C^1,θ-Estimates on the distance of Inertial Manifolds

2017/04/10 by José M. Arrieta, Arrieta, José M., Esperanza Santamaría +1
Computer Science · Engineering · Mathematics · Physics and Astronomy · #35B42 #35K90 #Advanced Differential Geometry Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1704.03017

openalex publication_date 2017/04/10 · openalex created_date 2022/09/01 · openalex updated_date 2026/07/28

Abstract

In this paper we obtain C^1,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.

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