Inverse coefficient problems for mathematical models of one-dimensional heat transfer with a generalized condition of preservation of medium temperature

Durvudkhan Suragan, Gulaiym Oralsyn

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this short note we study an inverse problem for the heat equation which is motivated by some mathematical models describing the process of heat transfer in a homogeneous bar with the prescribed law of changes of the average temperature. It is proved that the considered inverse problem has a unique generalized solution. The main difficulty of solving this type of problems is that the system of eigenfunctions of the multiple differentiation operator subject to boundary conditions of the initial problem does not have the basis property.

Original languageEnglish
Title of host publicationApplications of Mathematics in Engineering and Economics, AMEE 2016
Subtitle of host publicationProceedings of the 42nd International Conference on Applications of Mathematics in Engineering and Economics
EditorsVesela Pasheva, George Venkov, Nedyu Popivanov
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735414532
DOIs
Publication statusPublished - Dec 16 2016
Externally publishedYes
Event42nd International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2016 - Sozopol, Bulgaria
Duration: Jun 8 2016Jun 13 2016

Publication series

NameAIP Conference Proceedings
Volume1789
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference42nd International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2016
Country/TerritoryBulgaria
CitySozopol
Period6/8/166/13/16

ASJC Scopus subject areas

  • General Physics and Astronomy

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