发布求助
文献互助 智能选刊 最新文献

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg最新文献

筛选
英文 中文
Existence and uniqueness of renormalized solutions for initial boundary value parabolic problems with possibly very singular right-hand side 可能有非常奇异的初始边值抛物型问题重整解的存在唯一性
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2022-12-13 DOI: 10.1007/s12188-022-00262-6
M. Abdellaoui, H. Redwane
{"title":"Existence and uniqueness of renormalized solutions for initial boundary value parabolic problems with possibly very singular right-hand side","authors":"M. Abdellaoui,&nbsp;H. Redwane","doi":"10.1007/s12188-022-00262-6","DOIUrl":"10.1007/s12188-022-00262-6","url":null,"abstract":"<div><p>We study the existence and uniqueness of <i>renormalized</i> solutions for initial boundary value problems of the type </p><div><div><span>$$begin{aligned} left( {mathcal {P}}_{b}^{1}right) quad left{ begin{aligned} u_{t}-text {div}(a(t,x,nabla u))=H(u)mu text { in }Q:=(0,T)times Omega , u(0,x)=u_{0}(x)text { in }Omega , u(t,x)=0text { on }(0,T)times partial Omega , end{aligned}right. end{aligned}$$</span></div></div><p>where <span>(u_{0}in L^{1}(Omega ))</span>, <span>(mu in {mathcal {M}}_{b}(Q))</span> is a general <i>Radon</i> measure on <i>Q</i> and <span>(Hin C_{b}^{0}({mathbb {R}}))</span> is a continuous positive bounded function on <span>({mathbb {R}})</span>. The difficulties in the study of such problems concern the possibly very singular right-hand side that forces the choice of a suitable formulation that ensures both existence and uniqueness of solution. Using similar techniques, we will prove existence/nonexistence results of the auxiliary problem </p><div><div><span>$$begin{aligned} left( {mathcal {P}}_{b}^{2}right) quad left{ begin{aligned}&amp;u_{t}-text {div}(a(t,x,nabla u))+g(x,u)|nabla u|^{2}=mu text { in }Q:=(0,T)times Omega ,&amp;u(0,x)=u_{0}(x)text { in }Omega , u(t,x)=0text { on }(0,T)times partial Omega , end{aligned}right. end{aligned}$$</span></div></div><p>under the assumption that <i>g</i> satisfies a sign condition and the nonlinear term depends on both <i>x</i>, <i>u</i> and its gradient. Thus, our results improve and complete the previous known existence results for problems <span>(left( {mathcal {P}}_{b}^{1,2}right) )</span>.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50023054","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
A tree-of-tangles theorem for infinite tangles 关于无穷多个纠缠的一个纠缠树定理
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2022-11-29 DOI: 10.1007/s12188-022-00259-1
Ann-Kathrin Elm, Jan Kurkofka
{"title":"A tree-of-tangles theorem for infinite tangles","authors":"Ann-Kathrin Elm,&nbsp;Jan Kurkofka","doi":"10.1007/s12188-022-00259-1","DOIUrl":"10.1007/s12188-022-00259-1","url":null,"abstract":"<div><p>Carmesin has extended Robertson and Seymour’s tree-of-tangles theorem to the infinite tangles of locally finite infinite graphs. We extend it further to the infinite tangles of all infinite graphs. Our result has a number of applications for the topology of infinite graphs, such as their end spaces and their compactifications.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12188-022-00259-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50104037","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 7
(G_2)-structures on flat solvmanifolds (G_2)平面溶剂流形上的结构
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2022-11-11 DOI: 10.1007/s12188-022-00261-7
Alejandro Tolcachier
{"title":"(G_2)-structures on flat solvmanifolds","authors":"Alejandro Tolcachier","doi":"10.1007/s12188-022-00261-7","DOIUrl":"10.1007/s12188-022-00261-7","url":null,"abstract":"<div><p>In this article we study the relation between flat solvmanifolds and <span>(G_2)</span>-geometry. First, we give a classification of 7-dimensional flat splittable solvmanifolds using the classification of finite subgroups of <span>(mathsf{GL}(n,mathbb {Z}))</span> for <span>(n=5)</span> and <span>(n=6)</span>. Then, we look for closed, coclosed and divergence-free <span>(G_2)</span>-structures compatible with the flat metric on them. In particular, we provide explicit examples of compact flat manifolds with a torsion-free <span>(G_2)</span>-structure whose finite holonomy is cyclic and contained in <span>(G_2)</span>, and examples of compact flat manifolds admitting a divergence-free <span>(G_2)</span>-structure.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50020079","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Local positivity and effective Diophantine approximation 局部正性和有效丢番图近似
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2022-11-08 DOI: 10.1007/s12188-022-00260-8
Matthias Nickel
{"title":"Local positivity and effective Diophantine approximation","authors":"Matthias Nickel","doi":"10.1007/s12188-022-00260-8","DOIUrl":"10.1007/s12188-022-00260-8","url":null,"abstract":"<div><p>In this paper we present a new approach to prove effective results in Diophantine approximation. This approach involves measures of local positivity of divisors combined with Faltings’s version of Siegel’s lemma instead of a zero estimate such as Dyson’s lemma. We then use it to prove an effective theorem on the simultaneous approximation of two algebraic numbers satisfying an algebraic equation with complex coefficients.\u0000</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12188-022-00260-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50015028","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 linear stability and syzygy stability 关于线性稳定性和系统稳定性
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2022-05-30 DOI: 10.1007/s12188-022-00258-2
Abel Castorena, Ernesto C. Mistretta, Hugo Torres-López
{"title":"On linear stability and syzygy stability","authors":"Abel Castorena,&nbsp;Ernesto C. Mistretta,&nbsp;Hugo Torres-López","doi":"10.1007/s12188-022-00258-2","DOIUrl":"10.1007/s12188-022-00258-2","url":null,"abstract":"<div><p>In previous works, the authors investigated the relationships between linear stability of a generated linear series |<i>V</i>| on a curve <i>C</i>, and slope stability of the syzygy vector bundle <span>(M_{V,L} := ker (V otimes mathcal {O}_C rightarrow L))</span>. In particular, the second named author and L. Stoppino conjecture that, for a complete linear system |<i>L</i>|, linear (semi)stability is equivalent to slope (semi)stability of <span>(M_{L})</span>. The first and third named authors proved that this conjecture holds in the two opposite cases: hyperelliptic and generic curves. In this work we provide a counterexample to this conjecture on any smooth plane curve of degree 7.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12188-022-00258-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50104289","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Triangular lat-igusa-todorov algebras 三角lat-igusa-todorov代数
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2022-05-24 DOI: 10.1007/s12188-022-00257-3
José Armando Vivero
{"title":"Triangular lat-igusa-todorov algebras","authors":"José Armando Vivero","doi":"10.1007/s12188-022-00257-3","DOIUrl":"10.1007/s12188-022-00257-3","url":null,"abstract":"<div><p>In 2021 the authors D. Bravo, M. Lanzilotta, O. Mendoza and J. Vivero gave a generalization of the concept of Igusa-Todorov algebra and proved that those algebras, named Lat-Igusa-Todorov (LIT for short), satisfy the finitistic dimension conjecture. In this paper we explore the scope of that generalization and give conditions for a triangular matrix algebra to be LIT in terms of the algebras and the bimodule used in its definition. As an application we obtain that the tensor product of an LIT <span>(mathbb {K})</span>-algebra with a path algebra of a quiver whose underlying graph is a tree, is LIT.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50102451","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Derivatives of Eisenstein series of weight 2 and intersections of modular correspondences 权值2的爱森斯坦级数的导数和模对应的交点
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2022-04-27 DOI: 10.1007/s12188-022-00256-4
Sungmun Cho, Shunsuke Yamana, Takuya Yamauchi
{"title":"Derivatives of Eisenstein series of weight 2 and intersections of modular correspondences","authors":"Sungmun Cho,&nbsp;Shunsuke Yamana,&nbsp;Takuya Yamauchi","doi":"10.1007/s12188-022-00256-4","DOIUrl":"10.1007/s12188-022-00256-4","url":null,"abstract":"<div><p>We give a formula for certain values and derivatives of Siegel series and use them to compute Fourier coefficients of derivatives of the Siegel Eisenstein series of weight <span>(frac{g}{2})</span> and genus <i>g</i>. When <span>(g=4)</span>, the Fourier coefficient is approximated by a certain Fourier coefficient of the central derivative of the Siegel Eisenstein series of weight 2 and genus 3, which is related to the intersection of 3 arithmetic modular correspondences. Applications include a relation between weighted averages of representation numbers of symmetric matrices.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12188-022-00256-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50049460","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 1
Fourier coefficients of the Siegel Eisenstein series of degree 2 with odd prime level, corresponding to the middle cusp 具有奇数素数阶的2次西格尔-爱森斯坦级数的傅里叶系数，对应于中间尖
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2022-01-18 DOI: 10.1007/s12188-021-00255-x
Keiichi Gunji
{"title":"Fourier coefficients of the Siegel Eisenstein series of degree 2 with odd prime level, corresponding to the middle cusp","authors":"Keiichi Gunji","doi":"10.1007/s12188-021-00255-x","DOIUrl":"10.1007/s12188-021-00255-x","url":null,"abstract":"<div><p>Let <i>p</i> be an odd prime. In this paper we compute the Fourier coefficients of the Siegel Eisenstein series of degree 2, level <i>p</i> with the trivial or the quadratic character, associated to a certain cusp. For that we need to define the <i>p</i>-factor of the special type of Siegel series with character.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50036105","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Isotropicity of surfaces in Lorentzian 4-manifolds with zero mean curvature vector 平均曲率矢量为零的洛伦兹4流形中曲面的各向同性
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2022-01-03 DOI: 10.1007/s12188-021-00254-y
Naoya Ando
{"title":"Isotropicity of surfaces in Lorentzian 4-manifolds with zero mean curvature vector","authors":"Naoya Ando","doi":"10.1007/s12188-021-00254-y","DOIUrl":"10.1007/s12188-021-00254-y","url":null,"abstract":"<div><p>We already have the concept of isotropicity of a minimal surface in a Riemannian 4-manifold and a space-like or time-like surface in a neutral 4-manifold with zero mean curvature vector. In this paper, based on the understanding of it, we define and study isotropicity of a space-like or time-like surface in a Lorentzian 4-manifold <i>N</i> with zero mean curvature vector. If the surface is space-like, then the isotropicity means either the surface has light-like or zero second fundamental form or it is an analogue of complex curves in Kähler surfaces. In addition, if <i>N</i> is a space form, then the isotropicity means that the surface has both the properties. If the surface is time-like and if <i>N</i> is a space form, then the isotropicity means that the surface is totally geodesic.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12188-021-00254-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50010269","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 3
Set recognition of decomposable graphs and steps towards their reconstruction 设置可分解图的识别和重建步骤
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2022-01-03 DOI: 10.1007/s12188-021-00252-0
Bernd S. W. Schröder
{"title":"Set recognition of decomposable graphs and steps towards their reconstruction","authors":"Bernd S. W. Schröder","doi":"10.1007/s12188-021-00252-0","DOIUrl":"10.1007/s12188-021-00252-0","url":null,"abstract":"<div><p>It is proved that decomposable graphs are set recognizable and that the index graph of the canonical decomposition as well as the graphs induced on the maximal autonomous sets of vertices are set reconstructible. From these results, we obtain set reconstructibility for many decomposable graphs as well as a concise description of the decomposable graphs for which set reconstruction remains an open problem.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50006241","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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