Now showing items 1-2 of 2
The Martin boundary in non-Lipschitz domains
(American Mathematical Society, 1993)
The Martin boundary with respect to the Laplacian and with respect to uniformly elliptic operators in divergence form can be identified with the Euclidean boundary in C [to the power of gamma] domains, where [gamma](x) = bx log log(1/x)/ log log log(1/x), b small. A counterexample shows that this result is very nearly sharp.
On domain monotonicity of the Neumann heat kernel
(Academic Press (Elsevier), 1993-08-15)
Some examples are given of convex domains for which domain monotonicity of the Neumann heat kernel does not hold.