发布求助
文献互助 智能选刊 最新文献

Indiana University Mathematics Journal最新文献

筛选
英文 中文
On the Lagrangian Description and Uniqueness for the one-dimensional Pressureless Euler System 一维无压欧拉系统的拉格朗日描述及其唯一性
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2023-01-01 DOI: 10.33915/etd.10184
Mark D. Suder
{"title":"On the Lagrangian Description and Uniqueness for the one-dimensional Pressureless Euler System","authors":"Mark D. Suder","doi":"10.33915/etd.10184","DOIUrl":"https://doi.org/10.33915/etd.10184","url":null,"abstract":"","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69556339","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: 1
Brakke's formulation of velocity and the second order regularity property 制动器的速度表达式及二阶正则性
2区 数学
Indiana University Mathematics Journal Pub Date : 2023-01-01 DOI: 10.1512/iumj.2023.72.9558
Ryunosuke Mori, Eita Tomimatsu, Yoshihiro Tonegawa
{"title":"Brakke's formulation of velocity and the second order regularity property","authors":"Ryunosuke Mori, Eita Tomimatsu, Yoshihiro Tonegawa","doi":"10.1512/iumj.2023.72.9558","DOIUrl":"https://doi.org/10.1512/iumj.2023.72.9558","url":null,"abstract":"","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135503390","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
Dynamical aspects of foliations with ample normal bundle 具有充足正常束的叶理的动力学方面
2区 数学
Indiana University Mathematics Journal Pub Date : 2023-01-01 DOI: 10.1512/iumj.2023.72.9488
Adachi Masanori, Masanori Adachi
{"title":"Dynamical aspects of foliations with ample normal bundle","authors":"Adachi Masanori, Masanori Adachi","doi":"10.1512/iumj.2023.72.9488","DOIUrl":"https://doi.org/10.1512/iumj.2023.72.9488","url":null,"abstract":"We prove the following result that was conjectured by Brunella: Let $X$ be a compact complex manifold of dimension $geq 3$. Let $mathcal{F}$ be a codimension one holomorphic foliation on $X$ with ample normal bundle. Then every leaf of $mathcal{F}$ accumulates to the singular set of $mathcal{F}$.","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135503404","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: 2
Unique continuation inequalities for nonlinear Schroedinger equations based on uncertainty principles 基于测不准原理的非线性薛定谔方程的唯一延拓不等式
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2023-01-01 DOI: 10.1512/iumj.2023.72.9135
Ming Wang, Ze Li, Shanlin Huang
{"title":"Unique continuation inequalities for nonlinear Schroedinger equations based on uncertainty principles","authors":"Ming Wang, Ze Li, Shanlin Huang","doi":"10.1512/iumj.2023.72.9135","DOIUrl":"https://doi.org/10.1512/iumj.2023.72.9135","url":null,"abstract":"","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66765962","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: 4
Properties of the semigroup in L_1 associated with age-structured diffusive properties l1中与年龄结构扩散性质相关的半群性质
2区 数学
Indiana University Mathematics Journal Pub Date : 2023-01-01 DOI: 10.1512/iumj.2023.72.9544
Christoph Walker
{"title":"Properties of the semigroup in L_1 associated with age-structured diffusive properties","authors":"Christoph Walker","doi":"10.1512/iumj.2023.72.9544","DOIUrl":"https://doi.org/10.1512/iumj.2023.72.9544","url":null,"abstract":"","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135503134","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
Existence and regularity for vortex patch solutions of the 2D Euler equations 二维欧拉方程涡斑解的存在性和规律性
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2022-11-15 DOI: 10.1512/iumj.2022.71.9091
Razvan-Octavian Radu
{"title":"Existence and regularity for vortex patch solutions of the 2D Euler equations","authors":"Razvan-Octavian Radu","doi":"10.1512/iumj.2022.71.9091","DOIUrl":"https://doi.org/10.1512/iumj.2022.71.9091","url":null,"abstract":". In [3], Bertozzi and Constantin formulate the vortex patch problem in the level-set framework and prove a priori estimates for this active scalar equation. By extending the tools used to prove these estimates, we construct solutions and show propagation of higher H¨older regularity. This constitutes a proof of the regularity of vortex patches, carried out solely in the level-set framework.","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46814172","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: 3
Strongly symmetric homeomorphisms on the real line with uniform continuity 具有一致连续性的实线上的强对称同胚
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2022-07-21 DOI: 10.1512/iumj.2023.72.9323
Huaying Wei, Katsuhiko Matsuzaki
{"title":"Strongly symmetric homeomorphisms on the real line with uniform continuity","authors":"Huaying Wei, Katsuhiko Matsuzaki","doi":"10.1512/iumj.2023.72.9323","DOIUrl":"https://doi.org/10.1512/iumj.2023.72.9323","url":null,"abstract":"We investigate strongly symmetric homeomorphisms of the real line which appear in harmonic analysis aspects of quasiconformal Teichm\"uller theory. An element in this class can be characterized by a property that it can be extended quasiconformally to the upper half-plane so that its complex dilatation induces a vanishing Carleson measure. However, differently from the case on the unit circle, strongly symmetric homeomorphisms on the real line are not preserved under either the composition or the inversion. In this paper, we present the difference and the relation between these two cases. In particular, we show that if uniform continuity is assumed for strongly symmetric homeomorphisms of the real line, then they are preserved by those operations. We also show that the barycentric extension of uniformly continuous one induces a vanishing Carleson measure and so do the composition and the inverse of those quasiconformal homeomorphisms of the upper half-plane.","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48830997","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: 5
Formation of singularities for a family of 1D quasilinear wave equations 一类一维拟线性波动方程组奇点的形成
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2022-03-09 DOI: 10.1512/iumj.2022.71.9196
Yuusuke Sugiyama
{"title":"Formation of singularities for a family of 1D quasilinear wave equations","authors":"Yuusuke Sugiyama","doi":"10.1512/iumj.2022.71.9196","DOIUrl":"https://doi.org/10.1512/iumj.2022.71.9196","url":null,"abstract":"We consider the blow-up of solutions to the following parameterized nonlinear wave equation: utt = c(u)uxx + λc(u)c(u)(ux) with the real parameter λ. In previous works, it was reported that there exist finite time blow-up solutions with λ = 1 and 2. However, the construction of a blow-up solution depends on the symmetric structure of the equation (e.g., the energy conservation law). In the present paper, we extend the blow-up result with λ = 1 to the case with λ ∈ (0, 1] by using a new L2/λ estimate. Moreover, some properties for the blow-up solution including the Hölder continuity are also discussed.","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46302197","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
Quantum limits on product manifolds 乘积流形上的量子极限
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2022-02-09 DOI: 10.1512/iumj.2023.72.9755
E. Humbert, Y. Privat, Emmanuel Tr'elat
{"title":"Quantum limits on product manifolds","authors":"E. Humbert, Y. Privat, Emmanuel Tr'elat","doi":"10.1512/iumj.2023.72.9755","DOIUrl":"https://doi.org/10.1512/iumj.2023.72.9755","url":null,"abstract":"We establish some properties of quantum limits on a product manifold, proving for instance that, under appropriate assumptions, the quantum limits on the product of manifolds are absolutely continuous if the quantum limits on each manifolds are absolutely continuous. On a product of Riemannian manifolds satisfying the minimal multiplicity property, we prove that a periodic geodesic can never be charged by a quantum limit.","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46330198","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: 1
Full rotational symmetry from reflections or rotational symmetries in finitely many subspaces 有限多个子空间中反射或旋转对称的全旋转对称性
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2022-02-08 DOI: 10.1512/iumj.2022.71.9818
G. Bianchi, R. Gardner, P. Gronchi
{"title":"Full rotational symmetry from reflections or rotational symmetries in finitely many subspaces","authors":"G. Bianchi, R. Gardner, P. Gronchi","doi":"10.1512/iumj.2022.71.9818","DOIUrl":"https://doi.org/10.1512/iumj.2022.71.9818","url":null,"abstract":"Two related questions are discussed. The first is when reflection symmetry in a finite set of $i$-dimensional subspaces, $iin {1,dots,n-1}$, implies full rotational symmetry, i.e., the closure of the group generated by the reflections equals $O(n)$. For $i=n-1$, this has essentially been solved by Burchard, Chambers, and Dranovski, but new results are obtained for $iin {1,dots,n-2}$. The second question, to which an essentially complete answer is given, is when (full) rotational symmetry with respect to a finite set of $i$-dimensional subspaces, $iin {1,dots,n-2}$, implies full rotational symmetry, i.e., the closure of the group generated by all the rotations about each of the subspaces equals $SO(n)$. The latter result also shows that a closed set in $mathbb{R}^n$ that is invariant under rotations about more than one axis must be a union of spheres with their centers at the origin.","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42108742","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: 2
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：481959085
Book学术官方微信