Mathematische Annalen最新文献_第8页

Bias in the distribution of holonomy on compact hyperbolic 3-manifolds 紧凑双曲3-manifolds上整体性分布的偏差

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-06-06 DOI: 10.1007/s00208-024-02903-y

Lindsay Dever

引用次数: 0

Fractional Sobolev spaces on Riemannian manifolds 黎曼流形上的分数索波列夫空间

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-06-03 DOI: 10.1007/s00208-024-02894-w

Michele Caselli, Enric Florit-Simon, Joaquim Serra

{"title":"Fractional Sobolev spaces on Riemannian manifolds","authors":"Michele Caselli, Enric Florit-Simon, Joaquim Serra","doi":"10.1007/s00208-024-02894-w","DOIUrl":"https://doi.org/10.1007/s00208-024-02894-w","url":null,"abstract":"This article studies the canonical Hilbert energy (H^{s/2}(M)) on a Riemannian manifold for (sin (0,2)), with particular focus on the case of closed manifolds. Several equivalent definitions for this energy and the fractional Laplacian on a manifold are given, and they are shown to be identical up to explicit multiplicative constants. Moreover, the precise behavior of the kernel associated with the singular integral definition of the fractional Laplacian is obtained through an in-depth study of the heat kernel on a Riemannian manifold. Furthermore, a monotonicity formula for stationary points of functionals of the type ({mathcal {E}}(v)=[v]^2_{H^{s/2}(M)}+int _M F(v) , dV), with (Fge 0), is given, which includes in particular the case of nonlocal s-minimal surfaces. Finally, we prove some estimates for the Caffarelli–Silvestre extension problem, which are of general interest. This work is motivated by Caselli et al. (Yau’s conjecture for nonlocal minimal surfaces, arxiv preprint, 2023), which defines nonlocal minimal surfaces on closed Riemannian manifolds and shows the existence of infinitely many of them for any metric on the manifold, ultimately proving the nonlocal version of a conjecture of Yau (Ann Math Stud 102:669–706, 1982). Indeed, the definitions and results in the present work serve as an essential technical toolbox for the results in Caselli et al. (Yau’s conjecture for nonlocal minimal surfaces, arxiv preprint, 2023).","PeriodicalId":18304,"journal":{"name":"Mathematische Annalen","volume":"35 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141259069","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

Generalized Schauder theory and its application to degenerate/singular parabolic equations 广义绍德理论及其在退化/星状抛物方程中的应用

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-06-03 DOI: 10.1007/s00208-024-02898-6

Takwon Kim, Ki-Ahm Lee, Hyungsung Yun

引用次数: 0

Exponential decay for the quintic wave equation with locally distributed damping 具有局部分布阻尼的五次波方程的指数衰减

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-06-03 DOI: 10.1007/s00208-024-02904-x

Marcelo M. Cavalcanti, Valéria N. Domingos Cavalcanti, André Vicente

引用次数: 0

Homology concordance and knot Floer homology 同构协和与结浮子同构

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-06-02 DOI: 10.1007/s00208-024-02906-9

Irving Dai, Jennifer Hom, Matthew Stoffregen, Linh Truong

引用次数: 0

A sharp Hörmander estimate for multi-parameter and multi-linear Fourier multiplier operators 多参数和多线性傅立叶乘法算子的尖锐霍曼德估计值

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-06-01 DOI: 10.1007/s00208-024-02893-x

Jiao Chen, Danqing He, Guozhen Lu, Bae Jun Park, Lu Zhang

引用次数: 0

Trends in Maxillomandibular Fixation Technique at a Single Academic Institution. 一家学术机构的上下颌骨固定技术趋势。

IF 0.9 2区数学

Mathematische Annalen Pub Date : 2024-06-01 Epub Date: 2023-05-13 DOI: 10.1177/19433875231176339

Heather Schopper, Natalie A Krane, Kevin J Sykes, Katherine Yu, J David Kriet, Clinton D Humphrey

{"title":"Trends in Maxillomandibular Fixation Technique at a Single Academic Institution.","authors":"Heather Schopper, Natalie A Krane, Kevin J Sykes, Katherine Yu, J David Kriet, Clinton D Humphrey","doi":"10.1177/19433875231176339","DOIUrl":"10.1177/19433875231176339","url":null,"abstract":"Study design: Retrospective chart review.Objective: Restoration of premorbid occlusion is a key goal in the treatment of mandibular fractures. Placement of the patient in maxillomandibular fixation (MMF) is performed during mandibular fracture repair to help establish occlusion. A number of techniques are available to achieve MMF. We sought to examine trends in MMF technique at our institution.Methods: A retrospective chart review was conducted to evaluate patients who underwent surgical treatment of mandibular fractures between January 1, 2011 and March 31, 2021. Data including fracture characteristics, mechanism of injury, patient demographics, complication rates, and MMF technique utilized were collected.Results: One hundred sixty-three patients underwent MMF (132 males). The most common etiology of fracture was assault (34%). There was an increasing preference for rapid MMF techniques over time, as opposed to standard Erich arch bars. No significant difference in obtaining adequate fracture reduction as determined by postoperative imaging or complications were noted between those who underwent MMF with newer rapid techniques vs traditional MMF techniques.Conclusions: Our institution has demonstrated changing trends in the technique utilized for establishing occlusion intraoperatively, more recently favoring rapid MMF techniques, with similar rates of complications and ability to adequately reduce fractures.","PeriodicalId":18304,"journal":{"name":"Mathematische Annalen","volume":"381 1","pages":"119-123"},"PeriodicalIF":0.9,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11107819/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90684266","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

Higher order boundary Schauder estimates in Carnot groups 卡诺群中的高阶边界肖德尔估计

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-06-01 DOI: 10.1007/s00208-024-02901-0

Agnid Banerjee, Nicola Garofalo, Isidro H. Munive

引用次数: 0

A non-compact convex hull in generalized non-positive curvature 广义非正曲率的非紧凑凸壳

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-05-31 DOI: 10.1007/s00208-024-02905-w

Giuliano Basso, Yannick Krifka, Elefterios Soultanis

引用次数: 0

Geography of surface bundles over surfaces 曲面上的曲面束地理