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Hokkaido Mathematical Journal最新文献

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Blow-up at space infinity for a quasilinear parabolic equation with space-dependent reaction 具有空间相关反应的拟线性抛物方程在空间无穷远处的爆破
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2021-10-01 DOI: 10.14492/hokmj/2019-195
Ryuichi Suzuki, Noriaki Umeda
{"title":"Blow-up at space infinity for a quasilinear parabolic equation with space-dependent reaction","authors":"Ryuichi Suzuki, Noriaki Umeda","doi":"10.14492/hokmj/2019-195","DOIUrl":"https://doi.org/10.14492/hokmj/2019-195","url":null,"abstract":"","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47929776","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
Boundedness of solutions for a quasilinear chemotaxis-haptotaxis model 一类拟线性趋化-趋化模型解的有界性
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2021-06-01 DOI: 10.14492/hokmj/2018-944
Guoqiang Ren, Bing Liu
{"title":"Boundedness of solutions for a quasilinear chemotaxis-haptotaxis model","authors":"Guoqiang Ren, Bing Liu","doi":"10.14492/hokmj/2018-944","DOIUrl":"https://doi.org/10.14492/hokmj/2018-944","url":null,"abstract":"In this paper, we deal with the chemotaxis-haptotaxis system with logistic source under homogeneous Neumann boundary conditions in a bounded convex domain with smooth boundary. Under appropriate regularity assumptions on the initial data, by $L^p$-estimate techniques, we show that the system possesses at least one global and bounded weak solution. Our results generalize and improve previous results.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44345114","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
Asymptotic behavior in time of solutions to complex-valued nonlinear Klein-Gordon equation in one space dimension 一维复值非线性Klein-Gordon方程解的渐近时间性质
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2021-06-01 DOI: 10.14492/hokmj/2018-938
J. Segata
{"title":"Asymptotic behavior in time of solutions to complex-valued nonlinear Klein-Gordon equation in one space dimension","authors":"J. Segata","doi":"10.14492/hokmj/2018-938","DOIUrl":"https://doi.org/10.14492/hokmj/2018-938","url":null,"abstract":"We consider the long time behavior of solutions to the initial value problem for the ``complex-valued'' cubic nonlinear Klein-Gordon equation (NLKG) in one space dimension. In [12], Sunagawa derived the $L^{infty}$ decay estimate of solutions to (NLKG). In this note, we obtain the large time asymptotic profile of solutions to (NLKG).","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47766891","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 Riemann problem for van der Waals fluids with nonclassical phase transitions 具有非经典相变的范德华流体的黎曼问题
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2021-06-01 DOI: 10.14492/hokmj/2019-115
M. Thanh, Duong Xuan Vinh
{"title":"The Riemann problem for van der Waals fluids with nonclassical phase transitions","authors":"M. Thanh, Duong Xuan Vinh","doi":"10.14492/hokmj/2019-115","DOIUrl":"https://doi.org/10.14492/hokmj/2019-115","url":null,"abstract":"We consider the Riemann problem for fluids of van der Waals type with phase transitions involving nonclassical shocks. The model is elliptic-hyperbolic and the pressure function admits two inflection points. First, a unique classical Riemann solver is constructed, which is based on rarefaction waves, classical shocks and zero-speed shocks. Second, we investigate nonclassical Riemann solvers, which involve nonclassical shocks. Nonclassical shocks are shock waves which violate the Liu entropy condition and satisfy a kinetic relation. It can be shown that then two wave curves always intersect either once or twice at different phases. Consequently, the Riemann problem always admit one or two solutions in the class of classical and nonclassical shocks, zero-speed shocks, and rarefaction waves.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44767466","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
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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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
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