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

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

ISSN: 0010-0757

Datum der Publikation: 2018

Ausgabe: 69

Faszikel: 3

Seiten: 315-336

Art: Artikel

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

Andere Publikationen in: Collectanea mathematica

Zusammenfassung

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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