We address the inviscid limit for the Navier-Stokes equations in
a half space, with initial datum that is analytic only close to the
boundary of the domain, and has finite Sobolev regularity in the
complement. We prove that for such data the...
Abstract: Quantitative geometric measure theory has played a
fundamental role in the development of harmonic analysis, potential
theory and partial differential equations on non-smooth domains. In
general the tools used in this area differ greatly...