Analytic semigroups with kernel and linear equations of Sobolev type
type: Item
instance of: scholarly article
title: Analytic semigroups with kernel and linear equations of Sobolev type
zbMATH Open document ID: 0958.47019
DOI: 10.1007/BF02112539
published in: Siberian Mathematical Journal
publication date: 2000-09-05T00:00:00Z
review text: Let \(U\) and \(F\) be Banach spaces, \(L\in{\mathcal L}(U,F)\) a bounded operator and \(M\) a densely defined closed operator on \(U\) with values in \(F\). The authors studies the following linear equation of Sobolev type \[ L\dot u= Mu. \] They determine conditions under which for a gaiven pair of analytic semigroups of operators with kernels there exists a pair of operators \(L\) and \(M\) generating these semigroups.
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 47B34
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 34G10
zbMATH DE Number: 923566
zbMATH Keywords: semigroups with kernel
zbMATH Keywords: linear equations of Sobolev type
author: Georgiĭ Anatol'evich Sviridyuk
author: Vladimir E. Fedorov
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02112539
OpenAlex ID: W1994046254
description: scientific article; zbMATH DE number 923566