发布求助
文献互助 智能选刊 最新文献

Journal of Functional Analysis最新文献

筛选
英文 中文
Fluctuations of the Stieltjes transform of the empirical spectral distribution of selfadjoint polynomials in Wigner and deterministic diagonal matrices Wigner和确定性对角矩阵中自伴随多项式经验谱分布的Stieltjes变换波动
IF 1.7 2区 数学
Journal of Functional Analysis Pub Date : 2025-05-30 DOI: 10.1016/j.jfa.2025.111083
Serban Belinschi , Mireille Capitaine , Sandrine Dallaporta , Maxime Fevrier
{"title":"Fluctuations of the Stieltjes transform of the empirical spectral distribution of selfadjoint polynomials in Wigner and deterministic diagonal matrices","authors":"Serban Belinschi ,&nbsp;Mireille Capitaine ,&nbsp;Sandrine Dallaporta ,&nbsp;Maxime Fevrier","doi":"10.1016/j.jfa.2025.111083","DOIUrl":"10.1016/j.jfa.2025.111083","url":null,"abstract":"<div><div>We investigate the fluctuations around the mean of the Stieltjes transform of the empirical spectral distribution of any selfadjoint noncommutative polynomial in a Wigner matrix and a deterministic diagonal matrix. We obtain the convergence in distribution to a centered complex Gaussian process whose covariance is expressed in terms of operator-valued subordination functions.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 9","pages":"Article 111083"},"PeriodicalIF":1.7,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144270403","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
Stability of n-solitons for the Camassa-Holm equation Camassa-Holm方程n孤子的稳定性
IF 1.7 2区 数学
Journal of Functional Analysis Pub Date : 2025-05-30 DOI: 10.1016/j.jfa.2025.111084
Ji Li, Honghu Zhang
{"title":"Stability of n-solitons for the Camassa-Holm equation","authors":"Ji Li,&nbsp;Honghu Zhang","doi":"10.1016/j.jfa.2025.111084","DOIUrl":"10.1016/j.jfa.2025.111084","url":null,"abstract":"<div><div>In this paper, we investigate the stability of <em>n</em>-soliton solutions to the Camassa-Holm (CH) equation. This is achieved by constructing a Lyapunov functional comprised of local independent conservation laws and higher order terms. We first address the issue of non-uniqueness of local conservation laws arising from the recursion operator, and establish the linear representation between two series of local laws generated by the bi-Hamiltonian structure. With the construction of local independent laws, it is then demonstrated that <em>n</em>-solitons actually realize non-isolated constraint minimizers, based on spectral analysis and computation of Wronskain determinant.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 9","pages":"Article 111084"},"PeriodicalIF":1.7,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144221355","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
Null-Lagrangians and calibrations for general nonlocal functionals and an application to the viscosity theory 一般非定域泛函的零拉格朗日量和定标及其在粘度理论中的应用
IF 1.7 2区 数学
Journal of Functional Analysis Pub Date : 2025-05-30 DOI: 10.1016/j.jfa.2025.111086
Xavier Cabré , Iñigo U. Erneta , Juan-Carlos Felipe-Navarro
{"title":"Null-Lagrangians and calibrations for general nonlocal functionals and an application to the viscosity theory","authors":"Xavier Cabré ,&nbsp;Iñigo U. Erneta ,&nbsp;Juan-Carlos Felipe-Navarro","doi":"10.1016/j.jfa.2025.111086","DOIUrl":"10.1016/j.jfa.2025.111086","url":null,"abstract":"<div><div>In this article we build a null-Lagrangian and a calibration for general nonlocal elliptic functionals in the presence of a field of extremals. Thus, our construction assumes the existence of a family of solutions to the Euler-Lagrange equation whose graphs produce a foliation. Then, as a consequence of the calibration, we show the minimality of each leaf in the foliation. Our model case is the energy functional for the fractional Laplacian, for which such a null-Lagrangian was recently discovered by us.</div><div>As a first application of our calibration, we show that monotone solutions to translation invariant nonlocal equations are minimizers. Our second application is somehow surprising, since here “minimality” is assumed instead of being concluded. We will see that the foliation framework is broad enough to provide a proof which establishes that minimizers of nonlocal elliptic functionals are viscosity solutions.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 9","pages":"Article 111086"},"PeriodicalIF":1.7,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144221358","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 the global in time existence and uniqueness of solutions to the Boltzmann hierarchy 玻尔兹曼级数解的全局时间存在唯一性
IF 1.7 2区 数学
Journal of Functional Analysis Pub Date : 2025-05-30 DOI: 10.1016/j.jfa.2025.111079
Ioakeim Ampatzoglou , Joseph K. Miller , Nataša Pavlović , Maja Tasković
{"title":"On the global in time existence and uniqueness of solutions to the Boltzmann hierarchy","authors":"Ioakeim Ampatzoglou ,&nbsp;Joseph K. Miller ,&nbsp;Nataša Pavlović ,&nbsp;Maja Tasković","doi":"10.1016/j.jfa.2025.111079","DOIUrl":"10.1016/j.jfa.2025.111079","url":null,"abstract":"<div><div>In this paper we establish the global in time existence and uniqueness of solutions to the Boltzmann hierarchy, a hierarchy of equations instrumental for the rigorous derivation of the Boltzmann equation from many particles. Inspired by available <span><math><msup><mrow><mi>L</mi></mrow><mrow><mo>∞</mo></mrow></msup></math></span>-based a-priori estimate for solutions to the Boltzmann equation, we develop the polynomially weighted <span><math><msup><mrow><mi>L</mi></mrow><mrow><mo>∞</mo></mrow></msup></math></span> a-priori bounds for solutions to the Boltzmann hierarchy and handle the factorial growth of the number of terms in the Dyson's series by reorganizing the sum through a combinatorial technique known as the Klainerman-Machedon board game argument. This paper is the first work that exploits such a combinatorial technique in conjunction with an <span><math><msup><mrow><mi>L</mi></mrow><mrow><mo>∞</mo></mrow></msup></math></span>-based estimate to prove uniqueness of the mild solutions to the Boltzmann hierarchy. Our proof of existence of global in time mild solutions to the Boltzmann hierarchy for admissible initial data is constructive and it employs known global in time solutions to the Boltzmann equation via a Hewitt-Savage type theorem.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 9","pages":"Article 111079"},"PeriodicalIF":1.7,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144242641","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
Regularity for the fractional p-Laplace equation 分数阶p-拉普拉斯方程的正则性
IF 1.7 2区 数学
Journal of Functional Analysis Pub Date : 2025-05-30 DOI: 10.1016/j.jfa.2025.111078
Verena Bögelein , Frank Duzaar , Naian Liao , Giovanni Molica Bisci , Raffaella Servadei
{"title":"Regularity for the fractional p-Laplace equation","authors":"Verena Bögelein ,&nbsp;Frank Duzaar ,&nbsp;Naian Liao ,&nbsp;Giovanni Molica Bisci ,&nbsp;Raffaella Servadei","doi":"10.1016/j.jfa.2025.111078","DOIUrl":"10.1016/j.jfa.2025.111078","url":null,"abstract":"<div><div>Higher Sobolev and Hölder regularity is studied for local weak solutions of the fractional <em>p</em>-Laplace equation of order <em>s</em> in the case <span><math><mi>p</mi><mo>≥</mo><mn>2</mn></math></span>. Depending on the regime considered, i.e.<span><span><span><math><mn>0</mn><mo>&lt;</mo><mi>s</mi><mo>≤</mo><mfrac><mrow><mi>p</mi><mo>−</mo><mn>2</mn></mrow><mrow><mi>p</mi></mrow></mfrac><mspace></mspace><mtext>or</mtext><mspace></mspace><mfrac><mrow><mi>p</mi><mo>−</mo><mn>2</mn></mrow><mrow><mi>p</mi></mrow></mfrac><mo>&lt;</mo><mi>s</mi><mo>&lt;</mo><mn>1</mn><mo>,</mo></math></span></span></span> precise local estimates are proven. The relevant estimates are stable if the fractional order <em>s</em> reaches 1; the known Sobolev regularity estimates for the local <em>p</em>-Laplace are recovered. The case <span><math><mi>p</mi><mo>=</mo><mn>2</mn></math></span> reproduces the almost <span><math><msubsup><mrow><mi>W</mi></mrow><mrow><mi>loc</mi></mrow><mrow><mn>1</mn><mo>+</mo><mi>s</mi><mo>,</mo><mn>2</mn></mrow></msubsup></math></span>-regularity for the fractional Laplace equation of any order <span><math><mi>s</mi><mo>∈</mo><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo></math></span>.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 9","pages":"Article 111078"},"PeriodicalIF":1.7,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144262935","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
The weak convergence for a measure related to a class of conformally invariant fully nonlinear operator 一类共形不变全非线性算子测度的弱收敛性
IF 1.7 2区 数学
Journal of Functional Analysis Pub Date : 2025-05-30 DOI: 10.1016/j.jfa.2025.111080
Xi-Nan Ma , Wangzhe Wu
{"title":"The weak convergence for a measure related to a class of conformally invariant fully nonlinear operator","authors":"Xi-Nan Ma ,&nbsp;Wangzhe Wu","doi":"10.1016/j.jfa.2025.111080","DOIUrl":"10.1016/j.jfa.2025.111080","url":null,"abstract":"<div><div>Trudinger-Wang introduced the notion of k-Hessian measure associated with k-convex functions, not necessarily continuous, and proved the weak continuity of the associated k-Hessian measure with respect to local <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span> convergence in 1999. In this paper we find a special divergence structure for the <span><math><msub><mrow><mi>σ</mi></mrow><mrow><mi>k</mi></mrow></msub></math></span>-Yamabe operator which is conformally invariant, and prove the weak continuity of the <span><math><msub><mrow><mi>σ</mi></mrow><mrow><mi>k</mi></mrow></msub></math></span>-Yamabe operator with respect to local <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span> convergence.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 9","pages":"Article 111080"},"PeriodicalIF":1.7,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144203215","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
An improved multiplier theorem on rank one noncompact symmetric spaces 秩1非紧对称空间上的一个改进乘子定理
IF 1.7 2区 数学
Journal of Functional Analysis Pub Date : 2025-05-30 DOI: 10.1016/j.jfa.2025.111082
Błażej Wróbel
{"title":"An improved multiplier theorem on rank one noncompact symmetric spaces","authors":"Błażej Wróbel","doi":"10.1016/j.jfa.2025.111082","DOIUrl":"10.1016/j.jfa.2025.111082","url":null,"abstract":"<div><div>We prove a multiplier theorem on rank one noncompact symmetric spaces which improves aspects of existing results. Namely, we partially drop specific assumptions on the multiplier function such as a Mikhlin-Hörmander condition. This is replaced by a requirement that parts of the multiplier function on the critical <em>p</em> strip give rise to bounded Fourier multipliers.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 9","pages":"Article 111082"},"PeriodicalIF":1.7,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144221356","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
Ancient and expanding spin ALE Ricci flows 古老而膨胀的自旋ALE Ricci流
IF 1.7 2区 数学
Journal of Functional Analysis Pub Date : 2025-05-27 DOI: 10.1016/j.jfa.2025.111062
Isaac M. Lopez, Tristan Ozuch
{"title":"Ancient and expanding spin ALE Ricci flows","authors":"Isaac M. Lopez,&nbsp;Tristan Ozuch","doi":"10.1016/j.jfa.2025.111062","DOIUrl":"10.1016/j.jfa.2025.111062","url":null,"abstract":"<div><div>We classify spin ALE ancient Ricci flows and spin ALE expanding solitons with suitable groups at infinity. In particular, the only spin ancient Ricci flows with groups at infinity in <span><math><mi>S</mi><mi>U</mi><mo>(</mo><mn>2</mn><mo>)</mo></math></span> and mild decay at infinity are hyperkähler ALE metrics. The main idea of the proof, of independent interest, consists in showing that the large-scale behavior of Perelman's <em>μ</em>-functional on any ALE orbifold with non-negative scalar curvature is controlled by a renormalized <span><math><msub><mrow><mi>λ</mi></mrow><mrow><mi>ALE</mi></mrow></msub></math></span>-functional related to a notion of weighted mass.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 9","pages":"Article 111062"},"PeriodicalIF":1.7,"publicationDate":"2025-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144242639","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
Strict comparison and stable rank one 严格比较，稳定排名第一
IF 1.7 2区 数学
Journal of Functional Analysis Pub Date : 2025-05-23 DOI: 10.1016/j.jfa.2025.111065
Huaxin Lin
{"title":"Strict comparison and stable rank one","authors":"Huaxin Lin","doi":"10.1016/j.jfa.2025.111065","DOIUrl":"10.1016/j.jfa.2025.111065","url":null,"abstract":"<div><div>Let <em>A</em> be a <em>σ</em>-unital finite simple <span><math><msup><mrow><mi>C</mi></mrow><mrow><mo>⁎</mo></mrow></msup></math></span>-algebra which has strict comparison property. We show that if the rank map Γ from the Cuntz semigroup to certain lower semicontinuous affine functions is surjective, then <em>A</em> has tracial approximate oscillation zero and stable rank one. Equivalently, if <em>A</em> is a <em>σ</em>-unital finite simple <span><math><msup><mrow><mi>C</mi></mrow><mrow><mo>⁎</mo></mrow></msup></math></span>-algebra which has an almost unperforated and almost divisible Cuntz semigroup, then <em>A</em> has stable rank one and tracial approximate oscillation zero.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 9","pages":"Article 111065"},"PeriodicalIF":1.7,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144196103","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 steady states for the Vlasov-Schrödinger-Poisson system 关于Vlasov-Schrödinger-Poisson系统的稳态
IF 1.7 2区 数学
Journal of Functional Analysis Pub Date : 2025-05-23 DOI: 10.1016/j.jfa.2025.111069
Younghun Hong , Sangdon Jin
{"title":"On steady states for the Vlasov-Schrödinger-Poisson system","authors":"Younghun Hong ,&nbsp;Sangdon Jin","doi":"10.1016/j.jfa.2025.111069","DOIUrl":"10.1016/j.jfa.2025.111069","url":null,"abstract":"<div><div>The Vlasov-Schrödinger-Poisson system is a kinetic-quantum hybrid model describing quasi-lower dimensional electron gases. For this system, we construct a large class of 2D kinetic/1D quantum steady states in a bounded domain as generalized free energy minimizers, and we show their finite subband structure, monotonicity, uniqueness and <em>conditional</em> dynamical stability. Our proof is based on the concentration-compactness principle, but some additional difficulties arise due to lack of compactness originated from the hybrid nature (see <span><span>Remark 1.9</span></span>). To overcome the difficulties, we introduce a 3-step refinement of a minimizing sequence by rearrangement and partial minimization problems, and the coercivity lemma for the free energy (<span><span>Lemma 5.3</span></span>) is crucially employed.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 8","pages":"Article 111069"},"PeriodicalIF":1.7,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144138046","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信