in different phase spaces and we estimate the distance in terms of the distance of the resolvent operators of the corresponding elliptic operators and the distance of the nonlinearities of the equations.

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