Journal of Mathematical Analysis and Applications最新文献_第10页

Generalized m-quasi-Einstein metrics with certain conditions on the potential vector field 势向量场上具有一定条件的广义m-拟爱因斯坦度量

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2025-08-25 DOI: 10.1016/j.jmaa.2025.130004

Amalendu Ghosh

{"title":"Generalized m-quasi-Einstein metrics with certain conditions on the potential vector field","authors":"Amalendu Ghosh","doi":"10.1016/j.jmaa.2025.130004","DOIUrl":"10.1016/j.jmaa.2025.130004","url":null,"abstract":"<div><div>In this paper, we have studied generalized <em>m</em>-quasi-Einstein and <em>m</em>-quasi-Einstein manifold (<span><math><msup><mrow><mi>M</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>,</mo><mi>g</mi><mo>,</mo><mi>X</mi><mo>,</mo><mi>λ</mi><mo>)</mo></math></span> satisfying certain conditions on the potential vector field. First, we classify a compact <em>m</em>-quasi-Einstein metric with geodesic potential and non-positive Ricci tensor. Then, we establish that the potential vector field <em>X</em> of an <em>m</em>-quasi-Einstein metric is Killing if <em>X</em> is an infinitesimal harmonic transformation and geodesic. Further, we classify complete non-compact <em>m</em>-quasi-Einstein metric with Ricci tensor <span><math><mi>S</mi><mo>(</mo><mi>X</mi><mo>,</mo><mi>X</mi><mo>)</mo><mo>≤</mo><mn>0</mn></math></span> when the potential vector field <em>X</em> is an infinitesimal harmonic transformation, or its energy is finite. Furthermore, we establish that the potential vector field <em>X</em> of a compact generalized <em>m</em>-quasi-Einstein manifold is Killing when it satisfies <span><math><mi>d</mi><mi>i</mi><mi>v</mi><mi>X</mi><mo>=</mo><mn>0</mn></math></span>. Finally, we prove that a generalized <em>m</em>-quasi-Einstein manifold is a warped product when its potential vector field is a non-homothetic conformal Killing.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"555 1","pages":"Article 130004"},"PeriodicalIF":1.2,"publicationDate":"2025-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144933802","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

Quasilinear elliptic equations with superlinear convection 具有超线性对流的拟线性椭圆方程

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2025-08-25 DOI: 10.1016/j.jmaa.2025.130005

Genival da Silva

引用次数: 0

On the real zeros of depth 1 quasimodular forms 在深度为1的实零点上的拟模形式

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2025-08-22 DOI: 10.1016/j.jmaa.2025.129991

Bo-Hae Im , Wonwoong Lee

{"title":"On the real zeros of depth 1 quasimodular forms","authors":"Bo-Hae Im , Wonwoong Lee","doi":"10.1016/j.jmaa.2025.129991","DOIUrl":"10.1016/j.jmaa.2025.129991","url":null,"abstract":"<div><div>We discuss the critical points of modular forms, or more generally the zeros of quasimodular forms of depth 1 for <span><math><msub><mrow><mi>PSL</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>(</mo><mi>Z</mi><mo>)</mo></math></span>. In particular, we consider the derivatives of the unique weight <em>k</em> modular forms <span><math><msub><mrow><mi>f</mi></mrow><mrow><mi>k</mi></mrow></msub></math></span> with the maximal number of consecutive zero Fourier coefficients following the constant 1. Our main results state that (1) every zero of a depth 1 quasimodular form near the derivative of the Eisenstein series in the standard fundamental domain lies on the geodesic segment <span><math><mo>{</mo><mi>z</mi><mo>∈</mo><mi>H</mi><mo>:</mo><mo>ℜ</mo><mo>(</mo><mi>z</mi><mo>)</mo><mo>=</mo><mn>1</mn><mo>/</mo><mn>2</mn><mo>}</mo></math></span>, and (2) more than quarter of zeros of <span><math><msub><mrow><mi>f</mi></mrow><mrow><mi>k</mi></mrow></msub></math></span> in the standard fundamental domain lie on the geodesic segment <span><math><mo>{</mo><mi>z</mi><mo>∈</mo><mi>H</mi><mo>:</mo><mo>ℜ</mo><mo>(</mo><mi>z</mi><mo>)</mo><mo>=</mo><mn>1</mn><mo>/</mo><mn>2</mn><mo>}</mo></math></span> for large enough <em>k</em> with <span><math><mi>k</mi><mo>≡</mo><mn>0</mn><mspace></mspace><mo>(</mo><mrow><mi>mod</mi></mrow><mspace></mspace><mn>12</mn><mo>)</mo></math></span>.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"554 2","pages":"Article 129991"},"PeriodicalIF":1.2,"publicationDate":"2025-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144896413","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

Tempered fractional Hawkes process and its generalizations 回火分数Hawkes过程及其推广

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2025-08-22 DOI: 10.1016/j.jmaa.2025.129996

Neha Gupta , Aditya Maheshwari

引用次数: 0

On one dimensional weighted Poincaré inequalities for Global Sensitivity Analysis 全局敏感性分析的一维加权poincarcarr不等式

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2025-08-22 DOI: 10.1016/j.jmaa.2025.129992

David Heredia , Aldéric Joulin , Olivier Roustant

引用次数: 0

Effects of generalist predation and group defense on dynamics and bifurcations of a Leslie type predator–prey system 通才捕食和群体防御对Leslie型捕食-食饵系统动力学和分岔的影响

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2025-08-22 DOI: 10.1016/j.jmaa.2025.129998

Min Lu , Qin Pan , Shujing Shi , Chuang Xiang

引用次数: 0

Long-time dynamics of an infection age-structure SIR epidemic model with nonlocal diffusion of Neumann type 具有诺伊曼型非局部扩散的感染年龄结构SIR流行病模型的长期动力学

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2025-08-22 DOI: 10.1016/j.jmaa.2025.129987

Qian Wen, Huimin Li, Youhui Su

引用次数: 0

Random acoustic boundary conditions and Weyl's law for Laplace-Beltrami operators on non-smooth boundaries 非光滑边界上Laplace-Beltrami算子的随机声学边界条件和Weyl定律

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2025-08-21 DOI: 10.1016/j.jmaa.2025.129985

Illya M. Karabash

{"title":"Random acoustic boundary conditions and Weyl's law for Laplace-Beltrami operators on non-smooth boundaries","authors":"Illya M. Karabash","doi":"10.1016/j.jmaa.2025.129985","DOIUrl":"10.1016/j.jmaa.2025.129985","url":null,"abstract":"<div><div>Motivated by the engineering and photonics research on resonators in random or uncertain environments, we study rigorous randomizations of boundary conditions for wave equations of the acoustic-type in Lipschitz domains <span><math><mi>O</mi></math></span>. First, a parametrization of essentially all m-dissipative boundary conditions by contraction operators in the boundary <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>-space is constructed with the use of m-boundary tuples (boundary value spaces). We consider randomizations of these contraction operators that lead to acoustic operators random in the resolvent sense. To this end, the use of Neumann-to-Dirichlet maps and Krein-type resolvent formulae is crucial. We give a description of random m-dissipative boundary conditions that produce acoustic operators with almost surely (a.s.) compact resolvents, and so, also with a.s. discrete spectra. For each particular applied model, one can choose a specific boundary condition from the constructed class either by means of optimization, or on the base of empirical observations. A mathematically convenient randomization is constructed in terms of eigenfunctions of the Laplace-Beltrami operator <span><math><msup><mrow><mi>Δ</mi></mrow><mrow><mo>∂</mo><mi>O</mi></mrow></msup></math></span> on the boundary <span><math><mo>∂</mo><mi>O</mi></math></span> of the domain. We show that for this randomization the compactness of the resolvent is connected with the Weyl-type asymptotics for the eigenvalues of <span><math><msup><mrow><mi>Δ</mi></mrow><mrow><mo>∂</mo><mi>O</mi></mrow></msup></math></span>.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"554 2","pages":"Article 129985"},"PeriodicalIF":1.2,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144908435","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

Completely monotone functions in general and some applications 一般的完全单调函数和一些应用

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2025-08-21 DOI: 10.1016/j.jmaa.2025.129984

V.E.S. Szabó

引用次数: 0

Quasi-shadowing and quasi-stability of infinite dimensional random partially hyperbolic dynamical system 无限维随机部分双曲动力系统的拟阴影与拟稳定性

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2025-08-21 DOI: 10.1016/j.jmaa.2025.129989

Zhiming Li

引用次数: 0