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math.AP2021
The method of stochastic characteristics for linear second-order hypoelliptic equations
Juraj Foldes, David Herzog
We study hypoelliptic stochastic differential equations (SDEs) and their connection to degenerate-elliptic boundary value problems on bounded or unbounded domains. In particular, w…
math.AP2013
An extension of Hörmander's hypoellipticity theorem
David P. Herzog, Nathan Totz
Motivated by applications to stochastic differential equations, an extension of Hörmander's hypoellipticity theorem is proved for second-order degenerate elliptic operators with no…