Journal of Functional Analysis最新文献_第10页

Determination of quasilinear terms from restricted data and point measurements 从受限数据和点测量中确定准线性项

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2024-07-31 DOI: 10.1016/j.jfa.2024.110612

Yavar Kian

引用次数: 0

Non-self-adjoint quasi-periodic operators with complex spectrum 具有复频谱的非自交准周期算子

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2024-07-31 DOI: 10.1016/j.jfa.2024.110614

Zhenfu Wang, Jiangong You, Qi Zhou

引用次数: 0

Localization of Beltrami fields: Global smooth solutions and vortex reconnection for the Navier-Stokes equations 贝尔特拉米场的局部化：纳维-斯托克斯方程的全局平稳解与涡流重联

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2024-07-30 DOI: 10.1016/j.jfa.2024.110610

Gennaro Ciampa , Renato Lucà

{"title":"Localization of Beltrami fields: Global smooth solutions and vortex reconnection for the Navier-Stokes equations","authors":"Gennaro Ciampa , Renato Lucà","doi":"10.1016/j.jfa.2024.110610","DOIUrl":"10.1016/j.jfa.2024.110610","url":null,"abstract":"<div>We introduce a class of divergence-free vector fields on <math><msup><mrow><mi>R</mi></mrow><mrow><mn>3</mn></mrow></msup></math> obtained after a suitable localization of Beltrami fields. First, we use them as initial data to construct unique global smooth solutions of the three dimensional Navier-Stokes equations. The relevant fact here is that these initial data can be chosen to be large in any critical space for the Navier–Stokes problem, however they satisfy the nonlinear smallness assumption introduced in [10]. As a further application of the method, we use these vector fields to provide analytical example of vortex-reconnection for the three-dimensional Navier-Stokes equations on <math><msup><mrow><mi>R</mi></mrow><mrow><mn>3</mn></mrow></msup></math>. To do so, we exploit the ideas developed in [13] but differently from this latter we cannot rely on the non-trivial homotopy of the three-dimensional torus. To overcome this obstacle we use a different topological invariant, i.e. the number of hyperbolic zeros of the vorticity field.</div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0022123624002982/pdfft?md5=bd4ea9dcf91041c5a984937fea1ce849&pid=1-s2.0-S0022123624002982-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141948998","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On the asymptotic behaviour of the fractional Sobolev seminorms: A geometric approach 关于分数索波列弗半矩阵的渐近行为：几何方法

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2024-07-30 DOI: 10.1016/j.jfa.2024.110608

Bang-Xian Han

引用次数: 0

KPZ equation limit of sticky Brownian motion 粘性布朗运动的 KPZ 方程极限

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2024-07-30 DOI: 10.1016/j.jfa.2024.110609

Sayan Das , Hindy Drillick , Shalin Parekh

{"title":"KPZ equation limit of sticky Brownian motion","authors":"Sayan Das , Hindy Drillick , Shalin Parekh","doi":"10.1016/j.jfa.2024.110609","DOIUrl":"10.1016/j.jfa.2024.110609","url":null,"abstract":"<div>We consider the motion of a particle under a continuum random environment whose distribution is given by the Howitt-Warren flow. In the moderate deviation regime, we establish that the quenched density of the motion of the particle (after appropriate centering and scaling) converges weakly to the <math><mo>(</mo><mn>1</mn><mo>+</mo><mn>1</mn><mo>)</mo></math> dimensional stochastic heat equation driven by multiplicative space-time white noise. Our result confirms physics predictions and computations in [66], [7] and is the first rigorous instance of such weak convergence in the moderate deviation regime. Our proof relies on a certain Girsanov transform and works for all Howitt-Warren flows with finite and nonzero characteristic measures. Our results capture universality in the sense that the limiting distribution depends on the flow only via the total mass of the characteristic measure. As a corollary of our results, we prove that the fluctuations of the maximum of an N-point sticky Brownian motion are given by the KPZ equation plus an independent Gumbel on timescales of order <math><msup><mrow><mo>(</mo><mi>log</mi><mo>⁡</mo><mi>N</mi><mo>)</mo></mrow><mrow><mn>2</mn></mrow></msup></math>.</div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141949000","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: 0

On bilinear Strichartz estimates on waveguides with applications 波导上的双线性斯特里哈茨估计及其应用

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2024-07-24 DOI: 10.1016/j.jfa.2024.110595

Yangkendi Deng , Chenjie Fan , Kailong Yang , Zehua Zhao , Jiqiang Zheng

引用次数: 0

Quantitative relaxation towards equilibrium for solutions to the Boltzmann-Fermi-Dirac equation with cutoff hard potentials 具有截止硬电势的玻尔兹曼-费米-狄拉克方程解向平衡的定量弛豫

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2024-07-22 DOI: 10.1016/j.jfa.2024.110599

T. Borsoni , B. Lods

引用次数: 0

Linear versus nonlinear forms of partial unconditionality of bases 碱基部分无条件性的线性与非线性形式

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2024-07-22 DOI: 10.1016/j.jfa.2024.110594

Fernando Albiac , José L. Ansorena , Miguel Berasategui

{"title":"Linear versus nonlinear forms of partial unconditionality of bases","authors":"Fernando Albiac , José L. Ansorena , Miguel Berasategui","doi":"10.1016/j.jfa.2024.110594","DOIUrl":"10.1016/j.jfa.2024.110594","url":null,"abstract":"<div>The main results in this paper contribute to bringing to the fore novel underlying connections between the contemporary concepts and methods springing from greedy approximation theory with the well-established techniques of classical Banach spaces. We do that by showing that bounded-oscillation unconditional bases, introduced by Dilworth et al. in 2009 in the setting of their search for extraction principles of subsequences verifying partial forms of unconditionality, are the same as truncation quasi-greedy bases, a new breed of bases that appear naturally in the study of the performance of the thresholding greedy algorithm in Banach spaces. We use this identification to provide examples of bases that exhibit that bounded-oscillation unconditionality is a stronger condition than Elton's near unconditionality. We also take advantage of our arguments to provide examples that allow us to tell apart certain types of bases that verify either debilitated unconditionality conditions or weaker forms of quasi-greediness in the context of abstract approximation theory.</div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0022123624002829/pdfft?md5=d1eaf1259e1f6e43185ebe7056350763&pid=1-s2.0-S0022123624002829-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141949007","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On the norm of the Hilbert matrix operator on weighted Bergman spaces 论加权伯格曼空间上希尔伯特矩阵算子的规范

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2024-07-22 DOI: 10.1016/j.jfa.2024.110587

Jineng Dai

引用次数: 0

The L2 Aeppli-Bott-Chern Hilbert complex L2 艾普利-波特-切恩希尔伯特复数

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2024-07-22 DOI: 10.1016/j.jfa.2024.110596

Tom Holt , Riccardo Piovani

引用次数: 0