{"title":"楔形唯一性下的非平稳Sommerfeld衍射问题的适定性","authors":"A. Merzon","doi":"10.1109/DD.2003.238228","DOIUrl":null,"url":null,"abstract":"In this paper, we consider a nonstationary scattering of plane waves by a wedge. We prove uniqueness of solution to the Cauchy problem in appropriate functional spaces and we give the Sommerfeld-type representation of solution developing method of complex characteristics.","PeriodicalId":332604,"journal":{"name":"International Seminar Day on Diffraction, 2003. Proceedings.","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"13","resultStr":"{\"title\":\"Well-posedness of the problem of nonstationary diffraction of Sommerfeld on a wedge uniqueness\",\"authors\":\"A. Merzon\",\"doi\":\"10.1109/DD.2003.238228\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider a nonstationary scattering of plane waves by a wedge. We prove uniqueness of solution to the Cauchy problem in appropriate functional spaces and we give the Sommerfeld-type representation of solution developing method of complex characteristics.\",\"PeriodicalId\":332604,\"journal\":{\"name\":\"International Seminar Day on Diffraction, 2003. Proceedings.\",\"volume\":\"22 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-06-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"13\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Seminar Day on Diffraction, 2003. Proceedings.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DD.2003.238228\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Seminar Day on Diffraction, 2003. Proceedings.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD.2003.238228","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Well-posedness of the problem of nonstationary diffraction of Sommerfeld on a wedge uniqueness
In this paper, we consider a nonstationary scattering of plane waves by a wedge. We prove uniqueness of solution to the Cauchy problem in appropriate functional spaces and we give the Sommerfeld-type representation of solution developing method of complex characteristics.
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