Sobolev spaces on Lie manifolds and regularity for polyhedral domains
Sobolev spaces on Lie manifolds and regularity for polyhedral domains
We study some basic analytic questions related to differential operators on Lie manifolds, which are manifolds whose large scale geometry can be described by a a Lie algebra of vector fields on a compactification. We extend to Lie manifolds several classical results on Sobolev spaces, elliptic regularity, and mapping properties …