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Hokkaido Mathematical Journal最新文献

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Besicovitch and doubling type properties in metric spaces 度量空间中的Besicovitch和二重型性质
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2019-02-06 DOI: 10.14492/hokmj/2021-528
J. M. Aldaz
{"title":"Besicovitch and doubling type properties in metric spaces","authors":"J. M. Aldaz","doi":"10.14492/hokmj/2021-528","DOIUrl":"https://doi.org/10.14492/hokmj/2021-528","url":null,"abstract":"We explore the relationship in metric spaces between different properties related to the Besicovitch covering theorem, and also consider weak versions of doubling, in connection to the non-uniqueness of centers and radii in arbitrary metric spaces.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42855998","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
Brauer groups of Châtelet surfaces over local fields 局部场上的<s:1>电激面布劳尔群
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2019-02-01 DOI: 10.14492/HOKMJ/1550480647
Takashi Hirotsu
{"title":"Brauer groups of Châtelet surfaces over local fields","authors":"Takashi Hirotsu","doi":"10.14492/HOKMJ/1550480647","DOIUrl":"https://doi.org/10.14492/HOKMJ/1550480647","url":null,"abstract":"A Châtelet surface over a field is a typical geometrically rational surface. Its Chow group of zero-cycles has been studied as an important birational invariant by many researchers since the 1970s. Recently, S. Saito and K. Sato obtained a duality between the Chow and Brauer groups from the Brauer–Manin pairing. For a Châtelet surface over a local field, we combine their result with the known calculation of the Chow group to determine the structure and generators of the Brauer group of a regular proper flat model of the surface over the integer ring of the base field.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.14492/HOKMJ/1550480647","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48780245","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
Lipschitz continuity of $alpha$-harmonic functions -调和函数的Lipschitz连续性
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2019-02-01 DOI: 10.14492/HOKMJ/1550480645
Peijin Li, Xiantao Wang
{"title":"Lipschitz continuity of $alpha$-harmonic functions","authors":"Peijin Li, Xiantao Wang","doi":"10.14492/HOKMJ/1550480645","DOIUrl":"https://doi.org/10.14492/HOKMJ/1550480645","url":null,"abstract":"","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.14492/HOKMJ/1550480645","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66753985","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
On the annihilators of formal local cohomology modules 关于形式局部上同模的湮灭子
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2019-02-01 DOI: 10.14492/hokmj/1550480649
S. Rezaei
{"title":"On the annihilators of formal local cohomology modules","authors":"S. Rezaei","doi":"10.14492/hokmj/1550480649","DOIUrl":"https://doi.org/10.14492/hokmj/1550480649","url":null,"abstract":"Let a denote an ideal in a commutative Noetherian local ring (R,m) and M a non-zero finitely generated R-module of dimension d. Let d := dim(M/aM). In this paper we calculate the annihilator of the top formal local cohomology module Fda(M). In fact, we prove that AnnR(F d a(M)) = AnnR(M/UR(a,M)), where UR(a,M) := ∪{N : N ⩽ M and dim(N/aN) < dim(M/aM)}. We give a description of UR(a,M) and we will show that AnnR(F d a(M)) = AnnR(M/ ∩pj∈AsshRM∩V(a) Nj), where 0 = ∩n j=1 Nj denotes a reduced primary decomposition of the zero submodule 0 in M and Nj is a pj-primary submodule of M , for all j = 1, . . . , n. Also, we determine the radical of the annihilator of Fda(M). We will prove that √ AnnR(Fa(M)) = AnnR(M/GR(a,M)), where GR(a,M) denotes the largest submodule of M such that AsshR(M) ∩ V(a) ⊆ AssR(M/GR(a,M)) and AsshR(M) denotes the set {p ∈ AssM : dimR/p = dimM}.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.14492/hokmj/1550480649","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42853403","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
Applications of Campanato spaces with variable growth condition to the Navier-Stokes equation 变生长条件Campanato空间在Navier-Stokes方程中的应用
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2019-02-01 DOI: 10.14492/hokmj/1550480646
E. Nakai, Tsuyoshi Yoneda
{"title":"Applications of Campanato spaces with variable growth condition to the Navier-Stokes equation","authors":"E. Nakai, Tsuyoshi Yoneda","doi":"10.14492/hokmj/1550480646","DOIUrl":"https://doi.org/10.14492/hokmj/1550480646","url":null,"abstract":"We give new viewpoints of Campanato spaces with variable growth condition for applications to the Navier-Stokes equation. Namely, we formulate a blowup criteria along maximum points of the 3D-Navier-Stokes flow in terms of stationary Euler flows and show that the properties of Campanato spaces with variable growth condition are very useful for this formulation, since variable growth condition can control the continuity and integrability of functions on the neighborhood at each point. Our criterion is different from the Beale-Kato-Majda type and Constantin-Fefferman type criterion. If geometric behavior of the velocity vector field near the maximum point has a kind of stationary Euler flow configuration up to a possible blowup time, then the solution can be extended to be the strong solution beyond the possible blowup time. As another application we also mention the Cauchy problem for the NavierStokes equation.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.14492/hokmj/1550480646","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44221430","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: 3
Optimal leading term of solutions to wave equations with strong damping terms 强阻尼波动方程解的最优引导项
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2018-10-22 DOI: 10.14492/hokmj/2018-920
Hironori Michihisa
{"title":"Optimal leading term of solutions to wave equations with strong damping terms","authors":"Hironori Michihisa","doi":"10.14492/hokmj/2018-920","DOIUrl":"https://doi.org/10.14492/hokmj/2018-920","url":null,"abstract":"We analyze the asymptotic behavior of solutions to wave equations with strong damping terms. If the initial data belong to suitable weighted $L^1$ spaces, lower bounds for the difference between the solutions and the leading terms in the Fourier space are obtained, which implies the optimality of expanding methods and some estimates proposed in this paper.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2018-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46347856","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: 21
Nef Cone of a Generalized Kummer 4-fold 广义Kummer 4重的Nef锥
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2018-10-18 DOI: 10.14492/hokmj/2018-919
Akira Mori
{"title":"Nef Cone of a Generalized Kummer 4-fold","authors":"Akira Mori","doi":"10.14492/hokmj/2018-919","DOIUrl":"https://doi.org/10.14492/hokmj/2018-919","url":null,"abstract":"In this note, we calculate the boundary of movable cones and nef cones of the generalized Kummer 4-fold $mathrm{Km}^2(A)$ attached to an abelian surface $A$ with $mathrm{rkNS}(A) = 1$.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2018-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47177506","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
The existence of Leray-Hopf weak solutions with linear strain 线性应变Leray-Hopf弱解的存在性
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2018-10-01 DOI: 10.14492/HOKMJ/1537948827
R. Kakizawa
{"title":"The existence of Leray-Hopf weak solutions with linear strain","authors":"R. Kakizawa","doi":"10.14492/HOKMJ/1537948827","DOIUrl":"https://doi.org/10.14492/HOKMJ/1537948827","url":null,"abstract":"This paper deals with the global existence of weak solutions to the initial value problem for the Navier-Stokes equations in R (n ∈ Z, n ≥ 2). Concerning initial data of the form Ax + v(0), where A ∈ Mn(R) and v(0) ∈ Lσ(R), the weak solutions are properly-defined with the aid of the alternativity of the trilinear from (Ax ·∇)v ·φ. Furthermore, we construct the Leray-Hopf weak solution which satisfies not only the Navier-Stokes equations but also the energy inequality via the Galerkin approximation. From the viewpoint of quadratic forms, the Gronwall-Bellman inequality admits the uniform boundedness of the approximate solution.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45521308","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
Spatial Asymptotic Profiles of Solutions to the Navier-Stokes System in a Rotating Frame with Fast Decaying Data 具有快速衰减数据的旋转坐标系中Navier-Stokes系统解的空间渐近轮廓
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2018-10-01 DOI: 10.14492/hokmj/1537948828
R. Farwig, R. Schulz, Y. Taniuchi
{"title":"Spatial Asymptotic Profiles of Solutions to the Navier-Stokes System in a Rotating Frame with Fast Decaying Data","authors":"R. Farwig, R. Schulz, Y. Taniuchi","doi":"10.14492/hokmj/1537948828","DOIUrl":"https://doi.org/10.14492/hokmj/1537948828","url":null,"abstract":"The nonstationary Navier-Stokes system for a viscous, incompressible fluid influenced by a Coriolis force in the whole space R3 is considered at large distances. The solvability of the corresponding integral equations of these equations in weighted L∞-spaces is established. Furthermore, the leading terms of the asymptotic profile of the solution at fixed time t > 0 for |x| > t and far from the axis of rotation are investigated.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.14492/hokmj/1537948828","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48489419","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
Moving frames and conservation laws of a Lagrangian invariant under the Hyperbolic Rotation-Translation group 双曲旋转平移群下拉格朗日不变量的运动框架和守恒定律
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2018-10-01 DOI: 10.14492/hokmj/1537948831
Yousef Masoudi, Mehdi Nadjafikhah
{"title":"Moving frames and conservation laws of a Lagrangian invariant under the Hyperbolic Rotation-Translation group","authors":"Yousef Masoudi, Mehdi Nadjafikhah","doi":"10.14492/hokmj/1537948831","DOIUrl":"https://doi.org/10.14492/hokmj/1537948831","url":null,"abstract":"Noether’s First Theorem guarantees conservation laws provided that the Lagrangian is invariant under a Lie group action. In this paper, via the concept of Killing vector fields and the Minkowski metric, we first construct an important Lie group, known as Hyperbolic Rotation-Translation group. Then, according to Gonçalves and Mansfield’s method, we obtain the invariantized Euler-Lagrange equations and the space of conservation laws in terms of vectors of invariants and the adjoint representation of a moving frame, for Lagrangians, which are invariant under Hyperbolic Rotation-Translation (or HRT) group action, in the case where the independent variables are not invariant.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.14492/hokmj/1537948831","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49060984","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
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