{"title":"Benjamin-Ono方程在Colombeau意义下的广义解。","authors":"Xiao-gang Jin, Jian-gang Yang, Jie Lin","doi":"10.1631/jzus.2004.1466","DOIUrl":null,"url":null,"abstract":"<p><p>This paper discusses the existence and uniqueness of the generalized solution in the sense of Colombeau to the Benjamin-Ono (B-O) equation and the relationship between the new generalized solution and the classical solution.</p>","PeriodicalId":85042,"journal":{"name":"Journal of Zhejiang University. Science","volume":"5 11","pages":"1466-70"},"PeriodicalIF":0.0000,"publicationDate":"2004-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1631/jzus.2004.1466","citationCount":"0","resultStr":"{\"title\":\"Generalized solutions to the Benjamin-Ono equations in sense of Colombeau.\",\"authors\":\"Xiao-gang Jin, Jian-gang Yang, Jie Lin\",\"doi\":\"10.1631/jzus.2004.1466\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>This paper discusses the existence and uniqueness of the generalized solution in the sense of Colombeau to the Benjamin-Ono (B-O) equation and the relationship between the new generalized solution and the classical solution.</p>\",\"PeriodicalId\":85042,\"journal\":{\"name\":\"Journal of Zhejiang University. Science\",\"volume\":\"5 11\",\"pages\":\"1466-70\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1631/jzus.2004.1466\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Zhejiang University. Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1631/jzus.2004.1466\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Zhejiang University. Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1631/jzus.2004.1466","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Generalized solutions to the Benjamin-Ono equations in sense of Colombeau.
This paper discusses the existence and uniqueness of the generalized solution in the sense of Colombeau to the Benjamin-Ono (B-O) equation and the relationship between the new generalized solution and the classical solution.
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