Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data

Details Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data

2010-11-08

arxiv.org/abs/1011.1726v2

Mathematics

Spectral Theory

New version fixes minor misprints

Scientific paper

Upper bounds are obtained for the heat content of an open set D in a geodesically complete Riemannian manifold M with Dirichlet boundary condition on bd(D), and non-negative initial condition. We show that these upper bounds are close to being sharp if (i) the Dirichlet-Laplace-Beltrami operator acting in $L^2(D)$ satisfies a strong Hardy inequality with weight $r^2$, (ii) the initial temperature distribution, and the specific heat of D are given by $r^{-a}$ and $r^{-b}$ respectively, where $r$ is the distance to the boundary, and 1

Affiliated with

Also associated with

No associations

Rating

Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-130793