Journal of Mathematical Sciences-The University of Tokyo最新文献

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Cohomotopy invariants and the universal cohomotopy invariant jump formula 上同伦不变量和普适上同伦不变量跳跃公式
Journal of Mathematical Sciences-The University of Tokyo Pub Date : 2007-04-19 DOI: 10.5167/UZH-21451
C. Okonek, A. Teleman
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引用次数: 5
Scattering Theory for the Coupled Klein-Gordon-Schrödinger Equations in Two Space Dimensions 二维耦合Klein-Gordon-Schrödinger方程的散射理论
Journal of Mathematical Sciences-The University of Tokyo Pub Date : 2005-06-01 DOI: 10.14492/hokmj/1285766230
A. Shimomura
{"title":"Scattering Theory for the Coupled Klein-Gordon-Schrödinger Equations in Two Space Dimensions","authors":"A. Shimomura","doi":"10.14492/hokmj/1285766230","DOIUrl":"https://doi.org/10.14492/hokmj/1285766230","url":null,"abstract":"We study the scattering theory for the coupled Klein- Gordon-Schrodinger equation with the Yukawa type interaction in two space dimensions.The scattering problem for this equation belongs to the borderline between the short range case and the long range one. We show the existence of the wave operators to this equation without any size restriction on the Klein-Gordon component of the final state. 2 . (KGS) Here u and v are complex and real valued unknown functions of (t, x) ∈ R × R 2 , respectively.In the present paper, we prove the existence of the wave operators to the equation (KGS) without any size restriction on the Klein-Gordon component of the final state. A large amount of work has been devoted to the asymptotic behavior of solutions for the nonlinear Schrodinger equation and for the nonlinear Klein- Gordon equation.We consider the scattering theory for systems centering on the Schrodinger equation, in particular, the Klein-Gordon-Schrodinger, the Wave-Schrodinger and the Maxwell-Schrodinger equations.In the scat- tering theory for the linear Schrodinger equation, (ordinary) wave operators","PeriodicalId":50143,"journal":{"name":"Journal of Mathematical Sciences-The University of Tokyo","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2005-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91389088","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}
引用次数: 18
A Filtering Model on Default Risk 违约风险的过滤模型
Journal of Mathematical Sciences-The University of Tokyo Pub Date : 2001-01-01 DOI: 10.5687/sss.2001.231
H. Nakagawa
{"title":"A Filtering Model on Default Risk","authors":"H. Nakagawa","doi":"10.5687/sss.2001.231","DOIUrl":"https://doi.org/10.5687/sss.2001.231","url":null,"abstract":"In this paper, we present a filtering model on a default risk related to mathematical finance. We regard as the time when a default occurs the first hitting time at zero of a one dimensional process which starts at some positive number and is not directly observed. We discuss the conditional law of the hitting time under imperfect information. We use the reference measure change technique and a new formula on a kind of conditional expectation to obtain a so-called hazard rate process. It is also discussed what the relation between the hazard rate process and the conditional law of the hitting time is like.","PeriodicalId":50143,"journal":{"name":"Journal of Mathematical Sciences-The University of Tokyo","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2001-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73051670","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}
引用次数: 25
Stokes Operators for Microhyperbolic Equations 微双曲方程的Stokes算子
Journal of Mathematical Sciences-The University of Tokyo Pub Date : 1997-01-01 DOI: 10.1007/978-4-431-68413-8_6
Keisuke Uchikoshi
{"title":"Stokes Operators for Microhyperbolic Equations","authors":"Keisuke Uchikoshi","doi":"10.1007/978-4-431-68413-8_6","DOIUrl":"https://doi.org/10.1007/978-4-431-68413-8_6","url":null,"abstract":"","PeriodicalId":50143,"journal":{"name":"Journal of Mathematical Sciences-The University of Tokyo","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1997-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80469526","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}
引用次数: 1
On Continuation of Gevrey Class Solutions of Linear Partial Differential Equations 线性偏微分方程Gevrey类解的延拓
Journal of Mathematical Sciences-The University of Tokyo Pub Date : 1997-01-01 DOI: 10.1515/9783112319185-027
Akira Kaneko
{"title":"On Continuation of Gevrey Class Solutions of Linear Partial Differential Equations","authors":"Akira Kaneko","doi":"10.1515/9783112319185-027","DOIUrl":"https://doi.org/10.1515/9783112319185-027","url":null,"abstract":"Dedicated to Professor Hikosaburo KOMATSU for his 60-th anniversary Abstract. We give a sufficient condition for the removability of thin singularities of Gevrey class solutions of linear partial differential equations. In §1we give a sufficient condition for the removability in the case of equations with constant coefficients. Then in §2 we discuss the necessity of the condition and construct non-trivial solutions with irremovable thin singularities for some class of equations. In §3 we give a sufficient condition for the removability of thin singularities of Gevrey class solutions in the case of equations with real analytic coefficients. In this article, we gather results on continuation to thin singularity (or removability of thin singularities) of Gevrey class solutions to linear par- tial differential equations. Some of the results given here are easily derived from Grushin's pioneering works on continuation of C ∞ solutions and from the author's former works on continuation of regular solutions. But it will be worth gathering them all to an article, because they may not be ob- vious for the readers who are not specialized in this subject. Moreover it will be adequate to dedicate this to Professor Hikosaburo Komatsu, who devoted his half carreer to the study of ultra-differentiable functions and ultradistributions. Here is a brief plan of the present article. The first two sections treat equations with constant coefficients. In §1we give a sufficient condition for","PeriodicalId":50143,"journal":{"name":"Journal of Mathematical Sciences-The University of Tokyo","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1997-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90149164","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}
引用次数: 1
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