Abstract.
We investigate the behavior, as ε → 0+, of ε log w ε (t, x) where w ε are solutions of a suitable family of subelliptic heat equations. Using the Large Deviation Principle, we show that the limiting behavior is described by the metric inf-convolution w.r.t. the associated Carnot-Carathéodory distance.
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Dragoni, F. Limiting behavior of solutions of subelliptic heat equations. Nonlinear differ. equ. appl. 14, 429–441 (2007). https://doi.org/10.1007/s00030-007-6013-0
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DOI: https://doi.org/10.1007/s00030-007-6013-0