{"title":"违反因果关系的波的扩散","authors":"Alain Bachelot","doi":"10.1016/S0764-4442(01)02193-0","DOIUrl":null,"url":null,"abstract":"<div><p>We introduce a class of four dimensional Lorentzian manifolds with closed curves of null type or timelike. We investigate some global problems for the wave equation: global Cauchy problem and asymptotic completeness of the wave operators for the chronological but non-causal metrics; uniqueness of solution with data on a changing type hypersurface; existence of resonant states; scattering by a violation of the chronology; poles of the scattering matrix.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 12","pages":"Pages 1065-1068"},"PeriodicalIF":0.0000,"publicationDate":"2001-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02193-0","citationCount":"0","resultStr":"{\"title\":\"Diffusion des ondes par une violation de la causalité\",\"authors\":\"Alain Bachelot\",\"doi\":\"10.1016/S0764-4442(01)02193-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We introduce a class of four dimensional Lorentzian manifolds with closed curves of null type or timelike. We investigate some global problems for the wave equation: global Cauchy problem and asymptotic completeness of the wave operators for the chronological but non-causal metrics; uniqueness of solution with data on a changing type hypersurface; existence of resonant states; scattering by a violation of the chronology; poles of the scattering matrix.</p></div>\",\"PeriodicalId\":100300,\"journal\":{\"name\":\"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics\",\"volume\":\"333 12\",\"pages\":\"Pages 1065-1068\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-12-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02193-0\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0764444201021930\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0764444201021930","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Diffusion des ondes par une violation de la causalité
We introduce a class of four dimensional Lorentzian manifolds with closed curves of null type or timelike. We investigate some global problems for the wave equation: global Cauchy problem and asymptotic completeness of the wave operators for the chronological but non-causal metrics; uniqueness of solution with data on a changing type hypersurface; existence of resonant states; scattering by a violation of the chronology; poles of the scattering matrix.
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