On the maximal regularity for perturbed autonomous and non-autonomous evolution equations
type: Item
instance of: scholarly article
title: On the maximal regularity for perturbed autonomous and non-autonomous evolution equations
zbMATH Open document ID: 1437.35436
author: Ahmed Amansag
author: Hamid Bounit
author: Abderrahim Driouich
author: Said Hadd
published in: Journal of Evolution Equations
publication date: 2020-04-15T00:00:00Z
review text: The authors study maximal \(L^p\)-regularity for some perturbed autonomous and non-autonomous evolution equations in Banach spaces adapting some ideas coming from systems theory. They analyse two classes of perturbations: Miyadera-Voigt perturbations and Desch-Schappacher perturbations and find some verifiable conditions for which the maximal \(L^p\)-regularity is preserved under these kinds of perturbations. An example of PDE in non-reflexive spaces is proposed in order to show the range of applications of their results.
reviewed by: Vincenzo Vespri
Mathematics Subject Classification ID: 35K90
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7189578
zbMATH Keywords: evolution equations
zbMATH Keywords: maximal regularity
zbMATH Keywords: Banach space
zbMATH Keywords: admissibility
zbMATH Keywords: perturbation
zbMATH Keywords: feedback theory
MaRDI profile type: Publication
full work available at URL: s00028-019-00514-8
OpenAlex ID: W2945657683
cites work: Perturbation of analytic semigroups and applications to partial differential equations
cites work: Q4327845
cites work: Bounded \(H_ \infty\)-calculus for elliptic operators
cites work: \(L^{p}\)-maximal regularity for nonautonomous evolution equations
cites work: Q3748642
cites work: Q4258125
cites work: Q3782288
cites work: Un'applicazione della teoria degli integrali singolari allo studio delle equazioni differenziali lineari astratte del primo ordine
cites work: ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
cites work: Maximal regularity in \(L^p\) spaces for an abstract Cauchy problem
cites work: One-Parameter Semigroups for Linear Evolution Equations
cites work: An Evolution Equation Approach to Nonautonomous Linear Systems with State, Input, and Output Delays
cites work: Unbounded perturbations of \(C_0\)-semigroups on Banach spaces and applications
cites work: On the admissibility of observation for perturbed \(\mathcal C_0\)-semigroups on Banach spaces
cites work: Unbounded perturbations of the generator domain
cites work: Perturbation, interpolation, and maximal regularity
cites work: Pseudo-differential operators and maximal regularity results for non-autonomous parabolic equations
cites work: Q4657003
cites work: Q4799222
cites work: THE WEISS CONJECTURE FOR BOUNDED ANALYTIC SEMIGROUPS
cites work: On the admissible control operators for linear and bilinear systems and the Favard spaces
cites work: On perturbation theory for semi-groups of operators
cites work: End-point maximal regularity and its application to two-dimensional Keller-Segel system
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Imaginary powers of elliptic second order differential operators in \(L^ p\)-spaces
cites work: Pseudodifferential operators on Bochner spaces and an application
cites work: Solvability and maximal regularity of parabolic evolution equations with coefficients continuous in time
cites work: An Introduction to Partial Differential Equations
cites work: Infinite Dimensional Linear Systems With Unbounded Control and Observation: A Functional Analytic Approach
cites work: Q4407529
cites work: Feedbacks for Nonautonomous Regular Linear Systems
cites work: Q4651859
cites work: Q3532992
cites work: On the perturbation theory for strongly continuous semigroups
cites work: A new approach to maximal \(L_p\)-regularity
cites work: Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
cites work: Admissible observation operators for linear semigroups
cites work: Admissibility of Unbounded Control Operators
cites work: Regular linear systems with feedback
Wikidata QID: Q127827673
DOI: 10.1007/S00028-019-00514-8
description: scientific article; zbMATH DE number 7189578