On uniqueness in inverse problems for semilinear parabolic equations
type: Item
instance of: scholarly article
title: On uniqueness in inverse problems for semilinear parabolic equations
zbMATH Open document ID: 0804.35150
DOI: 10.1007/BF00392201
published in: Archive for Rational Mechanics and Analysis
publication date: 1994-01-04T00:00:00Z
review text: Using his results on completeness of products of solutions of parabolic equations and a linearization method, the author proves uniqueness theorems for the term \(a = a(x,u)\) of the semilinear parabolic equation \(u_ t - \Delta u + a(x,u) = 0\), given results on all possible (lateral) boundary measurements. It is emphasized that the problem considered is multidimensional.
reviewed by: Dang Dinh Ang
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 474498
zbMATH Keywords: uniqueness
zbMATH Keywords: lateral measurements
author: Victor Isakov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 474498