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Dive into the research topics where Chiara Cinti is active.

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Featured researches published by Chiara Cinti.


Rendiconti Lincei-matematica E Applicazioni | 2009

Uniqueness in the Cauchy problem for a class of hypoelliptic ultraparabolic operators

Chiara Cinti

We consider a class of hypoelliptic ultraparabolic operators in the form L = (X_1)^2 + ... + (X_m)^2 + X_0 - \partial_t, under the assumption that the vector fields X_1, ..., X_m and X_0-\partial_t are invariant with respect to a suitable homogeneous Lie group G. We show that if u,v are two solutions of Lu = 0 on R^Nx]0,T[ and u(x,0)=\phi, then each of the following conditions: |u(x,t)-v(x,t)| can be bounded by M exp(c(|x|_G)^2), or both u and v are non negative, implies u=v. We use a technique which relies on a pointwise estimate of the fundamental solution of L.


Mathematische Annalen | 2008

Pointwise estimates for a class of non-homogeneous Kolmogorov equations

Chiara Cinti; Andrea Pascucci; Sergio Polidoro


Potential Analysis | 2010

A Note on Harnack Inequalities and Propagation Sets for a Class of Hypoelliptic Operators

Chiara Cinti; Kaj Nyström; Sergio Polidoro


Journal of Mathematical Analysis and Applications | 2008

Pointwise local estimates and Gaussian upper bounds for a class of uniformly subelliptic ultraparabolic operators

Chiara Cinti; Sergio Polidoro


Potential Analysis | 2015

Two-sided bounds for degenerate processes with densities supported in subsets of R N

Chiara Cinti; Stéphane Menozzi; Sergio Polidoro


Annali di Matematica Pura ed Applicata | 2012

A boundary estimate for non-negative solutions to Kolmogorov operators in non-divergence form

Chiara Cinti; Kaj Nyström; Sergio Polidoro


Potential Analysis | 2009

Riesz and Poisson-Jensen Representation Formulas for a Class of Ultraparabolic Operators on Lie Groups

Chiara Cinti; Ermanno Lanconelli


Potential Analysis | 2005

A Poisson–Jensen Type Representation Formula for Subharmonic Functions on Stratified Lie Groups

Andrea Bonfiglioli; Chiara Cinti


Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze | 2013

A Carleson-type estimate in Lipschitz type domains for non-negative solutions to Kolmogorov equations

Chiara Cinti; Kaj Nyström; Sergio Polidoro


Mathematica Scandinavica | 2007

Sub-solutions and mean-value operators for ultraparabolic equations on Lie groups

Chiara Cinti

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