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Bollettino dell'Unione Matematica Italiana最新文献

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On the Hilbert scheme of smooth curves of degree 15 and genus 14 in $$mathbb {P}^5$$ in . 15次和14属光滑曲线的Hilbert格式 $$mathbb {P}^5$$
Bollettino dell'Unione Matematica Italiana Pub Date : 2023-10-30 DOI: 10.1007/s40574-023-00396-2
Edoardo Ballico, Changho Keem
{"title":"On the Hilbert scheme of smooth curves of degree 15 and genus 14 in $$mathbb {P}^5$$","authors":"Edoardo Ballico, Changho Keem","doi":"10.1007/s40574-023-00396-2","DOIUrl":"https://doi.org/10.1007/s40574-023-00396-2","url":null,"abstract":"","PeriodicalId":214688,"journal":{"name":"Bollettino dell'Unione Matematica Italiana","volume":"3 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136103321","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Anisotropic degenerate elliptic problem with singular gradient lower order term 具有奇异梯度低阶项的各向异性退化椭圆问题
Bollettino dell'Unione Matematica Italiana Pub Date : 2023-10-21 DOI: 10.1007/s40574-023-00395-3
Hichem Khelifi
{"title":"Anisotropic degenerate elliptic problem with singular gradient lower order term","authors":"Hichem Khelifi","doi":"10.1007/s40574-023-00395-3","DOIUrl":"https://doi.org/10.1007/s40574-023-00395-3","url":null,"abstract":"","PeriodicalId":214688,"journal":{"name":"Bollettino dell'Unione Matematica Italiana","volume":"113 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135512092","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A subgradient method with constant step-size for $$ell _1$$-composite optimization 一种恒步长次梯度方法用于$$ell _1$$ -复合优化
Bollettino dell'Unione Matematica Italiana Pub Date : 2023-10-10 DOI: 10.1007/s40574-023-00389-1
A. Scagliotti, P. Colli Franzone
{"title":"A subgradient method with constant step-size for $$ell _1$$-composite optimization","authors":"A. Scagliotti, P. Colli Franzone","doi":"10.1007/s40574-023-00389-1","DOIUrl":"https://doi.org/10.1007/s40574-023-00389-1","url":null,"abstract":"Abstract Subgradient methods are the natural extension to the non-smooth case of the classical gradient descent for regular convex optimization problems. However, in general, they are characterized by slow convergence rates, and they require decreasing step-sizes to converge. In this paper we propose a subgradient method with constant step-size for composite convex objectives with $$ell _1$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msub> <mml:mi>ℓ</mml:mi> <mml:mn>1</mml:mn> </mml:msub> </mml:math> -regularization. If the smooth term is strongly convex, we can establish a linear convergence result for the function values. This fact relies on an accurate choice of the element of the subdifferential used for the update, and on proper actions adopted when non-differentiability regions are crossed. Then, we propose an accelerated version of the algorithm, based on conservative inertial dynamics and on an adaptive restart strategy, that is guaranteed to achieve a linear convergence rate in the strongly convex case. Finally, we test the performances of our algorithms on some strongly and non-strongly convex examples.","PeriodicalId":214688,"journal":{"name":"Bollettino dell'Unione Matematica Italiana","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136294830","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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 convergence of sequences of weighted composition operators on certain weighted Hardy spaces 加权Hardy空间上加权复合算子序列的收敛性
Bollettino dell'Unione Matematica Italiana Pub Date : 2023-10-10 DOI: 10.1007/s40574-023-00388-2
Bahram Khani-Robati, Samira Mehrangiz
{"title":"On the convergence of sequences of weighted composition operators on certain weighted Hardy spaces","authors":"Bahram Khani-Robati, Samira Mehrangiz","doi":"10.1007/s40574-023-00388-2","DOIUrl":"https://doi.org/10.1007/s40574-023-00388-2","url":null,"abstract":"","PeriodicalId":214688,"journal":{"name":"Bollettino dell'Unione Matematica Italiana","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136295767","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An algorithmic approach to solving split common fixed point problems for families of demicontractive operators in Hilbert spaces 求解Hilbert空间中半收缩算子族的分裂共不动点问题的一种算法
Bollettino dell'Unione Matematica Italiana Pub Date : 2023-10-05 DOI: 10.1007/s40574-023-00391-7
H. A. Abass, M. Aphane
{"title":"An algorithmic approach to solving split common fixed point problems for families of demicontractive operators in Hilbert spaces","authors":"H. A. Abass, M. Aphane","doi":"10.1007/s40574-023-00391-7","DOIUrl":"https://doi.org/10.1007/s40574-023-00391-7","url":null,"abstract":"Abstract In this article, we propose a new iterative algorithm for solving split common fixed point problems for finite families of single-valued demicontractive mappings in the setting of real Hilbert spaces. In order to solve this problem, we introduce a Halpern method with with an Armijo-line search for approximating the solution of the aforementioned problems. We establish a strong convergence result of the proposed method and display some numerical examples to illustrate the performance of our main result. Our result complements and generalizes some related results in literature.","PeriodicalId":214688,"journal":{"name":"Bollettino dell'Unione Matematica Italiana","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134974892","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Effects of surface tension and elasticity on critical points of the Kirchhoff–Plateau problem 表面张力和弹性对Kirchhoff-Plateau问题临界点的影响
Bollettino dell'Unione Matematica Italiana Pub Date : 2023-10-04 DOI: 10.1007/s40574-023-00392-6
Giulia Bevilacqua, Chiara Lonati
{"title":"Effects of surface tension and elasticity on critical points of the Kirchhoff–Plateau problem","authors":"Giulia Bevilacqua, Chiara Lonati","doi":"10.1007/s40574-023-00392-6","DOIUrl":"https://doi.org/10.1007/s40574-023-00392-6","url":null,"abstract":"Abstract We introduce a modified Kirchhoff–Plateau problem adding an energy term to penalize shape modifications of the cross-sections appended to the elastic midline. In a specific setting, we characterize quantitatively some properties of minimizers. Indeed, choosing three different geometrical shapes for the cross-section, we derive Euler–Lagrange equations for a planar version of the Kirchhoff–Plateau problem. We show that in the physical range of the parameters, there exists a unique critical point satisfying the imposed constraints. Finally, we analyze the effects of the surface tension on the shape of the cross-sections at the equilibrium.","PeriodicalId":214688,"journal":{"name":"Bollettino dell'Unione Matematica Italiana","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135592152","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Alt–Caffarelli–Friedman monotonicity formula and mean value properties in Carnot groups with applications 卡诺群的albert - caffarelli - friedman单调性公式及均值性质及其应用
Bollettino dell'Unione Matematica Italiana Pub Date : 2023-10-03 DOI: 10.1007/s40574-023-00393-5
Fausto Ferrari, Nicolò Forcillo
{"title":"Alt–Caffarelli–Friedman monotonicity formula and mean value properties in Carnot groups with applications","authors":"Fausto Ferrari, Nicolò Forcillo","doi":"10.1007/s40574-023-00393-5","DOIUrl":"https://doi.org/10.1007/s40574-023-00393-5","url":null,"abstract":"In this paper we provide a different approach to the Alt-Caffarelli-Friedman monotonicity formula, reducing the problem to test the monotone increasing behavior of the mean value of a function involving the norm of the gradient. In particular, we show that our argument holds in the general framework of Carnot groups.","PeriodicalId":214688,"journal":{"name":"Bollettino dell'Unione Matematica Italiana","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135738735","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Natural transform of two variables in q-calculus with applications q-微积分中两个变量的自然变换及其应用
Bollettino dell'Unione Matematica Italiana Pub Date : 2023-09-24 DOI: 10.1007/s40574-023-00386-4
Javid Ahmad Ganie, Altaf Ahmad Bhat, Shahid Ahmed Wani
{"title":"Natural transform of two variables in q-calculus with applications","authors":"Javid Ahmad Ganie, Altaf Ahmad Bhat, Shahid Ahmed Wani","doi":"10.1007/s40574-023-00386-4","DOIUrl":"https://doi.org/10.1007/s40574-023-00386-4","url":null,"abstract":"","PeriodicalId":214688,"journal":{"name":"Bollettino dell'Unione Matematica Italiana","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135926140","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Boundary effects on wave trains in the Exner model of sedimental transport Exner沉积输运模式中波浪列的边界效应
Bollettino dell'Unione Matematica Italiana Pub Date : 2023-09-18 DOI: 10.1007/s40574-023-00387-3
E. Macca, G. Russo
{"title":"Boundary effects on wave trains in the Exner model of sedimental transport","authors":"E. Macca, G. Russo","doi":"10.1007/s40574-023-00387-3","DOIUrl":"https://doi.org/10.1007/s40574-023-00387-3","url":null,"abstract":"Abstract In this work we compute the numerical solution of the Exner model of sedimentation when a train of waves is imposed at the inflow boundary (E. Macca in Shock-Capturing methods: Well-Balanced Approximate Taylor and Semi-Implicit schemes. PhD thesis, Universit‘a degli Studi di Palermo, Palermo, (2022) and Major Revision, (2023)). The numerical solver is a second order finite-volume scheme, with semi-implicit time discretization based on Implicit-Explicit (IMEX) schemes, which guarantees better stability properties than explicit ones, still at a lower cost than fully implicit schemes. We show the effect of spurious reflected waves generated at the outflow edge of the computational domain, propose two remedies, and show how such spurious effects can be reduced by suitable non-reflecting boundary conditions.","PeriodicalId":214688,"journal":{"name":"Bollettino dell'Unione Matematica Italiana","volume":"80 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135202363","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Scattering diagrams in mirror symmetry 镜面对称的散射图
Bollettino dell'Unione Matematica Italiana Pub Date : 2023-09-17 DOI: 10.1007/s40574-023-00385-5
Veronica Fantini
{"title":"Scattering diagrams in mirror symmetry","authors":"Veronica Fantini","doi":"10.1007/s40574-023-00385-5","DOIUrl":"https://doi.org/10.1007/s40574-023-00385-5","url":null,"abstract":"","PeriodicalId":214688,"journal":{"name":"Bollettino dell'Unione Matematica Italiana","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135258635","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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