| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4591016 | Journal of Functional Analysis | 2011 | 11 Pages |
Abstract
A well-known conjecture of R. Laugesen and C. Morpurgo asserts that the diagonal of the Neumann heat kernel of the unit ball U⊂Rn is a strictly increasing radial function. In this paper we use probabilistic arguments to settle this conjecture and to prove some inequalities for the Neumann heat kernel in the ball.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
