{"title":"Some new methods for studying boundary value problems for general partial differential equations","authors":"V. P. Burskii","doi":"10.1134/S0040577924010033","DOIUrl":null,"url":null,"abstract":"<p> We consider methods for studying boundary value problems for linear partial differential equations in a domain regardless of the type of the equation. We propose several methods for studying boundary value problems, typically based on the Green’s formula. Our previous publications were devoted to these methods, and we present these results in a summarized form in this paper. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"218 1","pages":"41 - 50"},"PeriodicalIF":1.1000,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical and Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S0040577924010033","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
We consider methods for studying boundary value problems for linear partial differential equations in a domain regardless of the type of the equation. We propose several methods for studying boundary value problems, typically based on the Green’s formula. Our previous publications were devoted to these methods, and we present these results in a summarized form in this paper.
期刊介绍：
Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems.
Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.
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