3 citations · 5 across the 5 of their papers we have counts for
5 papers
Boundary estimates for a degenerate parabolic equation with partial Dirichlet boundary conditions
Charles L. Epstein, Camelia A. Pop
We study the boundary regularity properties and derive a priori pointwise supremum estimates of weak solutions and their derivatives in terms of suitable weighted -norms for a…
Harnack Inequalities for Degenerate Diffusions
Charles L. Epstein, Camelia A. Pop
We study various probabilistic and analytical properties of a class of degenerate diffusion operators arising in Population Genetics, the so-called generalized Kimura diffusion ope…
Existence, uniqueness and the strong Markov property of solutions to Kimura diffusions with singular drift
Camelia A. Pop
Motivated by applications to proving regularity of solutions to degenerate parabolic equations arising in population genetics, we study existence, uniqueness and the strong Markov…
-estimates and smoothness of solutions to the parabolic equation defined by Kimura operators
Camelia A. Pop
Kimura diffusions serve as a stochastic model for the evolution of gene frequencies in population genetics. Their infinitesimal generator is an elliptic differential operator whose…
Optimal regularity of solutions to the obstacle problem for the fractional Laplacian with drift
Arshak Petrosyan, Camelia A. Pop
We prove existence, uniqueness and optimal regularity of solutions to the stationary obstacle problem defined by the fractional Laplacian operator with drift, in the subcritical re…