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math.AP1998
The Dirichlet problem for superdegenerate differential operators
Denis R. Bell, Salah E. -A. Mohammed
Let be an infinitely degenerate second-order linear operator defined on a bounded smooth Euclidean domain. Under weaker conditions than those of Hörmander, we show that the Dir…
math.PR1998
The Stable Manifold Theorem for Stochastic Differential Equations
Salah-Eldin A. Mohammed, Michael K. R. Scheutzow
We formulate and prove a {\it Local Stable Manifold Theorem\/} for stochastic differential equations (sde's) that are driven by spatial Kunita-type semimartingales with stationary…