Abstract
Upper bounds are obtained for the heat trace weighted by a negative power of the distance to the boundary of an open set D in a complete Riemannian manifold, provided the Dirichlet-Laplace-Beltrami operator acting in L 2(D) satisfies a strong Hardy inequality.
| Translated title of the contribution | Hardy inequality and weighted heat trace |
|---|---|
| Original language | English |
| Pages (from-to) | 201 - 209 |
| Number of pages | 9 |
| Journal | Potential Analysis |
| Volume | 30, number 3 |
| DOIs | |
| Publication status | Published - Apr 2009 |