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Portugaliae Mathematica最新文献

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A remark on the logarithmic decay of the damped wave and Schrödinger equations on a compact Riemannian manifold 关于紧致黎曼流形上阻尼波和Schrödinger方程对数衰减的注记
IF 0.8 4区 数学
Portugaliae Mathematica Pub Date : 2023-02-09 DOI: 10.4171/pm/2107
Iván Moyano, N. Burq
{"title":"A remark on the logarithmic decay of the damped wave and Schrödinger equations on a compact Riemannian manifold","authors":"Iván Moyano, N. Burq","doi":"10.4171/pm/2107","DOIUrl":"https://doi.org/10.4171/pm/2107","url":null,"abstract":"In this paper we consider a compact Riemannian manifold (M, g) of class C 1 $cap$ W 2,$infty$ and the damped wave or Schr\"odinger equations on M , under the action of a damping function a = a(x). We establish the following fact: if the measure of the set {x $in$ M ; a(x) = 0} is strictly positive, then the decay in time of the associated energy is at least logarithmic.","PeriodicalId":51269,"journal":{"name":"Portugaliae Mathematica","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44641899","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
Existence and boundary asymptotic behavior of strictly convex solutions for singular Monge–Ampère problems with gradient terms 具有梯度项的奇异Monge–Ampère问题严格凸解的存在性和边界渐近性
IF 0.8 4区 数学
Portugaliae Mathematica Pub Date : 2023-02-03 DOI: 10.4171/pm/2097
Xuemei Zhang, Shuangshuang Bai
{"title":"Existence and boundary asymptotic behavior of strictly convex solutions for singular Monge–Ampère problems with gradient terms","authors":"Xuemei Zhang, Shuangshuang Bai","doi":"10.4171/pm/2097","DOIUrl":"https://doi.org/10.4171/pm/2097","url":null,"abstract":"","PeriodicalId":51269,"journal":{"name":"Portugaliae Mathematica","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49662302","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
Generalized fractional integral operators on variable exponent Morrey type spaces over metric measure spaces 度量测度空间上变指数Morrey型空间上的广义分数积分算子
IF 0.8 4区 数学
Portugaliae Mathematica Pub Date : 2022-12-08 DOI: 10.4171/pm/2092
T. Ohno, T. Shimomura
{"title":"Generalized fractional integral operators on variable exponent Morrey type spaces over metric measure spaces","authors":"T. Ohno, T. Shimomura","doi":"10.4171/pm/2092","DOIUrl":"https://doi.org/10.4171/pm/2092","url":null,"abstract":"","PeriodicalId":51269,"journal":{"name":"Portugaliae Mathematica","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45347641","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 note on the real support of Silva–Hasumi–Morimoto ultrahyperfunctions 关于Silva–Hasumi–Morimoto超超函数真正支持的注记
IF 0.8 4区 数学
Portugaliae Mathematica Pub Date : 2022-11-10 DOI: 10.4171/pm/2091
M. Alves, D. Franco
{"title":"A note on the real support of Silva–Hasumi–Morimoto ultrahyperfunctions","authors":"M. Alves, D. Franco","doi":"10.4171/pm/2091","DOIUrl":"https://doi.org/10.4171/pm/2091","url":null,"abstract":"","PeriodicalId":51269,"journal":{"name":"Portugaliae Mathematica","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41982921","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
The solution of a type of absolute value equations using two new matrix splitting iterative techniques 用两种新的矩阵分裂迭代方法求解一类绝对值方程
IF 0.8 4区 数学
Portugaliae Mathematica Pub Date : 2022-11-09 DOI: 10.4171/pm/2089
Rashid Ali, K. Pan
{"title":"The solution of a type of absolute value equations using two new matrix splitting iterative techniques","authors":"Rashid Ali, K. Pan","doi":"10.4171/pm/2089","DOIUrl":"https://doi.org/10.4171/pm/2089","url":null,"abstract":"","PeriodicalId":51269,"journal":{"name":"Portugaliae Mathematica","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43219421","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
Uniform regularity for the flow of a chemically reacting gaseous mixture 化学反应的气体混合物流动的均匀规律
IF 0.8 4区 数学
Portugaliae Mathematica Pub Date : 2022-10-11 DOI: 10.4171/pm/2088
Jianzhu Sun, T. Tang
{"title":"Uniform regularity for the flow of a chemically reacting gaseous mixture","authors":"Jianzhu Sun, T. Tang","doi":"10.4171/pm/2088","DOIUrl":"https://doi.org/10.4171/pm/2088","url":null,"abstract":"","PeriodicalId":51269,"journal":{"name":"Portugaliae Mathematica","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70896899","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
On the optional and orthogonal decompositions of a class of semimartingales 一类半鞅的可选分解和正交分解
IF 0.8 4区 数学
Portugaliae Mathematica Pub Date : 2022-10-07 DOI: 10.4171/pm/2083
A. Berkaoui
{"title":"On the optional and orthogonal decompositions of a class of semimartingales","authors":"A. Berkaoui","doi":"10.4171/pm/2083","DOIUrl":"https://doi.org/10.4171/pm/2083","url":null,"abstract":"","PeriodicalId":51269,"journal":{"name":"Portugaliae Mathematica","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45150550","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
Ultra-massive spacetimes Ultra-massive时空
IF 0.8 4区 数学
Portugaliae Mathematica Pub Date : 2022-09-29 DOI: 10.4171/pm/2095
J. Senovilla
{"title":"Ultra-massive spacetimes","authors":"J. Senovilla","doi":"10.4171/pm/2095","DOIUrl":"https://doi.org/10.4171/pm/2095","url":null,"abstract":"A positive cosmological constant $Lambda>0$ sets an upper limit for the area of marginally future-trapped surfaces enclosing a black hole (BH). Does this mean that the mass of the BH cannot increase beyond the corresponding limit? I analyze some simple spherically symmetric models where regions within a dynamical horizon keep gaining mass-energy so that eventually the $Lambda$ limit is surpassed. This shows that the black hole proper transmutes into a collapsing universe, and no observers will ever reach infinity, which dematerializes together with the event horizon and the `cosmological horizon'. The region containing the dynamical horizon cannot be causally influenced by the vast majority of the spacetime, its past being just a finite portion of the total, spatially infinite, spacetime. Thereby, a new type of horizon arises, but now relative to past null infinity: the boundary of the past of all marginally trapped spheres, which contains in particular one with the maximum area $4pi/Lambda$. The singularity is universal and extends mostly outside the collapsing matter. The resulting spacetimes models turn out to be inextendible and globally hyperbolic. It is remarkable that they cannot exist if $Lambda$ vanishes. Given the accepted value of $Lambda$ deduced from cosmological observations, such ultra-massive objects will need to contain a substantial portion of the total {it present} mass of the {it observable} Universe.","PeriodicalId":51269,"journal":{"name":"Portugaliae Mathematica","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46665728","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
A class of cosmological models with spatially constant sign-changing curvature 一类具有空间常数变符号曲率的宇宙学模型
IF 0.8 4区 数学
Portugaliae Mathematica Pub Date : 2022-09-20 DOI: 10.4171/pm/2099
M. S'anchez
{"title":"A class of cosmological models with spatially constant sign-changing curvature","authors":"M. S'anchez","doi":"10.4171/pm/2099","DOIUrl":"https://doi.org/10.4171/pm/2099","url":null,"abstract":"We construct globally hyperbolic spacetimes such that each slice ${t=t_0}$ of the universal time $t$ is a model space of constant curvature $k(t_0)$ which may not only vary with $t_0inmathbb{R}$ but also change its sign. The metric is smooth and slightly different to FLRW spacetimes, namely, $g=-dt^2+dr^2+ S_{k(t)}^2(r) g_{mathbb{S}^{n-1}}$, where $g_{mathbb{S}^{n-1}}$ is the metric of the standard sphere, $S_{k(t)}(r)=sin(sqrt{k(t)}, r)/sqrt{k(t)}$ when $k(t)geq 0$ and $S_{k(t)}(r)=sinh(sqrt{-k(t)}, r)/sqrt{-k(t)}$ when $k(t)leq 0$. In the open case, the $t$-slices are (non-compact) Cauchy hypersurfaces of curvature $k(t)leq 0$, thus homeomorphic to $mathbb{R}^n$; a typical example is $k(t)=-t^2$ (i.e., $S_{k(t)}(r)=sinh(tr)/t$). In the closed case, $k(t)>0$ somewhere, a slight extension of the class shows how the topology of the $t$-slices changes. This makes at least one comoving observer to disappear in finite time $t$ showing some similarities with an inflationary expansion. Anyway, the spacetime is foliated by Cauchy hypersurfaces homeomorphic to spheres, not all of them $t$-slices.","PeriodicalId":51269,"journal":{"name":"Portugaliae Mathematica","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43222470","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: 3
$L$-parabolic linear Weingarten spacelike submanifolds immersed in an Einstein manifold 沉浸在爱因斯坦流形中的L -抛物型线性Weingarten类空间子流形
IF 0.8 4区 数学
Portugaliae Mathematica Pub Date : 2022-09-12 DOI: 10.4171/pm/2082
Railane Antonia, H. D. de Lima
{"title":"$L$-parabolic linear Weingarten spacelike submanifolds immersed in an Einstein manifold","authors":"Railane Antonia, H. D. de Lima","doi":"10.4171/pm/2082","DOIUrl":"https://doi.org/10.4171/pm/2082","url":null,"abstract":"","PeriodicalId":51269,"journal":{"name":"Portugaliae Mathematica","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47157150","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
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