Flows and invariance for degenerate elliptic operators

ter Elst, A. F. M.; Robinson, Derek; Sikora, Adam

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Flows and invariance for degenerate elliptic operators

Date

2011

Authors

ter Elst, A. F. M.

Robinson, Derek

Sikora, Adam

Publisher

Australian Mathematics Publishing Association

Abstract

Let S be a sub-Markovian semigroup on L2(ℝd) generated by a self-adjoint, second-order, divergence-form, elliptic operator H with W1,∞(ℝd) coefficients ckl, and let Ω be an open subset of ℝd. We prove that if either C∞c(ℝd) is a core of the s