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The Bruhat order on classes of isotopic Latin squares 同位素拉丁方类的Bruhat阶
IF 0.8 4区 数学
Portugaliae Mathematica Pub Date : 2020-09-09 DOI: 10.4171/pm/2046
Rosário Fernandes, Henrique F. da Cruz, Domingos Salomão
{"title":"The Bruhat order on classes of isotopic Latin squares","authors":"Rosário Fernandes, Henrique F. da Cruz, Domingos Salomão","doi":"10.4171/pm/2046","DOIUrl":"https://doi.org/10.4171/pm/2046","url":null,"abstract":"In a previous paper, the authors introduced and studied the Bruhat order in the class of Latin squares of order n. In this paper, we investigate the restriction of the Bruhat order in a class of isotopic Latin squares. We present equivalent conditions for two Latin squares be related by the Bruhat order when one of them is obtained from the other by interchanging rows or columns or symbols. The cover relation is also addressed, and we present orthogonal isotopic Latin squares related by the Bruhat order.","PeriodicalId":51269,"journal":{"name":"Portugaliae Mathematica","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2020-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/pm/2046","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43359088","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
The supremum-involving Hardy-type operators on Lorentz-type spaces 洛伦兹型空间上的最大涉及hardy型算子
IF 0.8 4区 数学
Portugaliae Mathematica Pub Date : 2020-09-09 DOI: 10.4171/pm/2042
Qinxiu Sun, Xiao Yu, Hongliang Li
{"title":"The supremum-involving Hardy-type operators on Lorentz-type spaces","authors":"Qinxiu Sun, Xiao Yu, Hongliang Li","doi":"10.4171/pm/2042","DOIUrl":"https://doi.org/10.4171/pm/2042","url":null,"abstract":"","PeriodicalId":51269,"journal":{"name":"Portugaliae Mathematica","volume":"77 1","pages":"1-29"},"PeriodicalIF":0.8,"publicationDate":"2020-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47755101","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
Global existence for a one-dimensional non-relativistic Euler model with relaxation 带松弛的一维非相对论欧拉模型的整体存在性
IF 0.8 4区 数学
Portugaliae Mathematica Pub Date : 2020-09-09 DOI: 10.4171/pm/2044
Shuyang Xiang, Yangyang Cao
{"title":"Global existence for a one-dimensional non-relativistic Euler model with relaxation","authors":"Shuyang Xiang, Yangyang Cao","doi":"10.4171/pm/2044","DOIUrl":"https://doi.org/10.4171/pm/2044","url":null,"abstract":"","PeriodicalId":51269,"journal":{"name":"Portugaliae Mathematica","volume":"77 1","pages":"45-71"},"PeriodicalIF":0.8,"publicationDate":"2020-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/pm/2044","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43037224","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
Note on Lisbon integrals and their associated $D$-modules 注意里斯本积分及其相关的D -模
IF 0.8 4区 数学
Portugaliae Mathematica Pub Date : 2020-08-20 DOI: 10.4171/pm/2071
D. Barlet
{"title":"Note on Lisbon integrals and their associated $D$-modules","authors":"D. Barlet","doi":"10.4171/pm/2071","DOIUrl":"https://doi.org/10.4171/pm/2071","url":null,"abstract":"The aim of this Note is to specify the links between the three kinds of Lisbon integrals, trace functions and trace forms with the corresponding D−modules.","PeriodicalId":51269,"journal":{"name":"Portugaliae Mathematica","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2020-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42850618","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
Some existence results for a quasilinear problem with source term in Zygmund-space Zygmund空间中具有源项的拟线性问题的一些存在性结果
IF 0.8 4区 数学
Portugaliae Mathematica Pub Date : 2020-07-15 DOI: 10.4171/pm/2035
B. Hamour
{"title":"Some existence results for a quasilinear problem with source term in Zygmund-space","authors":"B. Hamour","doi":"10.4171/pm/2035","DOIUrl":"https://doi.org/10.4171/pm/2035","url":null,"abstract":"In this paper we study the existence of solution to the problem \u0000begin{equation*} \u0000left{begin{array}{l} uin H_{0}^{1}(Omega), \u0000[4pt] \u0000-textrm{div},(A(x)Du)=H(x,u,Du)+f(x)+a_{0}(x), uquad text{in} \u0000quadmathcal{D}'(Omega), \u0000end{array} \u0000right. \u0000end{equation*} \u0000where $Omega$ is an open bounded set of $mathbb{R}^{2}$, \u0000$A(x)$ a coercive matrix with coefficients in \u0000$L^infty(Omega)$, $H(x,s,xi)$ a Carath'eodory function \u0000satisfying, for some $gamma >0$, \u0000$$ \u0000 -c_{0}, A(x), xixileq H(x,s,xi),{rm sign}(s)leq gamma,A(x),xixi ;;; \u0000{rm a.e. }; xin Omega,;;;forall sinmathbb{R},;;; \u0000 forallxi in mathbb{R}^{2}. \u0000$$ \u0000Here $f$ belongs to $L^1(log L^1)(Omega)$ and $a_{0} geq 0$ to $L^{q}(Omega )$, $q>1$. \u0000For $f$ and $a_{0}$ sufficiently small, we prove the existence of at least one solution $u$ of this problem which is such that $e^{delta_0 |u|} -1$ belongs to $H_{0}^{1}(Omega)$ for \u0000some $delta_0geqgamma$ and satisfies an textit{a priori} estimate.","PeriodicalId":51269,"journal":{"name":"Portugaliae Mathematica","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2020-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/pm/2035","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46118963","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 impact of a lower order term in a Dirichlet problem with a singular nonlinearity 奇异非线性Dirichlet问题中低阶项的影响
IF 0.8 4区 数学
Portugaliae Mathematica Pub Date : 2020-07-15 DOI: 10.4171/PM/2041
L. Boccardo, G. Croce
{"title":"The impact of a lower order term in a Dirichlet problem with a singular nonlinearity","authors":"L. Boccardo, G. Croce","doi":"10.4171/PM/2041","DOIUrl":"https://doi.org/10.4171/PM/2041","url":null,"abstract":"In this paper we study the existence and regularity of solutions to the following Dirichlet problem        −div(a(x)|∇u| p−2 ∇u) + u|u| r−1 = f (x) u θ in Ω, u > 0 in Ω, u = 0 on ∂Ω proving that the lower order term u|u| r−1 has some regularizing effects on the solutions. Mathematics Subject Classification (2010). 35J66, 35J75","PeriodicalId":51269,"journal":{"name":"Portugaliae Mathematica","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2020-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/PM/2041","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46517568","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
A fast method for solving a block tridiagonal quasi-Toeplitz linear system 求解块三对角拟Toeplitz线性系统的一种快速方法
IF 0.8 4区 数学
Portugaliae Mathematica Pub Date : 2020-07-15 DOI: 10.4171/pm/2036
S. Belhaj, Fahd Hcini, Yulin Zhang
{"title":"A fast method for solving a block tridiagonal quasi-Toeplitz linear system","authors":"S. Belhaj, Fahd Hcini, Yulin Zhang","doi":"10.4171/pm/2036","DOIUrl":"https://doi.org/10.4171/pm/2036","url":null,"abstract":". This paper addresses the problem of solving block tridiagonal quasi-Toeplitz linear systems. Inspired by [9], we propose a more generalized algorithm for such systems. The algorithm is based on a block decomposition for a block tridiagonal quasi-Toeplitz matrix and the Sherman-Morrison-Woodbury inversion formula. We also compare the proposed approach to the standard block LU decomposition method. A theoretical accuracy and error analysis is also considered. All algorithms have been implemented in Matlab. Numerical experiments performed with a wide variety of test problems show the effectiveness of our algorithm in terms of efficience, stability and robustness.","PeriodicalId":51269,"journal":{"name":"Portugaliae Mathematica","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2020-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43472574","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
On generalized Bregman nonspreading mappings and zero points of maximal monotone operator in a reflexive Banach space 自反Banach空间中广义Bregman非扩张映射与极大单调算子的零点
IF 0.8 4区 数学
Portugaliae Mathematica Pub Date : 2020-07-15 DOI: 10.4171/pm/2034
L. Jolaoso, O. Mewomo
{"title":"On generalized Bregman nonspreading mappings and zero points of maximal monotone operator in a reflexive Banach space","authors":"L. Jolaoso, O. Mewomo","doi":"10.4171/pm/2034","DOIUrl":"https://doi.org/10.4171/pm/2034","url":null,"abstract":"","PeriodicalId":51269,"journal":{"name":"Portugaliae Mathematica","volume":"76 1","pages":"229-258"},"PeriodicalIF":0.8,"publicationDate":"2020-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/pm/2034","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49528854","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
Stein–Weiss inequalities for radial local Morrey spaces 径向局部Morrey空间的Stein–Weiss不等式
IF 0.8 4区 数学
Portugaliae Mathematica Pub Date : 2020-07-15 DOI: 10.4171/pm/2037
K. Ho
{"title":"Stein–Weiss inequalities for radial local Morrey spaces","authors":"K. Ho","doi":"10.4171/pm/2037","DOIUrl":"https://doi.org/10.4171/pm/2037","url":null,"abstract":"","PeriodicalId":51269,"journal":{"name":"Portugaliae Mathematica","volume":"76 1","pages":"301-310"},"PeriodicalIF":0.8,"publicationDate":"2020-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/pm/2037","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42661796","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
The cost of approximate controllability of heat equation with general dynamical boundary conditions 一般动力边界条件下热方程近似可控性的代价
IF 0.8 4区 数学
Portugaliae Mathematica Pub Date : 2020-06-11 DOI: 10.4171/PM/2061
I. Boutaayamou, Salah-Eddine Chorfi, L. Maniar, O. Oukdach
{"title":"The cost of approximate controllability of heat equation with general dynamical boundary conditions","authors":"I. Boutaayamou, Salah-Eddine Chorfi, L. Maniar, O. Oukdach","doi":"10.4171/PM/2061","DOIUrl":"https://doi.org/10.4171/PM/2061","url":null,"abstract":"We consider the heat equation with dynamic bounary conditions involving gradient terms in a bounded domain. In this paper we study the cost of approximate controllability for this equation. Combining new developed Carleman estimates and some optimization techniques, we obtain explicit bounds of the minimal norm control. We consider the linear and the semilinear cases.","PeriodicalId":51269,"journal":{"name":"Portugaliae Mathematica","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2020-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49377281","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: 10
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