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Bruno Pini Mathematical Analysis Seminar最新文献

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Existence result for the CR-Yamabe equation CR-Yamabe方程的存在性结果
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2013-12-23 DOI: 10.6092/ISSN.2240-2829/4017
Vittorio Martino
{"title":"Existence result for the CR-Yamabe equation","authors":"Vittorio Martino","doi":"10.6092/ISSN.2240-2829/4017","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/4017","url":null,"abstract":"In this note we will prove that the CR-Yamabe equation has infinitely many changing-sign solutions. The problem is variational but the associated functional does not satisfy the Palais-Smale compactness condition; by mean of a suitable group action we will define a subspace on which we can apply the minimax argument of Ambrosetti-Rabinowitz. The result solves a question left open from the classification results of positive solutions by Jerison-Lee in the '80s.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"4 1","pages":"38-46"},"PeriodicalIF":0.2,"publicationDate":"2013-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71262696","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
Lipschitz estimates for convex functions with respect to vector fields 关于向量场的凸函数的Lipschitz估计
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2012-12-30 DOI: 10.6092/ISSN.2240-2829/3420
Valentino Magnani
{"title":"Lipschitz estimates for convex functions with respect to vector fields","authors":"Valentino Magnani","doi":"10.6092/ISSN.2240-2829/3420","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/3420","url":null,"abstract":"We present Lipschitz continuity estimates for a class of convex functionswith respect to Hormander vector fields. These results have been recently obtained in collaboration with M. Scienza, [22].","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"3 1","pages":"60-71"},"PeriodicalIF":0.2,"publicationDate":"2012-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71262935","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
Minimal connections: the classical Steiner problem and generalizations 最小连接:经典斯坦纳问题及其推广
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2012-12-30 DOI: 10.6092/ISSN.2240-2829/3421
E. Paolini
{"title":"Minimal connections: the classical Steiner problem and generalizations","authors":"E. Paolini","doi":"10.6092/ISSN.2240-2829/3421","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/3421","url":null,"abstract":"The classical Steiner problem is the problem of nding the shortest graph connecting a given finite set of points. In this seminar we review the classical problem and introduce a new, generalized formulation, which extends the original one to infinite sets in metric spaces.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"3 1","pages":"72-87"},"PeriodicalIF":0.2,"publicationDate":"2012-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71262983","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: 3
Partial reconstruction of the source term in a linear parabolic problem 线性抛物型问题源项的部分重构
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2012-12-30 DOI: 10.6092/ISSN.2240-2829/3419
D. Guidetti
{"title":"Partial reconstruction of the source term in a linear parabolic problem","authors":"D. Guidetti","doi":"10.6092/ISSN.2240-2829/3419","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/3419","url":null,"abstract":"We consider, in some different situations, the problem of the reconstruction of the source term in a parabolic problem in a space-time domain [0, T] × I × Ω: this source term is assumed of the form g(t,x) f(t,x,y) (t ∈ [0, T], x ∈ I, y ∈ Ω), with f given and g to be determined. The novelty, with respect to the existing literature, lies in the fact that g depends on time and on some of the space variables. The supplementary information, allowing to determine g together with the solution of the problem u, is given by the knowledge, for every (t,x), of an integral of the form ∫{Ω} u(t,x,y) dμ(y), with μ complex Borel measure.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"26 1","pages":"48-59"},"PeriodicalIF":0.2,"publicationDate":"2012-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71262924","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
Harnack inequalities for hypoelliptic evolution operators: geometric issues and applications 半椭圆演化算子的harack不等式:几何问题及应用
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2012-12-30 DOI: 10.6092/issn.2240-2829/3415
S. Polidoro
{"title":"Harnack inequalities for hypoelliptic evolution operators: geometric issues and applications","authors":"S. Polidoro","doi":"10.6092/issn.2240-2829/3415","DOIUrl":"https://doi.org/10.6092/issn.2240-2829/3415","url":null,"abstract":"Consideriamo Equazioni alle Derivate Parziali lineari del secondo ordine in forma di \"somma di quadrati di campi vettoriali di Hormander piu un termine di drift\" in un dominio assegnato. Dimostriamo che una disuguaglianza di Harnack vale in ogni sottoinsieme compatto dell'insieme raggiungibile denito in termini dei compi vettoiali che definiscono l'Equazione alle Derivate Parziali considerata. Applichiamo quindi le disuguaglianze di Harnack per dimostrare stime asintotiche dal basso per la densita congiunta di un'ampia classe di processi stocastici. Analoghe stime dall'alto sono dimostrate per mezzo del Calcolo di Malliavin.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"3 1","pages":"1-13"},"PeriodicalIF":0.2,"publicationDate":"2012-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71262804","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
Double ball property: an overview and the case of step two Carnot groups 双球性质:第二步卡诺群的概述和情况
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2012-12-30 DOI: 10.6092/ISSN.2240-2829/3417
G. Tralli
{"title":"Double ball property: an overview and the case of step two Carnot groups","authors":"G. Tralli","doi":"10.6092/ISSN.2240-2829/3417","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/3417","url":null,"abstract":"We investigate the notion of the so-called Double Ball Property, which concerns the nonnegative sub-solutions of some differential operators. Thanks to the axiomatic approach developed in [6], this is an important tool in order to solve the Krylov-Safonov's Harnack inequality problem for this kind of operators. In particular, we are interested in linear second order horizontally-elliptic operators in non-divergence formand with measurable coefficients. In the setting of homogeneous Carnot groups, we would like to stress the relation between the Double Ball Property and a kind of solvability of the Dirichlet problem for the operator in the exterior of some homogeneous balls. We present a recent result obtained in [15], where the double ball property has been proved in a generic Carnot group of step two.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"3 1","pages":"33-47"},"PeriodicalIF":0.2,"publicationDate":"2012-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71263012","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
Regularity issues for local minimizers of the Mumford & Shah energy in 2D 二维Mumford & Shah能量局部极小值的正则性问题
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2012-12-30 DOI: 10.6092/ISSN.2240-2829/3416
M. Focardi
{"title":"Regularity issues for local minimizers of the Mumford & Shah energy in 2D","authors":"M. Focardi","doi":"10.6092/ISSN.2240-2829/3416","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/3416","url":null,"abstract":"We review some issues about the regularity theory of local minimizers of the Mumford & Shah energy in the 2-dimensional case. In particular, we stress upon some recent results obtained in collaboration with Camillo De Lellis (Universitat Zurich). On one hand, we deal with basic regularity, more precisely we survey on an elementary proof of the equivalence between the weak and strong formulation of the problem established in [16]. On the other hand, we discuss ne regularity properties by outlining an higher integrability result for the density of the volume part proved in [17]. The latter, in turn, implies an estimate on the Hausdor dimension of the singular set of minimizers according to the results in [2] (see also [18]).","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"3 1","pages":"14-32"},"PeriodicalIF":0.2,"publicationDate":"2012-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71262849","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
Perturbative methods for inverse problems on degenerate differential equations 退化微分方程反问题的微扰方法
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2012-12-30 DOI: 10.6092/ISSN.2240-2829/3422
A. Favini
{"title":"Perturbative methods for inverse problems on degenerate differential equations","authors":"A. Favini","doi":"10.6092/ISSN.2240-2829/3422","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/3422","url":null,"abstract":"Pertubation results for linear relations satisfying a resolvent condition of weak parabolic type are established. Such results are applied to solve some inverse problems for degenerate differential equations, supplying a new method which avoids any fixed-point argument and essentially consists in reducing the original inverse problem to an auxiliary direct one.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"3 1","pages":"88-103"},"PeriodicalIF":0.2,"publicationDate":"2012-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71262589","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: 6
Potenze frazionarie e teoria della interpolazione per operatori lineari multivoci ed applicazioni 多价线性操作符和应用的分馏功率和插值理论
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2011-12-31 DOI: 10.6092/ISSN.2240-2829/2667
A. Favini
{"title":"Potenze frazionarie e teoria della interpolazione per operatori lineari multivoci ed applicazioni","authors":"A. Favini","doi":"10.6092/ISSN.2240-2829/2667","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/2667","url":null,"abstract":"We provide intermediate properties for the domains of the fractional powers of an abstract multivalued linear operator A of weak parabolic type. In particular, the results exhibit the special role played by the linear subspace A0. The behaviour of the singular semigroup generated by A with respect to the domains of the fractional powers is then studied. Such results are applied to maximal time and space regularity for solutions to abstract multivalued evolution equations. Some concrete cases of partial differential equations enlighten the abstract results.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"2 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2011-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71262208","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
Disuguaglianze di Harnack alla frontiera per equazioni di Kolmogorov 边界上的哈纳克不平等
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2011-12-31 DOI: 10.6092/ISSN.2240-2829/2672
S. Polidoro
{"title":"Disuguaglianze di Harnack alla frontiera per equazioni di Kolmogorov","authors":"S. Polidoro","doi":"10.6092/ISSN.2240-2829/2672","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/2672","url":null,"abstract":"We describe some recent results on the boundary regularity for hypoelliptic Kolmogorov equations. We prove boundary Harnack inequalities of the positive solutions to Kolmogorov equations vanishing on some relatively open subset of the boundary. Sufficient conditions for the boundary Harnack inequality are given in terms of cone conditions, that are satisfied by a wide class of Lipschitz domains. We also prove Carleson type estimates, that are scale-invariant and generalize previous results valid for second order uniformly parabolic equations.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"2 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2011-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71262542","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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