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Level set mean curvature flow, with Neumann boundary conditions 水平集平均曲率流，与诺伊曼边界条件
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2021-03-30 DOI: 10.14492/hokmj/2020-426
Satoru Aimi
{"title":"Level set mean curvature flow, with Neumann boundary conditions","authors":"Satoru Aimi","doi":"10.14492/hokmj/2020-426","DOIUrl":"https://doi.org/10.14492/hokmj/2020-426","url":null,"abstract":"We investigate the relation between the level set approach and the varifold approach for the mean curvature flow with Neumann boundary conditions. With an appropriate initial data, we prove that the almost all level sets of the unique viscosity level set solution satisfy Brakke's inequality and a generalized Neumann boundary condition.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44525976","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
Bifurcation of Euler buckling problem, revisited 欧拉屈曲问题的分岔问题
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2021-02-01 DOI: 10.14492/hokmj/2018-910
Atia Afroz, Toshizumi Fukui
{"title":"Bifurcation of Euler buckling problem, revisited","authors":"Atia Afroz, Toshizumi Fukui","doi":"10.14492/hokmj/2018-910","DOIUrl":"https://doi.org/10.14492/hokmj/2018-910","url":null,"abstract":"We present a precise discussion of Golubitsky and Schaeffer's treatment on bifurcation of Euler buckling problem. We discuss smoothness of the problem and derive equations describing the bifurcation set $B$ and the hysteresis set $H$ up to order 3, which enable us to draw their figures approximately under suitable assumptions.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49002750","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
Scattering operator for the fourth order nonlinear Schrüdinger equation 四阶非线性Schrüdinger方程的散射算子
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2021-02-01 DOI: 10.14492/hokmj/2018-907
N. Hayashi, Yuichiro Kawahara, P. Naumkin
{"title":"Scattering operator for the fourth order nonlinear Schrüdinger equation","authors":"N. Hayashi, Yuichiro Kawahara, P. Naumkin","doi":"10.14492/hokmj/2018-907","DOIUrl":"https://doi.org/10.14492/hokmj/2018-907","url":null,"abstract":"We study the fourth order nonlinear Schrodinger equation begin{equation*} i{partial }_{t}u-frac{1}{4}partial _{x}^{4}u=f(u) ,quad (t,x)in mathbb{R}times mathbb{R}, end{equation*} where $f(u) $ is the power nonlinearity of order $p>5.$ The scattering operator is constructed in a neighborhood of the origin in a sutable weighted Sobolev space.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44702146","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
Colocalization of formal local cohomology modules 形式局部上同调模的共域化
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2021-02-01 DOI: 10.14492/hokmj/2018-906
S. Rezaei
{"title":"Colocalization of formal local cohomology modules","authors":"S. Rezaei","doi":"10.14492/hokmj/2018-906","DOIUrl":"https://doi.org/10.14492/hokmj/2018-906","url":null,"abstract":"Let $(R,frak{m})$ be a Noetherian local ring, $frak{a}$ an ideal of $R$ and $M$ a finitely generated $R$-module. In this paper, we study Colocalization of formal local cohomology modules. Here, similar to the local global Principle in local cohomology theory, we investigate artinianness and minimaxness of formal local cohomology modules in terms of their colocalizations. Among other things, we will prove that, for any integer $n$, $mathfrak{F}_{frak{a}}^i(M)$ is artinian $R$-module for all $i lt n$, if and only if $_{frak{p}}(mathfrak{F}_{frak{a}}^i(M)) $ is representable $R_{frak{p}}$-module for all $i lt n$ and all $frak{p} in operatorname{Spec}(R)$. Also, $ mathfrak{F}_{frak{a}}^i(M) $ is minimax $R$-module for all $i lt n$, if and only if $ _{frak{p}}(mathfrak{F}_{frak{a}}^i(M)) $ is representable $R_{frak{p}}$-module for all $i lt n$ and all $frak{p} in operatorname{Spec}(R)setminuslbrace frak{m}rbrace$.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48503351","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
Perpendicular graph of modules 模块垂直度图
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2020-10-01 DOI: 10.14492/hokmj/1607936538
M. Shirali, E. Momtahan, S. Safaeeyan
{"title":"Perpendicular graph of modules","authors":"M. Shirali, E. Momtahan, S. Safaeeyan","doi":"10.14492/hokmj/1607936538","DOIUrl":"https://doi.org/10.14492/hokmj/1607936538","url":null,"abstract":"","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":"49 1","pages":"463-479"},"PeriodicalIF":0.5,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49089918","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
On Kähler-like almost Hermitian metrics and the almost Hermitian curvature flow 在Kähler-like上的近似厄米度规和近似厄米曲率流
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2020-10-01 DOI: 10.14492/hokmj/1607936536
Masaya Kawamura
{"title":"On Kähler-like almost Hermitian metrics and the almost Hermitian curvature flow","authors":"Masaya Kawamura","doi":"10.14492/hokmj/1607936536","DOIUrl":"https://doi.org/10.14492/hokmj/1607936536","url":null,"abstract":"","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":"49 1","pages":"431-450"},"PeriodicalIF":0.5,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43183094","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
Reconstruction of profinite graphs from profinite groups of PIPSC-type 由PIPSC型profinite群重构profinite图
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2020-10-01 DOI: 10.14492/hokmj/1607936535
Yuichiro Hoshi
{"title":"Reconstruction of profinite graphs from profinite groups of PIPSC-type","authors":"Yuichiro Hoshi","doi":"10.14492/hokmj/1607936535","DOIUrl":"https://doi.org/10.14492/hokmj/1607936535","url":null,"abstract":"— In the present paper, we study profinite groups of PIPSC-type, i.e., abstract profinite groups isomorphic to the extensions determined by outer representations of PIPSCtype. In particular, we establish a “group-theoretic” algorithm for constructing, from a profinite group of PIPSC-type that is noncuspidal, a certain profinite graph.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":"49 1","pages":"399-430"},"PeriodicalIF":0.5,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41566458","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
Remarks on global solutions for the semilinear diffusion equation in the de Sitter spacetime de Sitter时空中半线性扩散方程的整体解
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2020-10-01 DOI: 10.14492/hokmj/1607936539
Makoto Nakamura, Yuya Sato
{"title":"Remarks on global solutions for the semilinear diffusion equation in the de Sitter spacetime","authors":"Makoto Nakamura, Yuya Sato","doi":"10.14492/hokmj/1607936539","DOIUrl":"https://doi.org/10.14492/hokmj/1607936539","url":null,"abstract":"","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":"49 1","pages":"481-508"},"PeriodicalIF":0.5,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44856196","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
Slant Toeplitz operators on the Lebesgue space of $n$-dimensional torus $n$维环面Lebesgue空间上的Slant-Toeplitz算子
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2020-10-01 DOI: 10.14492/hokmj/1607936533
Gopal Datt, Shesh Kumar Pandey
{"title":"Slant Toeplitz operators on the Lebesgue space of $n$-dimensional torus","authors":"Gopal Datt, Shesh Kumar Pandey","doi":"10.14492/hokmj/1607936533","DOIUrl":"https://doi.org/10.14492/hokmj/1607936533","url":null,"abstract":"","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":"49 1","pages":"363-389"},"PeriodicalIF":0.5,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47252674","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
Non-relativistic Pauli–Fierz Hamiltonian for less than two photons 小于两个光子的非相对论性保利-菲尔兹哈密顿量
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2020-07-18 DOI: 10.14492/hokmj/2019-164
D. Dayantsolmon, A. Galtbayar
{"title":"Non-relativistic Pauli–Fierz Hamiltonian for less than two photons","authors":"D. Dayantsolmon, A. Galtbayar","doi":"10.14492/hokmj/2019-164","DOIUrl":"https://doi.org/10.14492/hokmj/2019-164","url":null,"abstract":"We consider the Pauli--Fierz model, which describes a particle (an electron) coupled to the quantized electromagnetic field and limit the number of photons to less than 2. By computing red{the resolvent explicitly}, we located the spectrum of the Hamiltonian mass. Our results do not depend on the coupling constant $e$ nor on the infrared cutoff parameter $R$.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46813977","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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