Limiting behavior of solutions of subelliptic heat equations

Dragoni, Federica ORCID: https://orcid.org/0000-0001-6076-9725 2007. Limiting behavior of solutions of subelliptic heat equations. Nonlinear Differential Equations and Application NoDEA 14 (3-4) , pp. 429-441. 10.1007/s00030-007-6013-0

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Abstract

We investigate the behavior, as ε → 0+, of ε log wε(t, x) where wε 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-Carath ́eodory distance.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Springer Verlag
Last Modified:	28 Oct 2022 09:35
URI:	https://orca.cardiff.ac.uk/id/eprint/75014

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