C 1 , θ -Estimates on the distance of inertial manifolds

C 1 , θ -Estimates on the distance of inertial manifolds

In this paper we obtain C1,θ-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 resolv...

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Bibliographic Details
Published in:Collectanea mathematica (Barcelona) Vol. 69; no. 3; pp. 315 - 336
Main Authors: Arrieta, José M, Santamaría, Esperanza
Format: Journal Article
Language:English
Published: Heidelberg Springer Nature B.V 01-01-2018
Subjects:
Manifolds
Mathematical analysis
Operators
Online Access:Get full text
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Summary:In this paper we obtain C1,θ-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.
ISSN:0010-0757
2038-4815
DOI:10.1007/s13348-018-0227-9