arXiv:1510.08602 Abstract | arXiv Analytics

arXiv:1510.08602 [math.AP]Abstract References Reviews Resources

The ergodic problem for some subelliptic operators with unbounded coefficients

Paola Mannucci, Claudio Marchi, Nicoletta Tchou

Published 2015-10-29Version 1

We study existence and uniqueness of the invariant measure for a stochastic process with degenerate diffusion, whose infinitesimal generator is a linear subelliptic operator in the whole space R N with coefficients that may be unbounded. Such a measure together with a Liouville-type theorem will play a crucial role in the characterization of the ergodic constant defined through stationary problems with vanishing discount.

Categories: math.AP

Keywords: ergodic problem, unbounded coefficients, linear subelliptic operator, degenerate diffusion, stationary problems

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