Sharp boundary ε-regularity of optimal transport maps
Sign Up to like & getrecommendations! Published in 2021 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2021.107603
Abstract: Abstract In this paper we develop a boundary e-regularity theory for optimal transport maps between bounded open sets with C 1 , α -boundary. Our main result asserts sharp C 1 , α -regularity of… read more here.
Keywords: boundary regularity; transport; regularity; sharp boundary ... See more keywords
Uniform boundary regularity in almost-periodic homogenization
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2016.09.031
Abstract: Abstract In the present paper, we generalize the theory of quantitative homogenization for second-order elliptic systems with rapidly oscillating coefficients in A P W 2 ( R d ) , which is the space of… read more here.
Keywords: periodic homogenization; uniform boundary; boundary regularity; almost periodic ... See more keywords