On a counterexample of inverse parabolic problems with final overdetermination
type: Item
instance of: scholarly article
title: On a counterexample of inverse parabolic problems with final overdetermination
zbMATH Open document ID: 1301.35211
DOI: 10.1134/S1064562413060240
author: N. L. Gol'dman
published in: Doklady Mathematics
publication date: 2014-08-29T00:00:00Z
review text: The author states that \textit{V. Isakov}'s counterexample [Commun. Pure Appl. Math. 44, No. 2, 185--209 (1991; Zbl 0729.35146)] on the existence of a function \(\alpha\) with certain properties for which the uniqueness of a solution to the inverse problem of determining the function \(f(x)\) from the system \(u_t - u_{xx} = \alpha(x,t)f(x), (x,t) \in (0,1)\times (0,T), u(0,t) = u(1,t) = 0, 0 < t \leq T, u(x,0) = 0, u(x,T) = 0, 0 \leq x \leq 1\) fails.
reviewed by: Dinh Nho Hào
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35K10
zbMATH DE Number: 6336242
zbMATH Keywords: inverse problems
zbMATH Keywords: parabolic equations
zbMATH Keywords: counterexample
MaRDI profile type: Publication
Wikidata QID: Q125018439
cites work: Inverse parabolic problems with the final overdetermination
cites work: Q5542541
cites work: Q4256419
cites work: Q4344106
cites work: Properties of solutions of parabolic equations with unknown right-hand side and adjoint problems
cites work: Uniqueness of determination of a source function in a quasilinear inverse Stefan problem with final observation
description: scientific article; zbMATH DE number 6336242