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Concentrating solutions for a fractional p-Laplacian logarithmic Schrodinger equation 分数阶p-拉普拉斯对数薛定谔方程的集中解
2区 数学
Analysis and Applications Pub Date : 2023-09-29 DOI: 10.1142/s0219530523500288
Claudianor O. Alves, Vincenzo Ambrosio
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引用次数: 0
Gabor products and a phase space approach to nonlinear analysis Gabor积和相空间方法的非线性分析
2区 数学
Analysis and Applications Pub Date : 2023-09-08 DOI: 10.1142/s0219530523500252
Nuno Costa Dias, Joao Nuno Prata, Nenad Teofanov
{"title":"Gabor products and a phase space approach to nonlinear analysis","authors":"Nuno Costa Dias, Joao Nuno Prata, Nenad Teofanov","doi":"10.1142/s0219530523500252","DOIUrl":"https://doi.org/10.1142/s0219530523500252","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136362999","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
Some compactly supported riesz wavelets associated to any Ed(2)(ℤ) Dilation 与任意Ed(2)(0)膨胀相关的紧支持riesz小波
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2023-09-01 DOI: 10.1142/s0219530523500203
M. L. Arenas-Blazquez, A. San Antolín
{"title":"Some compactly supported riesz wavelets associated to any Ed(2)(ℤ) Dilation","authors":"M. L. Arenas-Blazquez, A. San Antolín","doi":"10.1142/s0219530523500203","DOIUrl":"https://doi.org/10.1142/s0219530523500203","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44240846","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
Non-Linear Approximation of Functions by Sets of Finite Pseudo-dimension in the Probabilistic and Average Case Settings 有限伪维集函数在概率和平均情况下的非线性逼近
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2023-09-01 DOI: 10.1142/s0219530523500227
Yanyan Xu, Gaunggui Chen, Wenjing Lu
{"title":"Non-Linear Approximation of Functions by Sets of Finite Pseudo-dimension in the Probabilistic and Average Case Settings","authors":"Yanyan Xu, Gaunggui Chen, Wenjing Lu","doi":"10.1142/s0219530523500227","DOIUrl":"https://doi.org/10.1142/s0219530523500227","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46838468","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
Symbolic calculus and M-ellipticity of pseudo-differential operators on ℤn 伪微分算子的符号微积分与m -椭圆性
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2023-09-01 DOI: 10.1142/s0219530523500215
Vishvesh Kumar, Shyam Swarup Mondal
{"title":"Symbolic calculus and M-ellipticity of pseudo-differential operators on ℤn","authors":"Vishvesh Kumar, Shyam Swarup Mondal","doi":"10.1142/s0219530523500215","DOIUrl":"https://doi.org/10.1142/s0219530523500215","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41960130","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
On linear higher order parabolic equations in Morrey spaces Morrey空间中线性高阶抛物方程
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2023-08-18 DOI: 10.1142/s0219530523500161
J. Cholewa, A. Rodríguez-Bernal
{"title":"On linear higher order parabolic equations in Morrey spaces","authors":"J. Cholewa, A. Rodríguez-Bernal","doi":"10.1142/s0219530523500161","DOIUrl":"https://doi.org/10.1142/s0219530523500161","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49101640","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
Prescribed solutions of a nonlinear fractional Schrodinger system with quadratic interaction 具有二次相互作用的非线性分数阶薛定谔系统的定解
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2023-08-18 DOI: 10.1142/s0219530523500185
A. Esfahani
{"title":"Prescribed solutions of a nonlinear fractional Schrodinger system with quadratic interaction","authors":"A. Esfahani","doi":"10.1142/s0219530523500185","DOIUrl":"https://doi.org/10.1142/s0219530523500185","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44225541","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
Instability of Closed p-Elastic Curves in 𝕊2 𝕊2闭合p-弹性曲线的不稳定性
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2023-08-18 DOI: 10.1142/s0219530523500173
A. Gruber, Á. Pámpano, M. Toda
{"title":"Instability of Closed p-Elastic Curves in 𝕊2","authors":"A. Gruber, Á. Pámpano, M. Toda","doi":"10.1142/s0219530523500173","DOIUrl":"https://doi.org/10.1142/s0219530523500173","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46536233","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
Reproducing kernels of Sobolev–Slobodeckij̆ spaces via Green’s kernel approach: Theory and applications 用Green核方法再现Sobolev–Slobodeckij̆空间的核:理论与应用
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2023-07-05 DOI: 10.1142/s0219530523500112
H. Mohebalizadeh, G. Fasshauer, H. Adibi
{"title":"Reproducing kernels of Sobolev–Slobodeckij̆ spaces via Green’s kernel approach: Theory and applications","authors":"H. Mohebalizadeh, G. Fasshauer, H. Adibi","doi":"10.1142/s0219530523500112","DOIUrl":"https://doi.org/10.1142/s0219530523500112","url":null,"abstract":"This paper extends the work of Fasshauer and Ye [Reproducing kernels of Sobolev spaces via a Green kernel approach with differential operators and boundary operators, Adv. Comput. Math. 38(4) (2011) 891921] in two different ways, namely, new kernels and associated native spaces are identified as crucial Hilbert spaces in applied mathematics. These spaces include the following spaces defined in bounded domains [Formula: see text] with smooth boundary: homogeneous Sobolev–Slobodeckij̆ spaces, denoted by [Formula: see text], and Sobolev–Slobodeckij̆ spaces, denoted by [Formula: see text], where [Formula: see text]. Our goal is accomplished by obtaining the Green’s solutions of equations involving the fractional Laplacian and fractional differential operators defined through interpolation theory. We provide a proof that the Green’s kernels satisfying these problems are symmetric and positive definite reproducing kernels of [Formula: see text] and [Formula: see text], respectively. Constructing kernels in these two ways enables the characterization of functions in native spaces based on their regularity. The Galerkin/collocation method, based on these kernels, is employed to solve various fractional problems, offering explicit or simplified calculations and efficient solutions. This method yields improved results with reduced computational costs, making it suitable for complex domains.","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47307360","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
Existence and nonexistence criteria for a system of biharmonic wave inequalities in an exterior domain of ℝN 一个双调和波不等式系统的存在性和不存在性准则
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2023-07-04 DOI: 10.1142/s0219530523500124
M. Jleli, B. Samet
{"title":"Existence and nonexistence criteria for a system of biharmonic wave inequalities in an exterior domain of ℝN","authors":"M. Jleli, B. Samet","doi":"10.1142/s0219530523500124","DOIUrl":"https://doi.org/10.1142/s0219530523500124","url":null,"abstract":"We consider a system of nonlinear biharmonic wave inequalities posed in an exterior domain of [Formula: see text]. Three types of boundary conditions are investigated. For each case, the existence and nonexistence of weak solutions are studied. Our study yields naturally existence and nonexistence results for the corresponding stationary system and equation. Many new results are provided and some open questions are proposed.","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42419768","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
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