Maximal regularity for evolution problems on the line
type: Item
instance of: scholarly article
title: Maximal regularity for evolution problems on the line
zbMATH Open document ID: 1240.34280
author: Alessandro Zamboni
published in: Differential and Integral Equations
publication date: 2011-09-01T00:00:00Z
review text: From the introduction: We introduce various types of solutions of the abstract first-order evolution equation \[ u'(t)=Au(t)+f(t), \] and we recall the representation of the solutions in terms of the norms of the semigroups \((T^{\pm }(t))_{t>0},\) studying some of its properties. We prove the optimal regularity for the evolution problem to the above equation in various Banach spaces by the direct approach. The contents of this paper are part of the Ph.D. thesis of the author.
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 5944829
zbMATH Keywords: hyperbolic bisectorial operator
zbMATH Keywords: regularity
zbMATH Keywords: semigroup
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5944829