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math.AP2013
Fundamental solutions and local solvability for nonsmooth Hörmander's operators
Marco Bramanti, Luca Brandolini, Maria Manfredini +1
We consider operators of the form in a bounded domain of R^p where X_0, X_1,...,X_n are nonsmooth Hörmander's vector fields of step r such that th…
math.AP2013★ 6 cited
Uniform Gaussian bounds for subelliptic heat kernels and an application to the total variation flow of graphs over Carnot groups
Luca Capogna, Giovanna Citti, Maria Manfredini
In this paper we study heat kernels associated to a Carnot group , endowed with a family of collapsing left-invariant Riemannian metrics $σ_\e$ which converge in the Gromov-Haus…