The fundamental operator functions of degenerate heat equations in Banach spaces
type: Item
instance of: scholarly article
title: The fundamental operator functions of degenerate heat equations in Banach spaces
zbMATH Open document ID: 1161.46022
DOI: 10.1134/S1064562407050328
published in: Doklady Mathematics
publication date: 2008-12-01T00:00:00Z
review text: From the author's abstract: We construct generalized solutions to heat equations of the form \[ B\,\frac{\partial u(t,x)}{\partial t}-A\Delta u(t,x)=f(t,x),\quad t\in\mathbb R^1_+,\;x\in\mathbb R^n, \] where \(A\) and \(B\) are closed linear operators from \(E_1\) to \(E_2\) with dense domains, \(D(B)\subset D(A)\), \(E_1\) and \(E_2\) are Banach spaces, and the operator \(B\) is noninvertible.
reviewed by: Josef Wloka
Mathematics Subject Classification ID: 46F99
Mathematics Subject Classification ID: 35R15
zbMATH DE Number: 5375907
author: Mikhail Valentinovich Falaleev
MaRDI profile type: Publication
cites work: Q3662131
cites work: Q4707665
cites work: Fundamental operator functions of singular differential operators under spectral boundedness conditions
cites work: Q5182723
description: scientific article; zbMATH DE number 5375907