An inverse problem for a pseudoparabolic integro-differential operator equation
type: Item
instance of: scholarly article
title: An inverse problem for a pseudoparabolic integro-differential operator equation
zbMATH Open document ID: 0853.35130
DOI: 10.1007/BF02107322
author: Yanyan Li
published in: Siberian Mathematical Journal
publication date: 1997-01-05T00:00:00Z
review text: The authors consider some inverse problem for a pseudoparabolic differential operator equation. They prove existence and uniqueness theorems and obtain a stability estimate. Similar questions for parabolic and hyperbolic integro-differential equations were studied in [\textit{A. Lorenzi} and \textit{E. Sinestrari}, Nonlinear Anal., Theor. Methods Appl. 12, No. 12, 1317-1335 (1988; Zbl 0673.45010), \textit{M. Grasselli}, \textit{S. I. Kabanikhin} and \textit{A. Lorenzi}, Sib. Mat. Zh. 33, No. 3, 58-68 (1992; Zbl 0787.46006)]. However, these methods are not applicable to the parabolic equation under consideration. The authors consider the problem with an extra condition of special form which allows them to reduce the inverse problem in question to a nonlinear Volterra operator equation of the second kind.
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35K70
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 923533
zbMATH Keywords: inverse problem for a pseudoparabolic differential operator equation
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: stability estimate
zbMATH Keywords: nonlinear Volterra operator equation of the second kind
Wikidata QID: Q115392759
MaRDI profile type: Publication
cites work: ON THE ANALYTIC THEORY OF PSEUDOPARABOLIC EQUATIONS
cites work: Parabolic and pseudo-parabolic partial differential equations
cites work: Q3697429
cites work: An inverse problem in the theory of materials with memory
cites work: Q3362786
cites work: Q4040640
full work available at URL: https://doi.org/10.1007/bf02107322
OpenAlex ID: W2163146721
description: scientific article; zbMATH DE number 923533