发布求助
文献互助 智能选刊 最新文献

Annals of Mathematical Sciences and Applications最新文献

筛选
英文 中文
The Kohn–Laplacian and Cauchy–Szegö projection on model domains 模型域上的Kohn–Laplacian和Cauchy–Szegö投影
IF 0.6
Annals of Mathematical Sciences and Applications Pub Date : 2022-11-27 DOI: 10.4310/amsa.2023.v8.n1.a4
D. Chang, Ji Li, Jingzhi Tie, Qingyan Wu
{"title":"The Kohn–Laplacian and Cauchy–Szegö projection on model domains","authors":"D. Chang, Ji Li, Jingzhi Tie, Qingyan Wu","doi":"10.4310/amsa.2023.v8.n1.a4","DOIUrl":"https://doi.org/10.4310/amsa.2023.v8.n1.a4","url":null,"abstract":"We study the Kohn-Laplacian and its fundamental solution on some model domains in $mathbb C^{n+1}$, and further discuss the explicit kernel of the Cauchy-Szeg\"o projections on these model domains using the real analysis method. We further show that these Cauchy-Szeg\"o kernels are Calder'on-Zygmund kernels under the suitable quasi-metric.","PeriodicalId":42896,"journal":{"name":"Annals of Mathematical Sciences and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47148458","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Weak convergence of two-step inertial iteration for countable family of quasi-nonexpansive mappings 拟非扩张映射可数族两步惯性迭代的弱收敛性
IF 0.6
Annals of Mathematical Sciences and Applications Pub Date : 2022-01-01 DOI: 10.4310/amsa.2022.v7.n2.a5
Y. Shehu, J. Yao
{"title":"Weak convergence of two-step inertial iteration for countable family of quasi-nonexpansive mappings","authors":"Y. Shehu, J. Yao","doi":"10.4310/amsa.2022.v7.n2.a5","DOIUrl":"https://doi.org/10.4310/amsa.2022.v7.n2.a5","url":null,"abstract":"","PeriodicalId":42896,"journal":{"name":"Annals of Mathematical Sciences and Applications","volume":"153 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70392770","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Index search method for solving nonnegative matrix factorization 求解非负矩阵分解的索引搜索方法
IF 0.6
Annals of Mathematical Sciences and Applications Pub Date : 2022-01-01 DOI: 10.4310/amsa.2022.v7.n2.a6
Yi-Shin Cheng, Ching-Sung Liu
{"title":"Index search method for solving nonnegative matrix factorization","authors":"Yi-Shin Cheng, Ching-Sung Liu","doi":"10.4310/amsa.2022.v7.n2.a6","DOIUrl":"https://doi.org/10.4310/amsa.2022.v7.n2.a6","url":null,"abstract":"","PeriodicalId":42896,"journal":{"name":"Annals of Mathematical Sciences and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70392785","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Local discontinuous Galerkin methods for the carpet cloak model 地毯斗篷模型的局部不连续伽辽金方法
IF 0.6
Annals of Mathematical Sciences and Applications Pub Date : 2022-01-01 DOI: 10.4310/amsa.2022.v7.n1.a4
Xinyue Yu, Jichun Li, Chi-Wang Shu
{"title":"Local discontinuous Galerkin methods for the carpet cloak model","authors":"Xinyue Yu, Jichun Li, Chi-Wang Shu","doi":"10.4310/amsa.2022.v7.n1.a4","DOIUrl":"https://doi.org/10.4310/amsa.2022.v7.n1.a4","url":null,"abstract":". The DG methods have been shown to have good performance in numerical simulations of the carpet cloak model in [32]. However, the stability analysis and the error estimate are left to be done. In this paper, we introduce the leap-frog DG methods to solve the carpet cloak model. We prove the stability of the semi-discrete scheme, the sub-optimal error estimate for unstructured meshes, and the optimal error estimate for tensor-product meshes. Then, the fully discrete scheme is stated and the stability is proved. Finally, the numerical accuracy tests on rectangular and triangular meshes are given respectively, and the results of numerical simulations of the wave propagation in the carpet cloak model using the DG scheme are presented.","PeriodicalId":42896,"journal":{"name":"Annals of Mathematical Sciences and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70392694","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A structure-preserving algorithm for the linear lossless dissipative Hamiltonian eigenvalue problem 线性无损耗散哈密顿特征值问题的结构保持算法
IF 0.6
Annals of Mathematical Sciences and Applications Pub Date : 2022-01-01 DOI: 10.4310/amsa.2022.v7.n1.a1
Xing-Long Lyu
{"title":"A structure-preserving algorithm for the linear lossless dissipative Hamiltonian eigenvalue problem","authors":"Xing-Long Lyu","doi":"10.4310/amsa.2022.v7.n1.a1","DOIUrl":"https://doi.org/10.4310/amsa.2022.v7.n1.a1","url":null,"abstract":"","PeriodicalId":42896,"journal":{"name":"Annals of Mathematical Sciences and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70392629","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Wigner rotation and its $SO(3)$ model: an active-frame approach Wigner旋转及其$SO(3)$模型:一种主动帧方法
IF 0.6
Annals of Mathematical Sciences and Applications Pub Date : 2022-01-01 DOI: 10.4310/amsa.2022.v7.n2.a1
Leehwa Yeh
{"title":"Wigner rotation and its $SO(3)$ model: an active-frame approach","authors":"Leehwa Yeh","doi":"10.4310/amsa.2022.v7.n2.a1","DOIUrl":"https://doi.org/10.4310/amsa.2022.v7.n2.a1","url":null,"abstract":"","PeriodicalId":42896,"journal":{"name":"Annals of Mathematical Sciences and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70392711","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On nonlinear matrix equations from the first standard form 关于非线性矩阵方程的第一种标准形式
IF 0.6
Annals of Mathematical Sciences and Applications Pub Date : 2022-01-01 DOI: 10.4310/amsa.2022.v7.n2.a2
Changli Liu, J. Xue, Ren-Cang Li
{"title":"On nonlinear matrix equations from the first standard form","authors":"Changli Liu, J. Xue, Ren-Cang Li","doi":"10.4310/amsa.2022.v7.n2.a2","DOIUrl":"https://doi.org/10.4310/amsa.2022.v7.n2.a2","url":null,"abstract":"","PeriodicalId":42896,"journal":{"name":"Annals of Mathematical Sciences and Applications","volume":"282 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70392756","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On the non-blow up of energy critical nonlinear massless scalar fields in ‘$3+1$’ dimensional globally hyperbolic spacetimes: light cone estimates “$3+1$”维全局双曲时空中能量临界非线性无质量标量场的非爆炸:光锥估计
IF 0.6
Annals of Mathematical Sciences and Applications Pub Date : 2021-07-05 DOI: 10.4310/amsa.2021.v6.n2.a5
P. Mondal
{"title":"On the non-blow up of energy critical nonlinear massless scalar fields in ‘$3+1$’ dimensional globally hyperbolic spacetimes: light cone estimates","authors":"P. Mondal","doi":"10.4310/amsa.2021.v6.n2.a5","DOIUrl":"https://doi.org/10.4310/amsa.2021.v6.n2.a5","url":null,"abstract":"Here we prove a global existence theorem for the solutions of the semi-linear wave equation with critical non-linearity admitting a positive definite Hamiltonian. Formulating a parametrix for the wave equation in a globally hyperbolic curved spacetime, we derive an apriori pointwise bound for the solution of the nonlinear wave equation in terms of the initial energy, from which the global existence follows in a straightforward way. This is accomplished by two steps. First, based on Moncrief’s light cone formulation we derive an expression for the scalar field in terms of integrals over the past light cone from an arbitrary spacetime point to an ‘initial’, Cauchy hypersurface and additional integrals over the intersection of this cone with the initial hypersurface. Secondly, we obtain apriori estimates for the energy associated with three quasi-local approximate time-like conformal Killing and one approximate Killing vector fields. Utilizing these naturally defined energies associated with the physical stress-energy tensor together with the integral equation, we show that the spacetime L∞ norm of the scalar field remains bounded in terms of the initial data and continues to be so as long as the spacetime remains singularity/Cauchy-horizon free.","PeriodicalId":42896,"journal":{"name":"Annals of Mathematical Sciences and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48266897","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
A structure-preserving method for solving the complex $mathsf{T}$-Hamiltonian eigenvalue problem 求解复$mathsf{T}$-哈密顿特征值问题的结构保持方法
IF 0.6
Annals of Mathematical Sciences and Applications Pub Date : 2021-01-01 DOI: 10.4310/amsa.2021.v6.n2.a4
Heng Tian, Xing-Long Lyu, Tie-xiang Li
{"title":"A structure-preserving method for solving the complex $mathsf{T}$-Hamiltonian eigenvalue problem","authors":"Heng Tian, Xing-Long Lyu, Tie-xiang Li","doi":"10.4310/amsa.2021.v6.n2.a4","DOIUrl":"https://doi.org/10.4310/amsa.2021.v6.n2.a4","url":null,"abstract":"","PeriodicalId":42896,"journal":{"name":"Annals of Mathematical Sciences and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70392585","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Lyapunov functionals for some distributed delay models in epidemiology 流行病学中一些分布延迟模型的Lyapunov泛函
IF 0.6
Annals of Mathematical Sciences and Applications Pub Date : 2021-01-01 DOI: 10.4310/amsa.2021.v6.n2.a2
Kai Liu, Chang-Hong Wu
{"title":"Lyapunov functionals for some distributed delay models in epidemiology","authors":"Kai Liu, Chang-Hong Wu","doi":"10.4310/amsa.2021.v6.n2.a2","DOIUrl":"https://doi.org/10.4310/amsa.2021.v6.n2.a2","url":null,"abstract":"","PeriodicalId":42896,"journal":{"name":"Annals of Mathematical Sciences and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70392556","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信