A. Bonfiglioli

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math.AP2019

Global Heat Kernels for Parabolic Homogeneous Hörmander Operators

Stefano Biagi, Andrea Bonfiglioli

The aim of this paper is to prove the existence and several selected properties of a global fundamental Heat kernel $Γ$ for the parabolic operators $\mathcal{H}=\sum_{j=1}^m X_j^2-…

math.AP2019

Global estimates in Sobolev spaces for homogeneous Hörmander sums of squares

Stefano Biagi, Andrea Bonfiglioli, Marco Bramanti

Let $L = \sum_{j = 1}^{m} X_{j}^{2}$ be a Hörmander sum of squares of vector fields in space $R^{n}$ , where any $X_{j}$ is homogeneous of degree $1$ with respect to a family o…

math.AP2019

Global estimates for the fundamental solution of homogeneous Hörmander operators

Stefano Biagi, Andrea Bonfiglioli, Marco Bramanti

Let $L = \sum_{j = 1}^{m} X_{j}^{2}$ be a Hörmander sum of squares of vector fields in $R^{n}$ , where any $X_{j}$ is homogeneous of degree $1$ with respect to a famil…