{"title":"Solvability Analysis of Problems of Determining External\nInfluence of Combined Type in Processes Described\nby Parabolic Equations","authors":"A. I. Kozhanov, G. V. Namsaraeva","doi":"10.1134/S1990478924020108","DOIUrl":null,"url":null,"abstract":"<p> The aim of this paper is to study the solvability of inverse problems of determining,\ntogether with the solution of the heat equation, its right-hand side or an unknown external\ninfluence. The specific feature of the problems studied is that the unknown external influence is\ndetermined by two functions of which one depends only on the spatial variable and the other, only\non the time variable.\n</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 2","pages":"282 - 293"},"PeriodicalIF":0.5800,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied and Industrial Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S1990478924020108","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
The aim of this paper is to study the solvability of inverse problems of determining,
together with the solution of the heat equation, its right-hand side or an unknown external
influence. The specific feature of the problems studied is that the unknown external influence is
determined by two functions of which one depends only on the spatial variable and the other, only
on the time variable.
期刊介绍：
Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.
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