{"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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/mana.202300150","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","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
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