{"title":"Semilinear Schrödinger equations with a potential of some critical inverse-square type","authors":"Toshiyuki Suzuki","doi":"10.1016/j.jde.2019.11.087","DOIUrl":null,"url":null,"abstract":"<div><p><span>We solve semilinear<span> Schrödinger equations with a singular potential of inverse-square scale, especially the threshold of </span></span>nonnegativity and selfadjointness.</p></div>","PeriodicalId":15623,"journal":{"name":"Journal of Differential Equations","volume":"268 12","pages":"Pages 7629-7668"},"PeriodicalIF":2.4000,"publicationDate":"2020-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jde.2019.11.087","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022039619306217","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 5
Abstract
We solve semilinear Schrödinger equations with a singular potential of inverse-square scale, especially the threshold of nonnegativity and selfadjointness.
期刊介绍：
The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools.
Research Areas Include:
• Mathematical control theory
• Ordinary differential equations
• Partial differential equations
• Stochastic differential equations
• Topological dynamics
• Related topics
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