{"title":"Nonsymmetric Lévy-type operators","authors":"Jakub Minecki, Karol Szczypkowski","doi":"10.1002/mana.202300150","DOIUrl":null,"url":null,"abstract":"<p>We present a general approach to the parametrix construction. We apply it to prove the uniqueness and existence of a weak fundamental solution for the equation <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mi>∂</mi>\n <mi>t</mi>\n </msub>\n <mi>u</mi>\n <mo>=</mo>\n <mi>L</mi>\n <mi>u</mi>\n </mrow>\n <annotation>$\\partial _t u ={\\mathcal {L}}u$</annotation>\n </semantics></math> with nonsymmetric nonlocal operators\n\n </p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"297 6","pages":"2234-2286"},"PeriodicalIF":0.8000,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematische Nachrichten","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/mana.202300150","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We present a general approach to the parametrix construction. We apply it to prove the uniqueness and existence of a weak fundamental solution for the equation with nonsymmetric nonlocal operators
期刊介绍：
Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index
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