{"title":"退化各向同性情况下的抛物传输无特征值区域","authors":"G. Vodev","doi":"10.3233/ASY-171443","DOIUrl":null,"url":null,"abstract":"We study the location of the transmission eigenvalues in the isotropic case when the restrictions of the refraction indices on the boundary coincide. Under some natural conditions we show that there exist parabolic transmission eigenvalue-free regions.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"1 1","pages":"147-168"},"PeriodicalIF":0.0000,"publicationDate":"2017-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"Parabolic transmission eigenvalue-free regions in the degenerate isotropic case\",\"authors\":\"G. Vodev\",\"doi\":\"10.3233/ASY-171443\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the location of the transmission eigenvalues in the isotropic case when the restrictions of the refraction indices on the boundary coincide. Under some natural conditions we show that there exist parabolic transmission eigenvalue-free regions.\",\"PeriodicalId\":8603,\"journal\":{\"name\":\"Asymptot. Anal.\",\"volume\":\"1 1\",\"pages\":\"147-168\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-02-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asymptot. Anal.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3233/ASY-171443\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asymptot. Anal.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3233/ASY-171443","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Parabolic transmission eigenvalue-free regions in the degenerate isotropic case
We study the location of the transmission eigenvalues in the isotropic case when the restrictions of the refraction indices on the boundary coincide. Under some natural conditions we show that there exist parabolic transmission eigenvalue-free regions.
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