Journal of Mathematical Analysis and Applications最新文献_第8页

Lloc1-convergence of Jacobians of Sobolev homeomorphisms via area formula Sobolev同胚jacobian的lloc1收敛性

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2025-05-30 DOI: 10.1016/j.jmaa.2025.129741

Zofia Grochulska

引用次数: 0

On the stability of the viscoelastic Bénard problem in some classes of large data 几类大数据粘弹性bsamadard问题的稳定性

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2025-05-29 DOI: 10.1016/j.jmaa.2025.129732

Qunfeng Zhang, Hao Liu, Xianzhu Xiong

{"title":"On the stability of the viscoelastic Bénard problem in some classes of large data","authors":"Qunfeng Zhang, Hao Liu, Xianzhu Xiong","doi":"10.1016/j.jmaa.2025.129732","DOIUrl":"10.1016/j.jmaa.2025.129732","url":null,"abstract":"<div><div>In this paper, we investigate the Bénard problem of the incompressible viscoelastic fluids heated from below in a three-dimensional periodic cell, and establish the global (-in-time) existence result of unique strong solutions whenever the elasticity coefficient is sufficiently large relative to both norms (of energy space of solutions) of the initial velocity and the initial perturbation temperature. Our new result mathematically verifies that the elasticity under the large elasticity coefficient can inhibit the thermal instability even if both the initial velocity and the initial perturbation temperature are large. Moreover, the solutions also enjoy the exponential decay-in-time. In addition, using the method of vorticity estimates, we further derive that the convergence rate of the nonlinear system towards a linearized pressureless problem, as either time or elasticity coefficient approaches infinity, is in the form of <span><math><mi>c</mi><msup><mrow><mi>κ</mi></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup></math></span>. Our converge rate is faster compared to the known rate <span><math><mi>c</mi><msup><mrow><mi>κ</mi></mrow><mrow><mo>−</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mrow></msup></math></span> first found by Jiang–Jiang in <span><span>[23]</span></span>.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"552 1","pages":"Article 129732"},"PeriodicalIF":1.2,"publicationDate":"2025-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144205132","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

Lp-Hodge decomposition with Sobolev classes in sub-Riemannian contact manifolds 亚黎曼接触流形中Sobolev类的Lp-Hodge分解

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2025-05-29 DOI: 10.1016/j.jmaa.2025.129739

Annalisa Baldi , Alessandro Rosa

引用次数: 0

On some logarithmic submajorisation inequalities of operators in finite von Neumann algebras 有限von Neumann代数中算子的对数次幂不等式

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2025-05-29 DOI: 10.1016/j.jmaa.2025.129735

Ruifeng Sun, Jing Yang, Xingpeng Zhao

引用次数: 0

An evolutionary vector-valued variational inequality and Lagrange multiplier 演化向量值变分不等式与拉格朗日乘数

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2025-05-29 DOI: 10.1016/j.jmaa.2025.129746

Davide Azevedo, Lisa Santos

引用次数: 0

Nodal solutions for fractional Kirchhoff problems involving critical exponential growth 涉及临界指数增长的分数阶Kirchhoff问题的节点解

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2025-05-29 DOI: 10.1016/j.jmaa.2025.129736

R. Clemente , D. Pereira , P. Ubilla

{"title":"Nodal solutions for fractional Kirchhoff problems involving critical exponential growth","authors":"R. Clemente , D. Pereira , P. Ubilla","doi":"10.1016/j.jmaa.2025.129736","DOIUrl":"10.1016/j.jmaa.2025.129736","url":null,"abstract":"<div><div>In this paper we discuss the existence of least energy nodal solutions for a class of fractional Kirchhoff problems <span><math><mrow><mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><msubsup><mrow><mo>[</mo><mi>u</mi><mo>]</mo></mrow><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow><mrow><mn>2</mn></mrow></msubsup><mo>)</mo></mrow><msup><mrow><mo>(</mo><mo>−</mo><mi>Δ</mi><mo>)</mo></mrow><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msup><mi>u</mi></math></span> + <span><math><mi>V</mi><mo>(</mo><mi>x</mi><mo>)</mo><mi>u</mi></math></span> = <span><math><mi>f</mi><mo>(</mo><mi>x</mi><mo>,</mo><mi>u</mi><mo>)</mo></math></span> in <span><math><mi>R</mi></math></span>, where <span><math><mi>a</mi><mo>></mo><mn>0</mn></math></span>, <span><math><mi>b</mi><mo>≥</mo><mn>0</mn></math></span> and <span><math><mi>f</mi><mo>(</mo><mi>x</mi><mo>,</mo><mi>u</mi><mo>)</mo></math></span> is a nonlinear term with critical exponential growth. By using the deformation lemma, we obtain a least energy nodal solution <span><math><msub><mrow><mi>u</mi></mrow><mrow><mi>b</mi></mrow></msub></math></span> for this class of problems. Furthermore, the study of the asymptotic behavior of <span><math><msub><mrow><mi>u</mi></mrow><mrow><mi>b</mi></mrow></msub></math></span> as <span><math><mi>b</mi><mo>→</mo><mn>0</mn></math></span> allows us to prove the existence of nodal solutions for the equation in the absence of the Kirchhoff term. To the best of our knowledge, this is the first result proving the existence of nodal solutions for this type of equations.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"552 1","pages":"Article 129736"},"PeriodicalIF":1.2,"publicationDate":"2025-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144205127","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

The Cauchy wavelet transform for ultradistributions 超分布的柯西小波变换

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2025-05-29 DOI: 10.1016/j.jmaa.2025.129737

Richard D. Carmichael

{"title":"The Cauchy wavelet transform for ultradistributions","authors":"Richard D. Carmichael","doi":"10.1016/j.jmaa.2025.129737","DOIUrl":"10.1016/j.jmaa.2025.129737","url":null,"abstract":"<div><div>The Cauchy wavelet is defined in 1-dimension, and the corresponding Cauchy wavelet transform (<em>CWT</em>) is constructed for functions. This wavelet and its corresponding kernel function for the transform are extended to n-dimension first as a product whose components concern the n components of the variable in <span><math><msup><mrow><mi>R</mi></mrow><mrow><mi>n</mi></mrow></msup></math></span>. The structure of the <em>CWT</em> and its kernel function in this n-dimensional setting is then noted with the kernel function containing derivatives of the classical Cauchy kernel associated with tubes of the form <span><math><msup><mrow><mi>R</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>+</mo><mi>i</mi><msub><mrow><mi>C</mi></mrow><mrow><mi>ν</mi></mrow></msub><mo>⊂</mo><msup><mrow><mi>C</mi></mrow><mrow><mi>n</mi></mrow></msup></math></span> where <span><math><msub><mrow><mi>C</mi></mrow><mrow><mi>ν</mi></mrow></msub></math></span> is any of the <span><math><msup><mrow><mn>2</mn></mrow><mrow><mi>n</mi></mrow></msup></math></span> n-rants in <span><math><msup><mrow><mi>R</mi></mrow><mrow><mi>n</mi></mrow></msup></math></span>. With this view of the form of the CWT we then extend the kernel function to have the form of derivatives of the Cauchy kernel defined with respect to complex variables in tubes <span><math><msup><mrow><mi>T</mi></mrow><mrow><mi>C</mi></mrow></msup><mo>=</mo><msup><mrow><mi>R</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>+</mo><mi>i</mi><mi>C</mi><mo>⊂</mo><msup><mrow><mi>C</mi></mrow><mrow><mi>n</mi></mrow></msup></math></span> where <em>C</em> is a cone in <span><math><msup><mrow><mi>R</mi></mrow><mrow><mi>n</mi></mrow></msup></math></span>. We then apply a defined ultradistribution to this extended kernel function to obtain the <em>CWT</em> that we study. Properties of this <em>CWT</em> for ultradistributions which we obtain concern the analyticity of the transform, pointwise growth, norm growth, and boundary limit properties of the transform.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"552 1","pages":"Article 129737"},"PeriodicalIF":1.2,"publicationDate":"2025-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144222406","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

Topological structure of the set of solution for singular elliptic equations with a convective term 具有对流项的奇异椭圆方程解集的拓扑结构

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2025-05-29 DOI: 10.1016/j.jmaa.2025.129738

J.V. Goncalves , M.R. Marcial , O.H. Miyagaki , C.A.P. dos Santos

引用次数: 0

On a class of generalized Berezin type operators on the unit ball of Cn Cn单位球上的一类广义Berezin型算子

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2025-05-29 DOI: 10.1016/j.jmaa.2025.129745

Jin Lu , Ruhan Zhao , Lifang Zhou

{"title":"On a class of generalized Berezin type operators on the unit ball of Cn","authors":"Jin Lu , Ruhan Zhao , Lifang Zhou","doi":"10.1016/j.jmaa.2025.129745","DOIUrl":"10.1016/j.jmaa.2025.129745","url":null,"abstract":"<div><div>We characterize boundedness of a class of generalized Berezin type operators <span><math><msubsup><mrow><mi>S</mi></mrow><mrow><mi>μ</mi></mrow><mrow><mi>s</mi><mo>,</mo><mi>β</mi><mo>,</mo><mi>r</mi></mrow></msubsup></math></span> from a weighted Bergman space to a weighted Lebesgue space on the unit ball of <span><math><msup><mrow><mi>C</mi></mrow><mrow><mi>n</mi></mrow></msup></math></span>. These types of operators are crucial in characterizing Carleson measures through products of functions. By an improved method using Khinchine's inequality and Khinchine-Kahane-Kalton inequality, our result not only extends a previous result on these operators to a large scale, but also removes an extra restrictive condition to that result. When <span><math><mo>(</mo><mi>s</mi><mo>,</mo><mi>β</mi><mo>,</mo><mi>r</mi><mo>)</mo><mo>=</mo><mo>(</mo><mn>0</mn><mo>,</mo><mi>β</mi><mo>,</mo><mn>1</mn><mo>)</mo></math></span>, our result also recovers a recent result on boundedness of Berezin type operators. As an application, we provide an alternate proof of a necessary condition for the parameter <em>c</em> in the <span><math><msubsup><mrow><mi>L</mi></mrow><mrow><mi>α</mi></mrow><mrow><mi>p</mi></mrow></msubsup><mo>−</mo><msubsup><mrow><mi>L</mi></mrow><mrow><mi>β</mi></mrow><mrow><mi>q</mi></mrow></msubsup></math></span> boundedness of the Forelli-Rudin type operator <span><math><msub><mrow><mi>S</mi></mrow><mrow><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi></mrow></msub></math></span>.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"552 1","pages":"Article 129745"},"PeriodicalIF":1.2,"publicationDate":"2025-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144222402","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

Global well-posedness and decay estimates for the 2D chemotaxis model with the supercritical case 超临界情况下二维趋化性模型的全局适定性和衰减估计

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2025-05-29 DOI: 10.1016/j.jmaa.2025.129731

Peiyi Liu , Qian Zhang

引用次数: 0