Isidro H. Munive

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math.AP2010

Non-divergence form parabolic equations associated with non-commuting vector fields: Boundary behavior of nonnegative solutions

M. Frentz, N. Garofalo, E. Götmark +2

In a cylinder $Ω_{T} = Ω \times (0, T) \subset R_{+}^{n + 1}$ we study the boundary behavior of nonnegative solutions of second order parabolic equations of the form \[ Hu =\sum_{i,j=1}^ma_{…

math.AP2010

Boundary Behavior of Non-Negative Solutions of the Heat Equation in Sub-Riemannian Spaces

Isidro H Munive

We prove Fatou type theorems for solutions of the heat equation in sub- Riemannian spaces. The doubling property of L-caloric measure, the Dahlberg estimate, the local comparison t…