Title of article
Monotonicity properties of the Neumann heat kernel in the ball ✩
Author/Authors
Mihai N. Pascu ?، نويسنده , , Maria E. Gageonea، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
11
From page
490
To page
500
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.
© 2010 Elsevier Inc. All rights reserved.
Keywords
Neumann heat kernel , Reflecting Brownian motion , Hot Spots conjecture
Journal title
Journal of Functional Analysis
Serial Year
2011
Journal title
Journal of Functional Analysis
Record number
840353
Link To Document