45 citations · 131 across the 33 of their papers we have counts for
Showing 1999 · math.PRShow all
3 papers · 2 filters
math.PR1999
On a singular semilinear elliptic boundary value problem and the boundary Harnack principle
Siva Athreya
We consider the singular boundary-value problem Δu = f(u) in D; u|_dD= phi, where 1. D is a bounded C^2-domain of R^d, d >= 3 2. f: (0,1) -> (0,1) is a locally Hölder continuous fu…
math.PR1999★ 1 cited
Monotonicity property for a class of semilinear partial differential equations
Siva Athreya
We establish a monotonicity property in the space variable for the solutions of an initial boundary value problem concerned with the parabolic partial differential equation connect…
math.PR1999
Uniqueness for a class of one-dimensional stochastic PDEs using moment duality
Siva Athreya, Roger Tribe
For independent nearest-neighbour bond percolation on Z^d with d >> 6, we prove that the incipient infinite cluster's two-point function and three-point function converge to those…