Nonlinear inverse problem for a higher-order parabolic equation
type: Item
instance of: scholarly article
title: Nonlinear inverse problem for a higher-order parabolic equation
zbMATH Open document ID: 0965.35182
published in: Computational Mathematics and Mathematical Physics
publication date: 2001-07-19T00:00:00Z
review text: The paper is devoted to the problem of the existence and uniqueness of a generalized solution to the inverse problem of determining the coefficient of the lowest term of a higher-order parabolic equation. Such problems often arise in mathematical physics in studying thermal and diffusion processes for the case when a part of the physical characteristics of the medium under study cannot be measured directly. In this case an overdetermination condition is set in the integral form. A local existence theorem and a global uniqueness theorem are proved for the solution to this problem.
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35G10
zbMATH DE Number: 1472993
zbMATH Keywords: coefficient identification
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: overdetermination condition
author: V. L. Kamynin
author: Maurizio Saroldi
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1472993