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TEICHMÜLLER POLYNOMIALS OF FIBERED ALTERNATING LINKS TeichmÜller纤维交变链路的多项式
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2016-11-17 DOI: 10.18910/73628
Robert Billet, L. Liechti
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引用次数: 3
The homotopy fixed point sets of spheres actions on rational complexes 球的同伦不动点集作用于有理复上
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2016-10-01 DOI: 10.18910/58892
Yanlong Hao, X. Liu, Qianwen Sun
{"title":"The homotopy fixed point sets of spheres actions on rational complexes","authors":"Yanlong Hao, X. Liu, Qianwen Sun","doi":"10.18910/58892","DOIUrl":"https://doi.org/10.18910/58892","url":null,"abstract":": In this paper, we describe the homotopy type of the homotopy fixed point sets of S 3 -actions on rational spheres and complex projective spaces, and provide some properties of S 1 -actions on a general rational complex.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2016-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67876438","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Ill-posedness issue for the drift diffusion system in the homogeneous Besov spaces 齐次Besov空间中漂移扩散系统的病态问题
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2016-10-01 DOI: 10.18910/58903
T. Iwabuchi, T. Ogawa
{"title":"Ill-posedness issue for the drift diffusion system in the homogeneous Besov spaces","authors":"T. Iwabuchi, T. Ogawa","doi":"10.18910/58903","DOIUrl":"https://doi.org/10.18910/58903","url":null,"abstract":"","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2016-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67877532","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
Conjugacy class and discreteness in $mathit{SL}(2, mathbb{C})$ $mathit{SL}(2， mathbb{C})$中的共轭类和离散性
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2016-10-01 DOI: 10.18910/58891
Shihai Yang, Tie-hong Zhao
{"title":"Conjugacy class and discreteness in $mathit{SL}(2, mathbb{C})$","authors":"Shihai Yang, Tie-hong Zhao","doi":"10.18910/58891","DOIUrl":"https://doi.org/10.18910/58891","url":null,"abstract":"","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2016-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67876233","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A pairwise independent random sampling method in the ring of $p$-adic integers $p$-进整数环上的一对独立随机抽样方法
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2016-07-01 DOI: 10.18910/58869
H. Kaneko, H. Matsumoto
{"title":"A pairwise independent random sampling method in the ring of $p$-adic integers","authors":"H. Kaneko, H. Matsumoto","doi":"10.18910/58869","DOIUrl":"https://doi.org/10.18910/58869","url":null,"abstract":"Abstract For the ring ofp-adic integers,p being a fixed prime, any sequence which plays a similar role to Weyl’s irrational rotation has not been pro posed yet. We will see that a modifiedp-adic van der Corput sequence provides us with a reasonable c ounterpart of Weyl’s irrational rotation in the ring. We will pr esent a similar random Weyl sampling on the ring to the one proposed by Sugita and Tak anobu. In the process of establishing the counterpart, a sampling method bas ed on a function with naturally extended domain to the field of p-adic numbers in terms of the additive characters will be mentioned.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2016-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67875053","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
BEHAVIOR OF SOLUTIONS FOR RADIALLY SYMMETRIC SOLUTIONS FOR BURGERS EQUATION WITH A BOUNDARY CORRESPONDING TO THE RAREFACTION WAVE 边界对应于稀疏波的burgers方程径向对称解的解的性质
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2016-07-01 DOI: 10.18910/58900
Itsuko Hashimoto
{"title":"BEHAVIOR OF SOLUTIONS FOR RADIALLY SYMMETRIC SOLUTIONS FOR BURGERS EQUATION WITH A BOUNDARY CORRESPONDING TO THE RAREFACTION WAVE","authors":"Itsuko Hashimoto","doi":"10.18910/58900","DOIUrl":"https://doi.org/10.18910/58900","url":null,"abstract":"Abstract We investigate the large-time behavior of the radially symm etric solution for Burgers equation on the exterior of a small ball in multi-dim ensional space, where the boundary data and the data at the far field are prescribed. In a previous paper [1], we showed that, for the case in which the boundary data is equal to 0 or negative, the asymptotic stability is the same as that for the vis cou conservation law. In the present paper, it is proved that if the boundary data is po sitive, the asymptotic state is a superposition of the stationary wave and the raref action wave, which is a new wave phenomenon. The proof is given using a standard L2 energy method and the characteristic curve method.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2016-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67877340","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
A NOTE ON THE EXPONENTIAL DECAY FOR THE NONLINEAR SCHRÖDINGER EQUATION 关于非线性schrÖdinger方程的指数衰减的注释
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2016-07-01 DOI: 10.18910/58893
F. Natali
{"title":"A NOTE ON THE EXPONENTIAL DECAY FOR THE NONLINEAR SCHRÖDINGER EQUATION","authors":"F. Natali","doi":"10.18910/58893","DOIUrl":"https://doi.org/10.18910/58893","url":null,"abstract":"","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2016-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67876559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
E-polynomials of $mathrm{SL}(2, mathbb{C})$-character varieties of complex curves of genus $3$ $ mathm {SL}(2， mathbb{C})$的e -多项式- $3$属的复曲线的字符变体
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2016-07-01 DOI: 10.18910/58905
Javier Martínez, V. Muñoz
{"title":"E-polynomials of $mathrm{SL}(2, mathbb{C})$-character varieties of complex curves of genus $3$","authors":"Javier Martínez, V. Muñoz","doi":"10.18910/58905","DOIUrl":"https://doi.org/10.18910/58905","url":null,"abstract":"We compute the E-polynomials of the moduli spaces of representations of the fundamental group of a complex curve of genus g = 3 into SL(2, C), and also of the moduli space of twisted representations. The case of genus g = 1, 2 has already been done in [12]. We follow the geometric technique introduced in [12], based on stratifying the space of representations, and on the analysis of the behaviour of the E-polynomial under fibrations.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2016-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67877056","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Global solvability for double-diffusive convection system based on Brinkman--Forchheimer equation in general domains 基于Brinkman—Forchheimer方程的双扩散对流系统在一般区域的全局可解性
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2016-07-01 DOI: 10.18910/58870
M. Otani, S. Uchida
{"title":"Global solvability for double-diffusive convection system based on Brinkman--Forchheimer equation in general domains","authors":"M. Otani, S. Uchida","doi":"10.18910/58870","DOIUrl":"https://doi.org/10.18910/58870","url":null,"abstract":"Abstract In this paper, we are concerned with the solvability of the in itial boundary value problem of a system which describes double-diffusive conve ction phenomena in some porous medium under general domains, especially unbounded domains. In previous works where the boundedness of the space domain is imposed, s ome global solvability results have been already derived. However, when we cons ider our problem in general domains, some compactness theorems are not availab le. Hence it becomes difficult to follow the same strategies as before. Neverthel ess, we can assure the global existence of a unique solution via the contraction me thod. Moreover, it is revealed that the global solvability holds for higher space di mension and larger class of the initial data than those assumed in previous works.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2016-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67875086","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 11
Almost relative injective modules 几乎相对注入模
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2016-04-01 DOI: 10.18910/58910
Surjeet Singh
{"title":"Almost relative injective modules","authors":"Surjeet Singh","doi":"10.18910/58910","DOIUrl":"https://doi.org/10.18910/58910","url":null,"abstract":"The concept of a moduleM being almostN-injective, whereN is some module, was introduced by Baba (1989). For a given module M , the class of modules N, for which M is almostN-injective, is not closed under direct sums. Baba gave a nece ssary and sufficient condition under which a uniform, finite le ngth moduleU is almost V-injective, whereV is a finite direct sum of uniform, finite length modules, in ter ms of extending properties of simple submodules of V . Let M be a uniform module and V be a finite direct sum of indecomposable modules. Some condit i s under whichM is almostV-injective are determined, thereby Baba’s result is genera liz d. A module M that is almostM-injective is called an almost self-injective module. Comm utative indecomposable rings and von Neumann regular rings that are almost self-injective are studied. It is proved that any minimal right ideal of a von Neumann regular, almost right self-injective ring, is injective. This result i s used to give an example of a von Neumann regular ring that is not almost right self-injec tive.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2016-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67877382","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
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