Limiting behavior of solutions of subelliptic heat equations
نویسنده
چکیده
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 CarnotCarathéodory distance. AMS classification numbers: 35K70; 49J24; 53C17; 60F10.
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تاریخ انتشار 2006