Browsing EPrint Collection  Mathematics by Subject "Martin boundary"
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The Martin boundary in nonLipschitz 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) = ... 
On minimal parabolic functions and timehomogenous parabolic htransforms
(American Mathematical Society, 19990329)Does a minimal harmonic function h remain minimal when it is viewed as a parabolic function? The question is answered for a class of long thin semiinfinite tubes D [is an element of the subset of real numbers to the power ... 
A probabilistic proof of the boundary Harnack principle
(Birkhauser Boston, Inc., 1990)The main purpose of this paper is to give a probabilistic proof of Theorem 1.1, one using elementary properties of Brownian motion. We also obtain the fact that the Martin boundary equals the Euclidean boundary as an easy ...