{"title":"Singular perturbation of domains and semilinear elliptic equation","authors":"S. Jimbo","doi":"10.14492/hokmj/1285765995","DOIUrl":"https://doi.org/10.14492/hokmj/1285765995","url":null,"abstract":"We consider a (parametrized) bounded domain, some portion of which degenerates and approaches a lower dimensional set when the parameter goes to zero. We consider semilinear elliptic equation with Neumann B.C. in this domain and the behavior of the solutions in the limit. We give a characterization for the solutions in the sense of uniform convergence.","PeriodicalId":320896,"journal":{"name":"Journal of the Faculty of Science. University of Tokyo. Section IA. Mathematics","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115782944","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Stochastic differential equation corresponding to the spatially homogeneous Boltzmann equation of Maxwellian and non-cutoff type","authors":"Hiroshi Tanaka","doi":"10.1142/9789812778550_0021","DOIUrl":"https://doi.org/10.1142/9789812778550_0021","url":null,"abstract":"","PeriodicalId":320896,"journal":{"name":"Journal of the Faculty of Science. University of Tokyo. Section IA. Mathematics","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114328057","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Shintani descent for exceptional groups over a finite field","authors":"T. Shoji","doi":"10.1090/pspum/047.2/933419","DOIUrl":"https://doi.org/10.1090/pspum/047.2/933419","url":null,"abstract":"","PeriodicalId":320896,"journal":{"name":"Journal of the Faculty of Science. University of Tokyo. Section IA. Mathematics","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124481024","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Applications of the Malliavin calculus, Part III","authors":"S. Kusuoka","doi":"10.1016/S0924-6509(08)70397-0","DOIUrl":"https://doi.org/10.1016/S0924-6509(08)70397-0","url":null,"abstract":"","PeriodicalId":320896,"journal":{"name":"Journal of the Faculty of Science. University of Tokyo. Section IA. Mathematics","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121713835","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}