Bulletin of Mathematical Sciences最新文献_第3页

Critical Kirchhoff equations involving the p-sub-Laplacians operators on the Heisenberg group Heisenberg群上涉及p-次拉普拉斯算子的临界Kirchhoff方程

IF 1.2 2区数学

Bulletin of Mathematical Sciences Pub Date : 2022-08-17 DOI: 10.1142/s1664360722500060

Xueqi Sun, Yueqiang Song, Sihua Liang, Binlin Zhang

引用次数: 2

Value distribution theory on angular domains for holomorphic mappings and arbitrary families of moving hypersurfaces 运动超曲面的全纯映射和任意族角域上的值分布理论

IF 1.2 2区数学

Bulletin of Mathematical Sciences Pub Date : 2022-08-17 DOI: 10.1142/s1664360722500084

S. Quang

引用次数: 0

Some perspectives on (non)local phase transitions and minimal surfaces 关于(非)局部相变和极小表面的一些观点

IF 1.2 2区数学

Bulletin of Mathematical Sciences Pub Date : 2022-07-11 DOI: 10.1142/s1664360723300013

S. Dipierro, E. Valdinoci

引用次数: 2

Alperin weight conjecture and related developments Alperin权重猜想及其发展

IF 1.2 2区数学

Bulletin of Mathematical Sciences Pub Date : 2022-07-01 DOI: 10.1142/s1664360722300055

Zhicheng Feng, Jiping Zhang

引用次数: 1

Simons type formulas for surfaces in Sol3 and applications Sol3表面的Simons型公式及其应用

IF 1.2 2区数学

Bulletin of Mathematical Sciences Pub Date : 2022-05-02 DOI: 10.1142/s1664360723500078

D. Fetcu

引用次数: 0

Calderon-Zygmund operators and their commutators on generalized weighted Orlicz-Morrey spaces 广义加权Orlicz-Morrey空间上的Calderon-Zygmund算子及其对易子

IF 1.2 2区数学

Bulletin of Mathematical Sciences Pub Date : 2022-04-29 DOI: 10.1142/s1664360722500047

F. Deringoz, V. Guliyev, M. Omarova, M. Ragusa

引用次数: 4

Higher differentiability results for solutions to a class of non-homogeneouns elliptic problems under sub-quadratic growth conditions 一类非齐次椭圆型问题在次二次增长条件下解的高可微性

IF 1.2 2区数学

Bulletin of Mathematical Sciences Pub Date : 2022-03-23 DOI: 10.1142/s166436072350008x

A. Clop, A. Gentile, Antonia Passarelli di Napoli

引用次数: 2

Spectral analysis of Jacobi operators and asymptotic behavior of orthogonal polynomials Jacobi算子的谱分析与正交多项式的渐近性

IF 1.2 2区数学

Bulletin of Mathematical Sciences Pub Date : 2022-02-04 DOI: 10.1142/s1664360722500023

D. Yafaev

{"title":"Spectral analysis of Jacobi operators and asymptotic behavior of orthogonal polynomials","authors":"D. Yafaev","doi":"10.1142/s1664360722500023","DOIUrl":"https://doi.org/10.1142/s1664360722500023","url":null,"abstract":"We find and discuss asymptotic formulas for orthonormal polynomials Pn(z) with recurrence coefficients an, bn. Our main goal is to consider the case where off-diagonal elements an → ∞ as n → ∞. Formulas obtained are essentially different for relatively small and large diagonal elements bn. Our analysis is intimately linked with spectral theory of Jacobi operators J with coefficients an, bn and a study of the corresponding second order difference equations. We introduce the Jost solutions fn(z), n ≥ −1, of such equations by a condition for n → ∞ and suggest an Ansatz for them playing the role of the semiclassical Liouville-Green Ansatz for solutions of the Schrödinger equation. This allows us to study the spectral structure of Jacobi operators and their eigenfunctions Pn(z) by traditional methods of spectral theory developed for differential equations. In particular, we express all coefficients in asymptotic formulas for Pn(z) as n → ∞ in terms of the Wronskian of the solutions Pn(z) and fn(z). The formulas obtained for Pn(z) generalize the asymptotic formulas for the classical Hermite polynomials where an = √ (n+ 1)/2 and bn = 0. The spectral structure of Jacobi operators J depends crucially on a rate of growth of the off-diagonal elements an as n → ∞. If the Carleman condition is satisfied, which, roughly speaking, means that an = O(n), and the diagonal elements bn are small compared to an, then J has the absolutely continuous spectrum covering the whole real axis. We obtain an expression for the corresponding spectral measure in terms of the boundary values |f −1(λ ± i0)| of the Jost solutions. On the contrary, if the Carleman condition is violated, then the spectrum of J is discrete. We also review the case of stabilizing recurrence coefficients when an tend to a positive constant and bn → 0 as n → ∞. It turns out that the cases of stabilizing and increasing recurrence coefficients can be treated in an essentially same way.","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2022-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79614372","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: 3

Propagation and reaction–diffusion models with free boundaries 具有自由边界的传播和反应扩散模型

IF 1.2 2区数学

Bulletin of Mathematical Sciences Pub Date : 2022-01-31 DOI: 10.1142/s1664360722300018

Yihong Du

{"title":"Propagation and reaction–diffusion models with free boundaries","authors":"Yihong Du","doi":"10.1142/s1664360722300018","DOIUrl":"https://doi.org/10.1142/s1664360722300018","url":null,"abstract":"In this short survey, we describe some recent developments on the modeling of propagation by reaction-differential equations with free boundaries, which involve local as well as nonlocal diffusion. After the pioneering works of Fisher, Kolmogorov–Petrovski–Piskunov (KPP) and Skellam, the use of reaction–diffusion equations to model propagation and spreading speed has been widely accepted, with remarkable progresses achieved in several directions, notably on propagation in heterogeneous media, models for interacting species including epidemic spreading, and propagation in shifting environment caused by climate change, to mention but a few. Such models involving a free boundary to represent the spreading front have been studied only recently, but fast progress has been made. Here, we will concentrate on these free boundary models, starting with those where spatial dispersal is represented by local diffusion. These include the Fisher–KPP model with free boundary and related problems, where both the one space dimension and high space dimension cases will be examined; they also include some two species population models with free boundaries, where we will show how the long-time dynamics of some competition models can be fully determined. We then consider the nonlocal Fisher–KPP model with free boundary, where the diffusion operator [Formula: see text] is replaced by a nonlocal one involving a kernel function. We will show how a new phenomenon, known as accelerated spreading, can happen to such a model. After that, we will look at some epidemic models with nonlocal diffusion and free boundaries, and show how the long-time dynamics can be rather fully described. Some remarks and comments are made at the end of each section, where related problems and open questions will be briefly discussed.","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91337774","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

On nonexistence of solutions to some time-space fractional evolution equations with transformed space argument 若干具有变换空间参数的时空分数演化方程解的不存在性

IF 1.2 2区数学

Bulletin of Mathematical Sciences Pub Date : 2022-01-28 DOI: 10.1142/s1664360722500096

A. Alsaedi, M. Kirane, A. Fino, B. Ahmad

引用次数: 0