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Long-time asymptotics for the complex nonlinear transverse oscillation equation 复非线性横向振荡方程的长时间渐近性
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2022-04-18 DOI: 10.1142/s021953052250004x
X. Geng, Wenhao Liu, Kedong Wang, Mingming Chen
{"title":"Long-time asymptotics for the complex nonlinear transverse oscillation equation","authors":"X. Geng, Wenhao Liu, Kedong Wang, Mingming Chen","doi":"10.1142/s021953052250004x","DOIUrl":"https://doi.org/10.1142/s021953052250004x","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44356499","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
Global existence and optimal time decay rates for the three-dimensional incompressible Phan-Thien-Tanner model 三维不可压缩Phan-Thien-Tanner模型的全局存在性和最优时间衰减率
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2022-04-18 DOI: 10.1142/s0219530522500051
Yuhui Chen, Wei Luo, Z. Yao
{"title":"Global existence and optimal time decay rates for the three-dimensional incompressible Phan-Thien-Tanner model","authors":"Yuhui Chen, Wei Luo, Z. Yao","doi":"10.1142/s0219530522500051","DOIUrl":"https://doi.org/10.1142/s0219530522500051","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42605391","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
Explicit Representations for Banach Subspaces of Lizorkin Distributions Lizorkin分布的Banach子空间的显式表示
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2022-03-10 DOI: 10.1142/s0219530523500148
Sebastian Neumayer, M. Unser
{"title":"Explicit Representations for Banach Subspaces of Lizorkin Distributions","authors":"Sebastian Neumayer, M. Unser","doi":"10.1142/s0219530523500148","DOIUrl":"https://doi.org/10.1142/s0219530523500148","url":null,"abstract":"The Lizorkin space is well-suited for studying various operators; e.g., fractional Laplacians and the Radon transform. In this paper, we show that the space is unfortunately not complemented in the Schwartz space. However, we can show that it is dense in $C_0(mathbb R^d)$, a property that is shared by the larger Schwartz space and that turns out to be useful for applications. Based on this result, we investigate subspaces of Lizorkin distributions that are Banach spaces and for which a continuous representation operator exists. Then, we introduce a variational framework involving these spaces and that makes use of the constructed operator. By investigating two particular cases of this framework, we are able to strengthen existing results for fractional splines and 2-layer ReLU networks.","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44134712","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: 5
Hyper-Gaussian regularized Whittaker–Kotel’nikov–Shannon sampling series 超高斯正则化Whittaker-Kotel 'nikov-Shannon抽样序列
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2022-01-22 DOI: 10.1142/s0219530521500342
Liangzhi Chen, Yang Wang, Haizhang Zhang
{"title":"Hyper-Gaussian regularized Whittaker–Kotel’nikov–Shannon sampling series","authors":"Liangzhi Chen, Yang Wang, Haizhang Zhang","doi":"10.1142/s0219530521500342","DOIUrl":"https://doi.org/10.1142/s0219530521500342","url":null,"abstract":"The reconstruction of a bandlimited function from its finite sample data is fundamental in signal analysis. It is well known that oversampling of a bandlimited function leads to exponential convergence in its reconstruction. A simple and efficient Gaussian regularized Shannon sampling formula has been proposed in G. W. Wei [Quasi wavelets and quasi interpolating wavelets, Chem. Phys. Lett. 296 (1998) 215–222] with such an exponential convergence ability. We show that all hyper-Gaussian regularized formulas share this desired property. The analysis is built on estimates on the Fourier transform of the hyper-Gaussian functions. We also establish error bounds for the reconstruction of derivatives of a univariate bandlimited function, and for multivariate bandlimited functions.","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44815011","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
Smoothed quantile regression with nonignorable dropouts 平滑分位数回归与不可忽略的辍学
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2022-01-15 DOI: 10.1142/s0219530521500354
Wei Ma, Lei Wang
{"title":"Smoothed quantile regression with nonignorable dropouts","authors":"Wei Ma, Lei Wang","doi":"10.1142/s0219530521500354","DOIUrl":"https://doi.org/10.1142/s0219530521500354","url":null,"abstract":"In this paper, we adopt a three-stage estimation procedure and statistical inference methods for quantile regression (QR) based on empirical likelihood (EL) approach with nonignorable dropouts. In the first stage, we consider a parametric model on the dropout propensity of response and handle the parameter identifiability issue by using nonresponse instrument. With the estimated dropout propensity, in the second stage the inverse probability weighting and kernel smoothing methods are applied to construct the bias-corrected and smoothed generalized estimating equations for nonignorable dropouts. In the third stage, borrowing the matrix expansion idea of quadratic inference function, we obtain the proposed estimators that can accommodate the within-subject correlations and improve the estimation efficiency simultaneously. A class of improved estimators and their confidence regions for QR coefficient are derived. Further, the penalized EL method and algorithm for variable selection are investigated. Simulation studies and a real example on HIV-CD4 data set are also provided to show the performance of the proposed estimators.","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47199965","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
Weighted random sampling and reconstruction in general multivariate trigonometric polynomial spaces 广义多元三角多项式空间中的加权随机采样与重构
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2021-12-31 DOI: 10.1142/s0219530521500330
Wei Li, Jun Xian
{"title":"Weighted random sampling and reconstruction in general multivariate trigonometric polynomial spaces","authors":"Wei Li, Jun Xian","doi":"10.1142/s0219530521500330","DOIUrl":"https://doi.org/10.1142/s0219530521500330","url":null,"abstract":"The set of sampling and reconstruction in trigonometric polynomial spaces will play an important role in signal processing. However, in many applications, the frequencies in trigonometric polynomial spaces are not all integers. In this paper, we consider the problem of weighted random sampling and reconstruction of functions in general multivariate trigonometric polynomial spaces. The sampling set is randomly selected on a bounded cube with a probability distribution. We obtain that with overwhelming probability, the sampling inequality holds and the explicit reconstruction formula succeeds for all functions in the general multivariate trigonometric polynomial spaces when the sampling size is sufficiently large.","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47235262","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
Generalized Appell polynomials and Fueter-Bargmann transforms in the polyanalytic setting 多元解析环境下的广义apell多项式与futer - bargmann变换
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2021-12-30 DOI: 10.1142/s0219530522500191
A. Martino, K. Diki
{"title":"Generalized Appell polynomials and Fueter-Bargmann transforms in the polyanalytic setting","authors":"A. Martino, K. Diki","doi":"10.1142/s0219530522500191","DOIUrl":"https://doi.org/10.1142/s0219530522500191","url":null,"abstract":"‘ispaper dealswith some special integral transforms in the se‹ing of quaternionic valued slice polyanalytic functions. In particular, using the polyanalytic Fueter mappings it is possible to construct a new family of polynomials which are called the generalized Appell polynomials. Furthermore, the range of the polyanalytic Fueter mappings on two different polyanalytic Fock spaces is characterized. Finally, we study the polyanalytic Fueter-Bargmann transforms. AMS Classification: 44A15, 30G35, 42C15, 46E22","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2021-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48871702","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
Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal 含Dirichlet边界条件的趋化流体模型的全局质量保持解
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2021-12-15 DOI: 10.1142/s0219530521500275
Yulan Wang, M. Winkler, Zhaoyin Xiang
{"title":"Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal","authors":"Yulan Wang, M. Winkler, Zhaoyin Xiang","doi":"10.1142/s0219530521500275","DOIUrl":"https://doi.org/10.1142/s0219530521500275","url":null,"abstract":"The chemotaxis-Stokes system [Formula: see text] is considered subject to the boundary condition [Formula: see text] with [Formula: see text] and a given nonnegative function [Formula: see text]. In contrast to the well-studied case when the second requirement herein is replaced by a homogeneous Neumann boundary condition for [Formula: see text], the Dirichlet condition imposed here seems to destroy a natural energy-like property that has formed a core ingredient in the literature by providing comprehensive regularity features of the latter problem. This paper attempts to suitably cope with accordingly poor regularity information in order to nevertheless derive a statement on global existence within a generalized framework of solvability which involves appropriately mild requirements on regularity, but which maintains mass conservation in the first component as a key solution property.","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2021-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46847585","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: 8
Fourier-Bessel Series of Compactly Supported Convolutions on Disks 磁盘上紧支持卷积的傅里叶-贝塞尔级数
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2021-12-14 DOI: 10.1142/s0219530521500366
A. G. Farashahi, G. Chirikjian
{"title":"Fourier-Bessel Series of Compactly Supported Convolutions on Disks","authors":"A. G. Farashahi, G. Chirikjian","doi":"10.1142/s0219530521500366","DOIUrl":"https://doi.org/10.1142/s0219530521500366","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2021-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42319045","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
A new elliptic mixed boundary value problem with (p,q)-Laplacian and Clarke subdifferential: Existence, comparison and convergence results 一个新的具有（p，q）-Laplacian和Clarke次微分的椭圆混合边值问题：存在性、比较和收敛性结果
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2021-12-09 DOI: 10.1142/s0219530521500287
Shengda Zeng, S. Migórski, D. Tarzia
{"title":"A new elliptic mixed boundary value problem with (p,q)-Laplacian and Clarke subdifferential: Existence, comparison and convergence results","authors":"Shengda Zeng, S. Migórski, D. Tarzia","doi":"10.1142/s0219530521500287","DOIUrl":"https://doi.org/10.1142/s0219530521500287","url":null,"abstract":"The goal of this paper is to investigate a new class of elliptic mixed boundary value problems involving a nonlinear and nonhomogeneous partial differential operator [Formula: see text]-Laplacian, and a multivalued term represented by Clarke’s generalized gradient. First, we apply a surjectivity result for multivalued pseudomonotone operators to examine the existence of weak solutions under mild hypotheses. Then, a comparison theorem is delivered, and a convergence result, which reveals the asymptotic behavior of solution when the parameter (heat transfer coefficient) tends to infinity, is obtained. Finally, we establish a continuous dependence result of solution to the boundary value problem on the data.","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2021-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49231199","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
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