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Global Existence of Large Data Weak Solutions for a Simplified Compressible Oldroyd--B Model Without Stress Diffusion 无应力扩散的简化可压缩Oldroyd—B模型大数据弱解的整体存在性
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-su3
global sci
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引用次数: 5
A Characterization of Boundedness of Fractional Maximal Operator with Variable Kernel on Herz-Morrey Spaces Herz-Morrey空间上变核分数极大算子的有界性
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-2018-1006
Lütfi Akın
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引用次数: 0
A Note on $Card(X)$ $卡(X)$上的便条
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-su4
global sci
{"title":"A Note on $Card(X)$","authors":"global sci","doi":"10.4208/ata.oa-su4","DOIUrl":"https://doi.org/10.4208/ata.oa-su4","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"60 1","pages":"468-481"},"PeriodicalIF":0.6,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84795893","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
On Well-Posedness of 2D Dissipative Quasi-Geostrophic Equation in Critical Mixed Norm Lebesgue Spaces 临界混合范数Lebesgue空间中二维耗散拟地转方程的适定性
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-0018
global sci
{"title":"On Well-Posedness of 2D Dissipative Quasi-Geostrophic Equation in Critical Mixed Norm Lebesgue Spaces","authors":"global sci","doi":"10.4208/ata.oa-0018","DOIUrl":"https://doi.org/10.4208/ata.oa-0018","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"2 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85808177","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
A Survey on Some Anisotropic Hardy-Type Function Spaces 一些各向异性hardy型函数空间的研究
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-su10
global sci
{"title":"A Survey on Some Anisotropic Hardy-Type Function Spaces","authors":"global sci","doi":"10.4208/ata.oa-su10","DOIUrl":"https://doi.org/10.4208/ata.oa-su10","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"47 1","pages":"373-456"},"PeriodicalIF":0.6,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89803262","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: 3
Eigenvalues of a Differential Operator and Zeros of the Riemann $zeta$-Function 微分算子的特征值与黎曼$zeta$-函数的零点
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-su1
L. Ge
{"title":"Eigenvalues of a Differential Operator and Zeros of the Riemann $zeta$-Function","authors":"L. Ge","doi":"10.4208/ata.oa-su1","DOIUrl":"https://doi.org/10.4208/ata.oa-su1","url":null,"abstract":"The eigenvalues of a differential operator on a Hilbert-Pólya space are determined. It is shown that these eigenvalues are exactly the nontrivial zeros of the Riemann ζ-function. Moreover, their corresponding multiplicities are the same.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"132 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75406985","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
General Optimal Polynomial Approximants, Stabilization, and Projections of Unity 一般最优多项式逼近、稳定和统一的投影
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-03-22 DOI: 10.4208/ata.OA-2020-0047
Christopher Felder
{"title":"General Optimal Polynomial Approximants, Stabilization, and Projections of Unity","authors":"Christopher Felder","doi":"10.4208/ata.OA-2020-0047","DOIUrl":"https://doi.org/10.4208/ata.OA-2020-0047","url":null,"abstract":"For various Hilbert spaces of analytic functions on the unit disk, we characterize when a function $f$ has optimal polynomial approximants given by truncations of a single power series. We also introduce a generalized notion of optimal approximant and use this to explicitly compute orthogonal projections of 1 onto certain shift invariant subspaces.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"7 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88890897","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: 3
Morse Index of Multiple Blow-Up Solutions to the Two-Dimensional Sinh-Poisson Equation 二维Sinh-Poisson方程多个爆破解的Morse指数
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-01-07 DOI: 10.4208/ata.oa-2020-0037
Ruggero Freddi
{"title":"Morse Index of Multiple Blow-Up Solutions to the Two-Dimensional Sinh-Poisson Equation","authors":"Ruggero Freddi","doi":"10.4208/ata.oa-2020-0037","DOIUrl":"https://doi.org/10.4208/ata.oa-2020-0037","url":null,"abstract":"In this paper we consider the Dirichlet problem begin{equation} label{iniz} begin{cases} -Delta u = rho^2 (e^{u} - e^{-u}) & text{ in } Omega u=0 & text{ on } partial Omega, end{cases} end{equation} where $rho$ is a small parameter and $Omega$ is a $C^2$ bounded domain in $mathbb{R}^2$. [1] proves the existence of a $m$-point blow-up solution $u_rho$ jointly with its asymptotic behaviour. we compute the Morse index of $u_rho$ in terms of the Morse index of the associated Hamilton function of this problem. In addition, we give an asymptotic estimate for the first $4m$ eigenvalues and eigenfunctions.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"165 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73579106","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
Monge-Ampère Equation with Bounded Periodic Data 具有有界周期数据的monge - ampantere方程
IF 0.6
Analysis in Theory and Applications Pub Date : 2019-06-06 DOI: 10.4208/ata.oa-0022
Yanyan Li, Siyuan Lu
{"title":"Monge-Ampère Equation with Bounded Periodic Data","authors":"Yanyan Li, Siyuan Lu","doi":"10.4208/ata.oa-0022","DOIUrl":"https://doi.org/10.4208/ata.oa-0022","url":null,"abstract":"We consider the Monge-Ampere equation $det(D^2u)=f$ in $mathbb{R}^n$, where $f$ is a positive bounded periodic function. We prove that $u$ must be the sum of a quadratic polynomial and a periodic function. For $fequiv 1$, this is the classic result by Jorgens, Calabi and Pogorelov. For $fin C^alpha$, this was proved by Caffarelli and the first named author.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"84 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83875253","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: 3
KAM Theory for Partial Differential Equations 偏微分方程的KAM理论
IF 0.6
Analysis in Theory and Applications Pub Date : 2019-06-01 DOI: 10.4208/ATA.OA-0013
M. Berti
{"title":"KAM Theory for Partial Differential Equations","authors":"M. Berti","doi":"10.4208/ATA.OA-0013","DOIUrl":"https://doi.org/10.4208/ATA.OA-0013","url":null,"abstract":"In the last years much progress has been achieved in KAM theory concerning bifurcation of quasi-periodic solutions of Hamiltonian or reversible partial differential equations. We provide an overview of the state of the art in this field.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"10 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86707532","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: 8
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