On an inverse problem of reconstructing a heat conduction process from nonlocal data
type: Item
instance of: scholarly article
title: On an inverse problem of reconstructing a heat conduction process from nonlocal data
zbMATH Open document ID: 1440.80001
DOI: 10.1155/2018/8301656
author: Makhmud A. Sadybekov
author: Gulnar Dildabek
author: Marina B. Ivanova
published in: Advances in Mathematical Physics
publication date: 2018-12-11T00:00:00Z
review text: Summary: We consider an inverse problem for a one-dimensional heat equation with involution and with periodic boundary conditions with respect to a space variable. This problem simulates the process of heat propagation in a thin closed wire wrapped around a weakly permeable insulation. The inverse problem consists in the restoration (simultaneously with the solution) of an unknown right-hand side of the equation, which depends only on the spatial variable. The conditions for redefinition are initial and final states. Existence and uniqueness results for the given problem are obtained via the method of separation of variables.
Mathematics Subject Classification ID: 80A23
Mathematics Subject Classification ID: 35Q79
Mathematics Subject Classification ID: 35R30
zbMATH DE Number: 6992030
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/8301656
OpenAlex ID: W2807868016
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description: scientific article; zbMATH DE number 6992030