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Vlasov–Poisson Equation in Besov Space Besov空间中的Vlasov-Poisson方程
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220304
Cong He, Jingchun Chen
{"title":"Vlasov–Poisson Equation in Besov Space","authors":"Cong He, Jingchun Chen","doi":"10.11650/tjm/220304","DOIUrl":"https://doi.org/10.11650/tjm/220304","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44638268","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
Oscillation and Nonoscillation for Two-dimensional Nonlinear Systems of Ordinary Differential Equations 二维非线性常微分方程组的振动性和非振动性
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/221001
Manabu Naito
{"title":"Oscillation and Nonoscillation for Two-dimensional Nonlinear Systems of Ordinary Differential Equations","authors":"Manabu Naito","doi":"10.11650/tjm/221001","DOIUrl":"https://doi.org/10.11650/tjm/221001","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48838520","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
Global Well-posedness of Solutions for the $p$-Laplacian Hyperbolic Type Equation with Weak and Strong Damping Terms and Logarithmic Nonlinearity 具有弱、强阻尼项和对数非线性的$p$- laplace双曲型方程解的全局适定性
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220702
N. Boumaza, Billel Gheraibia, Gongwei Liu
{"title":"Global Well-posedness of Solutions for the $p$-Laplacian Hyperbolic Type Equation with Weak and Strong Damping Terms and Logarithmic Nonlinearity","authors":"N. Boumaza, Billel Gheraibia, Gongwei Liu","doi":"10.11650/tjm/220702","DOIUrl":"https://doi.org/10.11650/tjm/220702","url":null,"abstract":". In this paper, we consider the p -Laplacian hyperbolic type equation with weak and strong damping terms and logarithmic nonlinearity. By using the potential well method and a logarithmic Sobolev inequality, we prove global existence, infinite time blow up and asymptotic behavior of solutions in two cases E (0) < d and E (0) = d . Furthermore, the infinite time blow up of solutions for the problem with E (0) > 0 ( ω = 0) is studied.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49149420","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: 4
A Minimum Principle for Stochastic Optimal Control Problem with Interval Cost Function 区间代价函数随机最优控制问题的极小原理
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/221102
Mahdi Rezaei Bahrmand, H. Khaloozadeh, P. R. Ardabili
{"title":"A Minimum Principle for Stochastic Optimal Control Problem with Interval Cost Function","authors":"Mahdi Rezaei Bahrmand, H. Khaloozadeh, P. R. Ardabili","doi":"10.11650/tjm/221102","DOIUrl":"https://doi.org/10.11650/tjm/221102","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44367910","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
Eakin–Nagata–Eisenbud Theorem for Right $S$-Noetherian Rings 右$S$- noether环的Eakin-Nagata-Eisenbud定理
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/221101
Gangyong Lee, Jongwook Baeck, J. Lim
{"title":"Eakin–Nagata–Eisenbud Theorem for Right $S$-Noetherian Rings","authors":"Gangyong Lee, Jongwook Baeck, J. Lim","doi":"10.11650/tjm/221101","DOIUrl":"https://doi.org/10.11650/tjm/221101","url":null,"abstract":". The Eakin–Nagata theorem examines the condition that the Noetherian property passes through each other between subrings and extension rings in 1968. Later, a noncommutative version of Eakin–Nagata theorem was also proved. Lam called this version Eakin–Nagata–Eisenbud theorem. In addition, Anderson and Dumitrescu introduced the S -Noetherian concept which is an extended notion of the Noetherian property on commutative rings in 2002. In this paper, we consider the S -variant of Eakin–Nagata–Eisenbud theorem for general rings by using S -Noetherian modules. We also show that every right S -Noetherian domain is right Ore, which is embedded into a division ring. For a right S -Noetherian ring, we obtain sufficient conditions for its right ring of fractions to be right S -Noetherian or right Noetherian. As applications, the S -variant of Eakin–Nagata–Eisenbud theorem is applied to the composite polynomial, composite power series and composite skew polynomial rings.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43357873","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 Mixed Joint Discrete Universality for a Class of Zeta-functions: One More Case 一类ζ函数的混合联合离散通用性:又一种情况
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220804
R. Kačinskaitė, Kohji Matsumoto, Łukasz Pańkowski
{"title":"On Mixed Joint Discrete Universality for a Class of Zeta-functions: One More Case","authors":"R. Kačinskaitė, Kohji Matsumoto, Łukasz Pańkowski","doi":"10.11650/tjm/220804","DOIUrl":"https://doi.org/10.11650/tjm/220804","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49001266","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 $L^p$-$L^q$ Boundedness and Compactness of Bergman Type Operators Bergman型算子的$L^p$-$L^q$有界性和紧性
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220101
Lijia Ding, Kai Wang
{"title":"The $L^p$-$L^q$ Boundedness and Compactness of Bergman Type Operators","authors":"Lijia Ding, Kai Wang","doi":"10.11650/tjm/220101","DOIUrl":"https://doi.org/10.11650/tjm/220101","url":null,"abstract":". We investigate Bergman type operators on the complex unit ball, which are singular integral operators induced by the modified Bergman kernel. We consider the L p - L q boundedness and compactness of Bergman type operators. The results of boundedness can be viewed as the Hardy–Littlewood–Sobolev (HLS) type theorem in the case unit ball. We also give some sharp norm estimates of Bergman type operators which in fact gives the upper bounds of the optimal constants in the HLS type inequality on the unit ball. Moreover, a trace formula is given.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45572066","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
Analysis and Approximation of Hemivariational Inequality for a Frictional Thermo-electro-visco-elastic Contact Problem with Damage 含损伤的热电粘弹性摩擦接触问题半变分不等式的分析与逼近
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220704
Z. Faiz, O. Baiz, H. Benaissa, D. E. Moutawakil
{"title":"Analysis and Approximation of Hemivariational Inequality for a Frictional Thermo-electro-visco-elastic Contact Problem with Damage","authors":"Z. Faiz, O. Baiz, H. Benaissa, D. E. Moutawakil","doi":"10.11650/tjm/220704","DOIUrl":"https://doi.org/10.11650/tjm/220704","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45526985","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
Reconstructing the Initial State of the Linear System and Estimating its Error in Discretization 线性系统的初始状态重构及其离散化误差估计
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/221105
Ruijing Wang, Weisong Xie
{"title":"Reconstructing the Initial State of the Linear System and Estimating its Error in Discretization","authors":"Ruijing Wang, Weisong Xie","doi":"10.11650/tjm/221105","DOIUrl":"https://doi.org/10.11650/tjm/221105","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42820479","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
Ground States of Nonlocal Fractional Schrödinger Equations with Potentials Well 具有势阱的非局部分数阶Schrödinger方程的基态
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220602
Ye Xue, Yunlan Wei
{"title":"Ground States of Nonlocal Fractional Schrödinger Equations with Potentials Well","authors":"Ye Xue, Yunlan Wei","doi":"10.11650/tjm/220602","DOIUrl":"https://doi.org/10.11650/tjm/220602","url":null,"abstract":"Inspired by Alves and Souto [2], we investigate the existence of nontrivial solutions to a class of fractional Schrödinger equations with potentials well. Taking the superlinear nonlinearities into consideration, we obtain the existence of nontrivial solutions by loosing monotonicity. Furthermore, a ground state solution is established.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44396469","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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