B. T. Chao

Dirichlet eigenfunction and heat kernel estimates on annular domains

Abstract Motivated by Euclidean boxes, we consider “thin” annular domains of the form U = ( a , b ) × U 0 ⊆ R n $U=\left(a,b\right){\times}{U}_{0}\subseteq {\mathbb{R}}^{n}$ in polar coordinates, where the spherical base U 0 ⊆ S n − 1 ${U}_{0}\subseteq {\mathbb{S}}^{n-1}$ is an i...