Boundary Behavior of Non-Negative Solutions of the Heat Equation in Sub-Riemannian Spaces |
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| Authors: | Isidro Humberto Munive |
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| Affiliation: | 1. Department of Mathematics, Purdue University, 150 North University Street, West Lafayette, IN, 47907-2067, USA
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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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