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arXiv · 1005.4239

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

Isidro H Munive
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Abstract

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 theorem, among other results, are established here. A backward Harnack inequality is proved for non-negative solutions vanishing in the lateral boundary.

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Isidro H Munive. 2010-05-23. Boundary Behavior of Non-Negative Solutions of the Heat Equation in Sub-Riemannian Spaces. https://arxiv.org/abs/1005.4239

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