Integral Equations and Operator Theory最新文献

筛选
英文 中文
Stability Analysis of a Simple Discretization Method for a Class of Strongly Singular Integral Equations 一类强奇异积分方程的一种简单离散方法的稳定性分析
3区 数学
Integral Equations and Operator Theory Pub Date : 2023-11-12 DOI: 10.1007/s00020-023-02750-7
Martin Costabel, Monique Dauge, Khadijeh Nedaiasl
{"title":"Stability Analysis of a Simple Discretization Method for a Class of Strongly Singular Integral Equations","authors":"Martin Costabel, Monique Dauge, Khadijeh Nedaiasl","doi":"10.1007/s00020-023-02750-7","DOIUrl":"https://doi.org/10.1007/s00020-023-02750-7","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":"49 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135037590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Decay Rate of $$varvec{exp (A^{-1}t)A^{-1}}$$ on a Hilbert Space and the Crank–Nicolson Scheme with Smooth Initial Data Hilbert空间上$$varvec{exp (A^{-1}t)A^{-1}}$$的衰减率及初始数据光滑的Crank-Nicolson格式
3区 数学
Integral Equations and Operator Theory Pub Date : 2023-11-12 DOI: 10.1007/s00020-023-02748-1
Masashi Wakaiki
{"title":"Decay Rate of $$varvec{exp (A^{-1}t)A^{-1}}$$ on a Hilbert Space and the Crank–Nicolson Scheme with Smooth Initial Data","authors":"Masashi Wakaiki","doi":"10.1007/s00020-023-02748-1","DOIUrl":"https://doi.org/10.1007/s00020-023-02748-1","url":null,"abstract":"Abstract This paper is concerned with the decay rate of $$e^{A^{-1}t}A^{-1}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:msup> <mml:mi>e</mml:mi> <mml:mrow> <mml:msup> <mml:mi>A</mml:mi> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> <mml:mi>t</mml:mi> </mml:mrow> </mml:msup> <mml:msup> <mml:mi>A</mml:mi> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> </mml:mrow> </mml:math> for the generator A of an exponentially stable $$C_0$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msub> <mml:mi>C</mml:mi> <mml:mn>0</mml:mn> </mml:msub> </mml:math> -semigroup on a Hilbert space. To estimate the decay rate of $$e^{A^{-1}t}A^{-1}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:msup> <mml:mi>e</mml:mi> <mml:mrow> <mml:msup> <mml:mi>A</mml:mi> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> <mml:mi>t</mml:mi> </mml:mrow> </mml:msup> <mml:msup> <mml:mi>A</mml:mi> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> </mml:mrow> </mml:math> , we apply a bounded functional calculus. Using this estimate and Lyapunov equations, we also study the quantified asymptotic behavior of the Crank-Nicolson scheme with smooth initial data. A similar argument is applied to a polynomially stable $$C_0$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msub> <mml:mi>C</mml:mi> <mml:mn>0</mml:mn> </mml:msub> </mml:math> -semigroup whose generator is normal.","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":"26 12","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135037286","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Heat Flow in Polygons with Reflecting Edges 具有反射边的多边形中的热流
3区 数学
Integral Equations and Operator Theory Pub Date : 2023-11-07 DOI: 10.1007/s00020-023-02749-0
Sam Farrington, Katie Gittins
{"title":"Heat Flow in Polygons with Reflecting Edges","authors":"Sam Farrington, Katie Gittins","doi":"10.1007/s00020-023-02749-0","DOIUrl":"https://doi.org/10.1007/s00020-023-02749-0","url":null,"abstract":"Abstract We investigate the heat flow in an open, bounded set D in $$mathbb {R}^2$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msup> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:mn>2</mml:mn> </mml:msup> </mml:math> with polygonal boundary $$partial D$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>∂</mml:mi> <mml:mi>D</mml:mi> </mml:mrow> </mml:math> . We suppose that D contains an open, bounded set $$widetilde{D}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mover> <mml:mi>D</mml:mi> <mml:mo>~</mml:mo> </mml:mover> </mml:math> with polygonal boundary $$partial widetilde{D}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>∂</mml:mi> <mml:mover> <mml:mi>D</mml:mi> <mml:mo>~</mml:mo> </mml:mover> </mml:mrow> </mml:math> . The initial condition is the indicator function of $$widetilde{D}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mover> <mml:mi>D</mml:mi> <mml:mo>~</mml:mo> </mml:mover> </mml:math> and we impose a Neumann boundary condition on the edges of $$partial D$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>∂</mml:mi> <mml:mi>D</mml:mi> </mml:mrow> </mml:math> . We obtain an asymptotic formula for the heat content of $$widetilde{D}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mover> <mml:mi>D</mml:mi> <mml:mo>~</mml:mo> </mml:mover> </mml:math> in D as time $$tdownarrow 0$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>t</mml:mi> <mml:mo>↓</mml:mo> <mml:mn>0</mml:mn> </mml:mrow> </mml:math> .","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":"316 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135474920","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Dyadic Maximal Operators on Martingale Musielak–Orlicz Hardy Type Spaces and Applications 鞅Musielak-Orlicz Hardy型空间上的并矢极大算子及其应用
3区 数学
Integral Equations and Operator Theory Pub Date : 2023-11-07 DOI: 10.1007/s00020-023-02747-2
Weisz Ferenc, Guangheng Xie, Dachun Yang
{"title":"Dyadic Maximal Operators on Martingale Musielak–Orlicz Hardy Type Spaces and Applications","authors":"Weisz Ferenc, Guangheng Xie, Dachun Yang","doi":"10.1007/s00020-023-02747-2","DOIUrl":"https://doi.org/10.1007/s00020-023-02747-2","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":"63 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135476598","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 Power Set of Quasinilpotent Operators 关于拟幂算子的幂集
3区 数学
Integral Equations and Operator Theory Pub Date : 2023-10-12 DOI: 10.1007/s00020-023-02745-4
Youqing Ji, Yuanhang Zhang
{"title":"On the Power Set of Quasinilpotent Operators","authors":"Youqing Ji, Yuanhang Zhang","doi":"10.1007/s00020-023-02745-4","DOIUrl":"https://doi.org/10.1007/s00020-023-02745-4","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135970084","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
An Improved Discrete p-Hardy Inequality 一个改进的离散p-Hardy不等式
3区 数学
Integral Equations and Operator Theory Pub Date : 2023-09-29 DOI: 10.1007/s00020-023-02743-6
Florian Fischer, Matthias Keller, Felix Pogorzelski
{"title":"An Improved Discrete p-Hardy Inequality","authors":"Florian Fischer, Matthias Keller, Felix Pogorzelski","doi":"10.1007/s00020-023-02743-6","DOIUrl":"https://doi.org/10.1007/s00020-023-02743-6","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135131712","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Semiflows, Composition Semigroups, and the Approximation of Dirichlet-to-Neumann Semigroups 半流、复合半群和Dirichlet-to-Neumann半群的逼近
3区 数学
Integral Equations and Operator Theory Pub Date : 2023-09-22 DOI: 10.1007/s00020-023-02744-5
Lars Perlich
{"title":"Semiflows, Composition Semigroups, and the Approximation of Dirichlet-to-Neumann Semigroups","authors":"Lars Perlich","doi":"10.1007/s00020-023-02744-5","DOIUrl":"https://doi.org/10.1007/s00020-023-02744-5","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136060442","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
(Strongly-)Dunford–Pettis Operators and Narrow Operators (强-)邓福德-佩蒂斯算子和狭义算子
3区 数学
Integral Equations and Operator Theory Pub Date : 2023-09-16 DOI: 10.1007/s00020-023-02739-2
Jinghao Huang, Marat Pliev, Fedor Sukochev
{"title":"(Strongly-)Dunford–Pettis Operators and Narrow Operators","authors":"Jinghao Huang, Marat Pliev, Fedor Sukochev","doi":"10.1007/s00020-023-02739-2","DOIUrl":"https://doi.org/10.1007/s00020-023-02739-2","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135307134","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Representations and Regularity of Vector-Valued Right-Shift Invariant Operators Between Half-Line Bessel Potential Spaces 半线Bessel势空间中向量值右移不变算子的表示及其正则性
IF 0.8 3区 数学
Integral Equations and Operator Theory Pub Date : 2023-08-25 DOI: 10.1007/s00020-023-02738-3
C. Guiver, M. Opmeer
{"title":"Representations and Regularity of Vector-Valued Right-Shift Invariant Operators Between Half-Line Bessel Potential Spaces","authors":"C. Guiver, M. Opmeer","doi":"10.1007/s00020-023-02738-3","DOIUrl":"https://doi.org/10.1007/s00020-023-02738-3","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":"95 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44074256","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Correction to: Generalization of Schur’s Test and Its Application to a Class of Integral Operators on the Unit Ball of Cndocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} 修正:Schur检验的推广及其在Cndocumentclass[12pt]{minimum}usepackage{amsmath}usepackage{wasysym}usecpackage{amsfonts}ucepackage{amssymb}use package{amsbsy} usepackage{mathrsfs}userpackage{upgek}单位球上一类积分算子上的应用
IF 0.8 3区 数学
Integral Equations and Operator Theory Pub Date : 2023-07-13 DOI: 10.1007/s00020-023-02728-5
R. Zhao
{"title":"Correction to: Generalization of Schur’s Test and Its Application to a Class of Integral Operators on the Unit Ball of Cndocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} ","authors":"R. Zhao","doi":"10.1007/s00020-023-02728-5","DOIUrl":"https://doi.org/10.1007/s00020-023-02728-5","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47580387","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
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
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