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Some Remarks on Harmonic Projection Operators on Spheres 关于球面上调和投影算子的几点注记
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2017-02-10 DOI: 10.6092/ISSN.2240-2829/6685
Valentina Casarino
{"title":"Some Remarks on Harmonic Projection Operators on Spheres","authors":"Valentina Casarino","doi":"10.6092/ISSN.2240-2829/6685","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/6685","url":null,"abstract":"Presentiamo un sunto di alcuni risultati recenti relativi alle proprieta degli operatori di proiezione armonica, che mappano lo spazio delle funzioni a quadrato sommabile sulla sfera unitaria complessa e quaternionica sopra gli autospazi congiunti per l'operatore di Laplace-Beltrami e per un sublaplaciano. Discutiamo, in particolare, analogie e differenze fra il caso reale, quello complesso e quello quaternionico.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"7 1","pages":"1-17"},"PeriodicalIF":0.2,"publicationDate":"2017-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46900414","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
Linear Parabolic Mixed Problems in Spaces of Hölder Continuous Functions: Old and New Results Hölder连续函数空间中的线性抛物型混合问题：新旧结果
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2017-02-10 DOI: 10.6092/ISSN.2240-2829/6697
D. Guidetti
{"title":"Linear Parabolic Mixed Problems in Spaces of Hölder Continuous Functions: Old and New Results","authors":"D. Guidetti","doi":"10.6092/ISSN.2240-2829/6697","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/6697","url":null,"abstract":"We illustrate some old and new results, concerning linear parabolic mixed problems in spaces of Holder continuous functions: we begin with the classical Dirichlet and oblique derivative problems and continue with dynamic and Wentzell boundary conditions.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"7 1","pages":"165-174"},"PeriodicalIF":0.2,"publicationDate":"2017-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43604511","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
Semiclassical Analysis in Infinite Dimensions: Wigner Measures 无限维的半经典分析:维格纳测度
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2017-02-10 DOI: 10.6092/ISSN.2240-2829/6686
M. Falconi
{"title":"Semiclassical Analysis in Infinite Dimensions: Wigner Measures","authors":"M. Falconi","doi":"10.6092/ISSN.2240-2829/6686","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/6686","url":null,"abstract":"We review some aspects of semiclassical analysis for systems whose phase space is of arbitrary (possibly infinite) dimension. An emphasis will be put on a general derivation of the so-called Wigner classical measures as the limit of states in a noncommutative algebra of quantum observables.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"7 1","pages":"18-35"},"PeriodicalIF":0.2,"publicationDate":"2017-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41524308","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
Steiner Formula and Gaussian Curvature in the Heisenberg Group 斯坦纳公式与海森堡群中的高斯曲率
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2017-02-10 DOI: 10.6092/ISSN.2240-2829/6693
E. Vecchi
{"title":"Steiner Formula and Gaussian Curvature in the Heisenberg Group","authors":"E. Vecchi","doi":"10.6092/ISSN.2240-2829/6693","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/6693","url":null,"abstract":"The classical Steiner formula expresses the volume of the ∈-neighborhood Ω ∈ of a bounded and regular domain  Ω⊂R n as a polynomial of degree n in ∈. In particular, the coefficients of this polynomial are the integrals of functions of the curvatures of the boundary ∂Ω. The aim of this note is to present the Heisenberg counterpart of this result. The original motivation for studying this kind of extension is to try to identify a suitable candidate for the notion of horizontal Gaussian curvature. The results presented in this note are contained in the paper [4] written in collaboration with Zoltan Balogh, Fausto Ferrari, Bruno Franchi and Kevin Wildrick","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"7 1","pages":"97-115"},"PeriodicalIF":0.2,"publicationDate":"2017-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48603222","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
Analytic Hypoellipticity and the Treves Conjecture 解析亚椭圆性与Treves猜想
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2017-02-10 DOI: 10.6092/ISSN.2240-2829/6690
M. Mughetti
{"title":"Analytic Hypoellipticity and the Treves Conjecture","authors":"M. Mughetti","doi":"10.6092/ISSN.2240-2829/6690","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/6690","url":null,"abstract":"We are concerned with the problem of the analytic hypoellipticity; precisely, we focus on the real analytic regularity of the solutions of sums of squares with real analytic coefficients. Treves conjecture states that an operator of this type is analytic hypoelliptic if and only if all the strata in the Poisson-Treves stratification are symplectic. We discuss a model operator, P , (firstly appeared and studied in [3]) having a single symplectic stratum and prove that it is not analytic hypoelliptic. This yields a counterexample to the sufficient part of Treves conjecture; the necessary part is still an open problem.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"7 1","pages":"53-68"},"PeriodicalIF":0.2,"publicationDate":"2017-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46396401","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 Eigenvalue Problem for Nonlocal Equations 一类非局部方程的特征值问题
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2017-02-10 DOI: 10.6092/ISSN.2240-2829/6691
Giovanni Molica Bisci, Raffaella Servadei
{"title":"An Eigenvalue Problem for Nonlocal Equations","authors":"Giovanni Molica Bisci, Raffaella Servadei","doi":"10.6092/ISSN.2240-2829/6691","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/6691","url":null,"abstract":"In this paper we study the existence of a positive weak solution for a class of nonlocal equations under Dirichlet boundary conditions and involving the regional fractional Laplacian operator...Our result extends to the fractional setting some theorems obtained recently for ordinary and classical elliptic equations, as well as some characterization properties proved for differential problems involving different elliptic operators. With respect to these cases studied in literature, the nonlocal one considered here presents some additional difficulties, so that a careful analysis of the fractional spaces involved is necessary, as well as some nonlocal L^q estimates, recently proved in the nonlocal framework.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"7 1","pages":"69-84"},"PeriodicalIF":0.2,"publicationDate":"2017-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48342976","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
Identification for General Degenerate Problems of Hyperbolic Type 双曲型一般退化问题的辨识
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2017-02-10 DOI: 10.6092/ISSN.2240-2829/6698
A. Favini, G. Marinoschi
{"title":"Identification for General Degenerate Problems of Hyperbolic Type","authors":"A. Favini, G. Marinoschi","doi":"10.6092/ISSN.2240-2829/6698","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/6698","url":null,"abstract":"A degenerate identification problem in Hilbert space is described, improving a previous paper [2]. An application to second order evolution equations of hyperbolic type is given. The abstract results are applied to concrete differential problems of interest in applied sciences.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"7 1","pages":"175-188"},"PeriodicalIF":0.2,"publicationDate":"2017-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41629815","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
Regularity Results for Local Minimizers of Functionals with Discontinuous Coefficients 具有间断系数的泛函的局部极小化的正则性结果
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2017-02-10 DOI: 10.6092/ISSN.2240-2829/6695
Raffaella Giova, A. Napoli
{"title":"Regularity Results for Local Minimizers of Functionals with Discontinuous Coefficients","authors":"Raffaella Giova, A. Napoli","doi":"10.6092/ISSN.2240-2829/6695","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/6695","url":null,"abstract":"We give an overview on recent regularity results of local vectorial minimizers of under two main features: the energy density is uniformly convex with respect to the gradient variable only at infinity and it depends on the spatial variable through a possibly discontinuous coefficient. More precisely, the results that we present tell that a suitable weak differentiability property of the integrand as function of the spatial variable implies the higher differentiability and the higher integrability of the gradient of the local minimizers. We also discuss the regularity of the local solutions of nonlinear elliptic equations under a fractional Sobolev assumption.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"7 1","pages":"129-146"},"PeriodicalIF":0.2,"publicationDate":"2017-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44978450","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
A Measure Zero UDS in the Heisenberg Group 海森堡群中的测度零UDS
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2017-02-10 DOI: 10.6092/ISSN.2240-2829/6692
A. Pinamonti, Gareth Speight
{"title":"A Measure Zero UDS in the Heisenberg Group","authors":"A. Pinamonti, Gareth Speight","doi":"10.6092/ISSN.2240-2829/6692","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/6692","url":null,"abstract":"We show that the Heisenberg group contains a measure zero set N such that every real-valued Lipschitz function is Pansu differentiable at a point of N.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"7 1","pages":"85-96"},"PeriodicalIF":0.2,"publicationDate":"2017-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47893826","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: 4
Group Actions On The Sphere And Multiplicity Results For The Cr-Yamabe Equation Cr-Yamabe方程在球上的群作用及其多重性结果
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2015-12-30 DOI: 10.6092/ISSN.2240-2829/5975
Vittorio Martino
{"title":"Group Actions On The Sphere And Multiplicity Results For The Cr-Yamabe Equation","authors":"Vittorio Martino","doi":"10.6092/ISSN.2240-2829/5975","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/5975","url":null,"abstract":"We will show that the CR-Yamabe equation has several families of infinitely many changing sign solutions, each of them having different symmetries. The problem is variational but it is not Palais-Smale: using different complex group actions on the sphere, we will find many closed subspaces on which we can apply the minmax argument.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"6 1","pages":"128-137"},"PeriodicalIF":0.2,"publicationDate":"2015-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71263244","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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