Semigroups of operators and second-order Cauchy problems
type: Item
instance of: scholarly article
title: Semigroups of operators and second-order Cauchy problems
zbMATH Open document ID: 0557.47028
DOI: 10.1007/BF02572658
author: D. Kharzeev
published in: Semigroup Forum
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/134755
review text: Let A be the infinitesimal generator of a semigroup \(\{\) T(t)\(\}\) of operators in a Banach space X. Conditions are given which imply that \(u(t)=T(t)x\) is the only solution of the Cauchy problem \(u''(t)=A^ 2u(t),\quad u(0)=x\) that satisfies one of the conditions \(u(\infty -)=0\) or \(u(t)=O(1)\) at \(\infty\).
Mathematics Subject Classification ID: 47D03
zbMATH DE Number: 3888385
zbMATH Keywords: second-order Cauchy problems
zbMATH Keywords: infinitesimal generator of a
zbMATH Keywords: semigroup of operators in a Banach space
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3888385