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Translation and modulation invariant banach spaces of tempered distributions satisfy the metric approximation property 缓变分布的平移和调制不变巴拿赫空间满足度量逼近性质
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2022-08-19 DOI: 10.1142/s021953052240005x
H. Feichtinger
{"title":"Translation and modulation invariant banach spaces of tempered distributions satisfy the metric approximation property","authors":"H. Feichtinger","doi":"10.1142/s021953052240005x","DOIUrl":"https://doi.org/10.1142/s021953052240005x","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44574322","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
A three-dimensional discrete model for approximating the deformation of a viral capsid subjected to lying over a flat surface in the static and time-dependent case 在静态和时间依赖情况下，用于近似病毒衣壳在平面上的变形的三维离散模型
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2022-08-12 DOI: 10.1142/s0219530522400024
Paolo Piersanti, Kristen L. White, B. Dragnea, R. Temam
{"title":"A three-dimensional discrete model for approximating the deformation of a viral capsid subjected to lying over a flat surface in the static and time-dependent case","authors":"Paolo Piersanti, Kristen L. White, B. Dragnea, R. Temam","doi":"10.1142/s0219530522400024","DOIUrl":"https://doi.org/10.1142/s0219530522400024","url":null,"abstract":". In this paper we present a three-dimensional discrete model governing the deformation of a viral capsid, modelled as a regular icosahedron and subjected not to cross a given flat rigid surface on which it initially lies in correspondence of one vertex only. First, we set up the model in the form of a set of variational inequalities posed over a non-empty, closed and convex subset of a suitable space. Secondly, we show the existence and uniqueness of the solution for the proposed model. Thirdly, we numerically test this model and we observe that the outputs of the numerical experiments comply with physics. Finally, we establish the existence of solutions for the corresponding time-dependent obstacle problem.","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47956383","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Compressed Data Separation via Unconstrained l1-Split Analysis 基于无约束l1分割分析的压缩数据分离
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2022-08-12 DOI: 10.1142/s0219530522500130
Mingyang Gu, Song Li, Junhong Lin
{"title":"Compressed Data Separation via Unconstrained l1-Split Analysis","authors":"Mingyang Gu, Song Li, Junhong Lin","doi":"10.1142/s0219530522500130","DOIUrl":"https://doi.org/10.1142/s0219530522500130","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44038476","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Cahn-Hilliard Equations on Random Walk Spaces 随机游走空间上的Cahn-Hilliard方程
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2022-07-26 DOI: 10.1142/s0219530523500045
Jos'e M. Maz'on, J. Toledo
{"title":"Cahn-Hilliard Equations on Random Walk Spaces","authors":"Jos'e M. Maz'on, J. Toledo","doi":"10.1142/s0219530523500045","DOIUrl":"https://doi.org/10.1142/s0219530523500045","url":null,"abstract":"In this paper we study a nonlocal Cahn-Hilliard model (CHE) in the framework of random walk spaces, which includes as particular cases, the CHE on locally finite weighted connected graphs, the CHE determined by finite Markov chains or the Cahn-Hilliard Equations driven by convolution integrable kernels. We consider different transitions for the phase and the chemical potential, and a large class of potentials including obstacle ones. We prove existence and uniqueness of solutions in $L^1$ of the Cahn-Hilliard Equation. We also show that the Cahn-Hilliard equation is the gradient flow of the Ginzburg-Landau free energy functional on an appropriate Hilbert space. We finally study the asymptotic behaviour of the solutions.","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48778058","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Dynamics of dipolar quantum droplets in an extended Gross-Pitaevskii equation in the presence of time-dependent harmonic trapping potential and a damping term 扩展Gross-Pitaevskii方程中偶极量子液滴在时变谐波捕获势和阻尼项下的动力学
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2022-06-22 DOI: 10.1142/s0219530522500117
Brahim Alouini, H. Hajaiej
{"title":"Dynamics of dipolar quantum droplets in an extended Gross-Pitaevskii equation in the presence of time-dependent harmonic trapping potential and a damping term","authors":"Brahim Alouini, H. Hajaiej","doi":"10.1142/s0219530522500117","DOIUrl":"https://doi.org/10.1142/s0219530522500117","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43266915","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 the regularity of multilinear Schrödinger integral operators 多线性Schrödinger积分算子的正则性
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2022-06-22 DOI: 10.1142/s0219530522500099
Aksel Bergfeldt, W. Staubach
{"title":"On the regularity of multilinear Schrödinger integral operators","authors":"Aksel Bergfeldt, W. Staubach","doi":"10.1142/s0219530522500099","DOIUrl":"https://doi.org/10.1142/s0219530522500099","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"63880996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Sparse Regularization with the ℓ0 Norm 稀疏正则化ℓ0标准
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2022-06-22 DOI: 10.1142/s0219530522500105
Yuesheng Xu
{"title":"Sparse Regularization with the ℓ0 Norm","authors":"Yuesheng Xu","doi":"10.1142/s0219530522500105","DOIUrl":"https://doi.org/10.1142/s0219530522500105","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47565031","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Topological states and continuum model for swarmalators without force reciprocity 无力互易的群聚体拓扑状态和连续体模型
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2022-05-31 DOI: 10.1142/s0219530522400073
P. Degond, A. Diez, Adam R. Walczak
{"title":"Topological states and continuum model for swarmalators without force reciprocity","authors":"P. Degond, A. Diez, Adam R. Walczak","doi":"10.1142/s0219530522400073","DOIUrl":"https://doi.org/10.1142/s0219530522400073","url":null,"abstract":"Swarmalators are systems of agents which are both self-propelled particles and oscillators. Each particle is endowed with a phase which modulates its interaction force with the other particles. In return, relative positions modulate phase synchronization between interacting particles. In the present model, there is no force reciprocity: when a particle attracts another one, the latter repels the former. This results in a pursuit behavior. In this paper, we derive a hydrodynamic model of this swarmalator system and show that it has explicit doubly-periodic travelling-wave solutions in two space dimensions. These special solutions enjoy non-trivial topology quantified by the index of the phase vector along a period in either dimension. Stability of these solutions is studied by investigating the conditions for hyperbolicity of the model. Numerical solutions of both the particle and hydrodynamic models are shown. They confirm the consistency of the hydrodynamic model with the particle one for small times or large phase-noise but also reveal the emergence of intriguing patterns in the case of small phase-noise. 1 ar X iv :2 20 5. 15 73 9v 1 [ m at hph ] 3 1 M ay 2 02 2","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44336573","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 Expansion of the Generalized Hypergeometric Function pFq(z) as z→∞ for p< q 广义超几何函数pFq（z）作为z的渐近展开→∞ 对于p<q
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2022-05-31 DOI: 10.1142/s0219530522500087
H. Volkmer
{"title":"Asymptotic Expansion of the Generalized Hypergeometric Function pFq(z) as z→∞ for p< q","authors":"H. Volkmer","doi":"10.1142/s0219530522500087","DOIUrl":"https://doi.org/10.1142/s0219530522500087","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47905836","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Mixed-norm Herz spaces and their applications in related Hardy spaces 混合范数Herz空间及其在相关Hardy空间中的应用
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2022-04-26 DOI: 10.1142/s0219530522500166
Yirui Zhao, Dachun Yang, Yangyang Zhang
{"title":"Mixed-norm Herz spaces and their applications in related Hardy spaces","authors":"Yirui Zhao, Dachun Yang, Yangyang Zhang","doi":"10.1142/s0219530522500166","DOIUrl":"https://doi.org/10.1142/s0219530522500166","url":null,"abstract":"In this paper, the authors introduce a class of mixed-norm Herz spaces, [Formula: see text], which is a natural generalization of mixed-norm Lebesgue spaces and some special cases of which naturally appear in the study of the summability of Fourier transforms on mixed-norm Lebesgue spaces. The authors also give their dual spaces and obtain the Riesz–Thorin interpolation theorem on [Formula: see text]. Applying these Riesz–Thorin interpolation theorem and using some ideas from the extrapolation theorem, the authors establish both the boundedness of the Hardy–Littlewood maximal operator and the Fefferman–Stein vector-valued maximal inequality on [Formula: see text]. As applications, the authors develop various real-variable theory of Hardy spaces associated with [Formula: see text] by using the existing results of Hardy spaces associated with ball quasi-Banach function spaces. These results strongly depend on the duality of [Formula: see text] and the non-trivial constructions of auxiliary functions in the Riesz–Thorin interpolation theorem.","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45294678","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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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