Uniform gradient estimates on manifolds with a boundary and applications
Sign Up to like & getrecommendations! Published in 2018 at "Analysis and Mathematical Physics"
DOI: 10.1007/s13324-018-0228-6
Abstract: We revisit the problem of obtaining uniform gradient estimates for Dirichlet and Neumann heat semigroups on Riemannian manifolds with boundary. As applications, we obtain isoperimetric inequalities, using Ledoux’s argument, and uniform quantitative gradient estimates, firstly… read more here.
Keywords: gradient estimates; manifolds boundary; uniform gradient; estimates manifolds ... See more keywords
Distance from submanifolds with boundary and applications to Poincaré inequalities and to elliptic and parabolic problems
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.04.038
Abstract: Abstract We investigate regularity of the distance function from submanifolds with boundary of R n . By exploiting these regularity results, we show a Poincare inequality with matrix weights that degenerate along a submanifold with… read more here.
Keywords: elliptic parabolic; distance submanifolds; boundary applications; applications poincar ... See more keywords