{"title":"Outgoing Solutions Via Gevrey-2 Properties","authors":"Jeffrey Galkowski, Maciej Zworski","doi":"10.1007/s40818-021-00094-2","DOIUrl":null,"url":null,"abstract":"<div><p>Gajic–Warnick [8] have recently proposed a definition of scattering resonances based on Gevrey-2 regularity at infinity and introduced a new class of potentials for which resonances can be defined. We show that standard methods based on complex scaling apply to a larger class of potentials and provide a definition of resonances in wider angles.</p></div>","PeriodicalId":36382,"journal":{"name":"Annals of Pde","volume":"7 1","pages":""},"PeriodicalIF":2.4000,"publicationDate":"2021-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40818-021-00094-2","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Pde","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s40818-021-00094-2","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 8
Abstract
Gajic–Warnick [8] have recently proposed a definition of scattering resonances based on Gevrey-2 regularity at infinity and introduced a new class of potentials for which resonances can be defined. We show that standard methods based on complex scaling apply to a larger class of potentials and provide a definition of resonances in wider angles.
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