{"title":"SPECTRA OF NONLINEAR DIFFERENTIAL EQUATIONS AND WIDTHS OF SOBOLEV CLASSES","authors":"A. Buslaev, V. Tikhomirov","doi":"10.1070/SM1992V071N02ABEH001404","DOIUrl":null,"url":null,"abstract":"The authors study the problem of Kolmogorov widths of Sobolev classes Wpr([0, 1]) of functions in the Lq-metric, p ≥ q, and the connected questions of the existence and uniqueness of the spectra of nonlinear equations.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"44 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"36","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-sbornik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/SM1992V071N02ABEH001404","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 36
Abstract
The authors study the problem of Kolmogorov widths of Sobolev classes Wpr([0, 1]) of functions in the Lq-metric, p ≥ q, and the connected questions of the existence and uniqueness of the spectra of nonlinear equations.
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