{"title":"一类变阶伪微分算子的边值问题代数","authors":"S. Levendorskii","doi":"10.1070/IM1992V038N01ABEH002190","DOIUrl":null,"url":null,"abstract":"An algebra is constructed containing the operators of boundary value problems for pseudodifferential operators which are formally hypoelliptic in the sense of Hormander and elliptic at points of the boundary; parametrices for these boundary value problems are also constructed. The Fredholm property is demonstrated in a scale of weighted spaces, based on Lp, 1","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"AN ALGEBRA OF BOUNDARY VALUE PROBLEMS FOR A CLASS OF PSEUDODIFFERENTIAL OPERATORS OF VARIABLE ORDER\",\"authors\":\"S. Levendorskii\",\"doi\":\"10.1070/IM1992V038N01ABEH002190\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An algebra is constructed containing the operators of boundary value problems for pseudodifferential operators which are formally hypoelliptic in the sense of Hormander and elliptic at points of the boundary; parametrices for these boundary value problems are also constructed. The Fredholm property is demonstrated in a scale of weighted spaces, based on Lp, 1\",\"PeriodicalId\":159459,\"journal\":{\"name\":\"Mathematics of The Ussr-izvestiya\",\"volume\":\"27 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-02-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-izvestiya\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/IM1992V038N01ABEH002190\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1992V038N01ABEH002190","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
AN ALGEBRA OF BOUNDARY VALUE PROBLEMS FOR A CLASS OF PSEUDODIFFERENTIAL OPERATORS OF VARIABLE ORDER
An algebra is constructed containing the operators of boundary value problems for pseudodifferential operators which are formally hypoelliptic in the sense of Hormander and elliptic at points of the boundary; parametrices for these boundary value problems are also constructed. The Fredholm property is demonstrated in a scale of weighted spaces, based on Lp, 1
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