Integral Equations and Operator Theory最新文献_第4页

Indefinite Sturm–Liouville Operators in Polar Form 极点形式的无穷 Sturm-Liouville 算子

IF 0.8 3区数学

Integral Equations and Operator Theory Pub Date : 2024-01-25 DOI: 10.1007/s00020-023-02746-3

Branko Ćurgus, Volodymyr Derkach, Carsten Trunk

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引用次数: 0

Some Operator Ideal Properties of Volterra Operators on Bergman and Bloch Spaces 伯格曼和布洛赫空间上 Volterra 算子的一些算子理想特性

IF 0.8 3区数学

Integral Equations and Operator Theory Pub Date : 2023-12-10 DOI: 10.1007/s00020-023-02742-7

Joelle Jreis, Pascal Lefèvre

引用次数: 0

Phases of Sectorial Operators 扇区运算符的阶段

IF 0.8 3区数学

Integral Equations and Operator Theory Pub Date : 2023-11-21 DOI: 10.1007/s00020-023-02752-5

Tianqiu Yu, Di Zhao, Li Qiu

引用次数: 0

Denjoy–Wolff Points on the Bidisk via Models 通过模型分析Bidisk的Denjoy-Wolff点

3区数学

Integral Equations and Operator Theory Pub Date : 2023-11-14 DOI: 10.1007/s00020-023-02751-6

Michael T. Jury, Georgios Tsikalas

引用次数: 0

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

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

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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

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

引用次数: 0

An Improved Discrete p-Hardy Inequality 一个改进的离散p-Hardy不等式