非对称莱维型算子

IF 0.8 3区数学 Q2 MATHEMATICS Mathematische Nachrichten Pub Date : 2024-04-11 DOI:10.1002/mana.202300150

Jakub Minecki, Karol Szczypkowski

{"title":"非对称莱维型算子","authors":"Jakub Minecki, Karol Szczypkowski","doi":"10.1002/mana.202300150","DOIUrl":null,"url":null,"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 <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 ","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":"{\"title\":\"Nonsymmetric Lévy-type operators\",\"authors\":\"Jakub Minecki, Karol Szczypkowski\",\"doi\":\"10.1002/mana.202300150\",\"DOIUrl\":null,\"url\":null,\"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 <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 \",\"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}","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

摘要

我们介绍了参数矩阵构造的一般方法。我们将其应用于证明非对称非局部算子方程的弱基本解的唯一性和存在性，前提是关于、、和的某些假设。这一结果甚至允许......的系数更为宽泛。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Nonsymmetric Lévy-type operators

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 $\partial_{t} u = L u$ with nonsymmetric nonlocal operators

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

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

期刊最新文献

Contents Issue Information Restricting Green potentials on metric measure spaces Projective and affine structures in positive characteristic I: Chern class formulas and characterizations of projective spaces Approximation of Dirac operators with δ-shell potentials in the norm resolvent sense, II: Quantitative results