40 citations · 112 across the 12 of their papers we have counts for
4 papers · 1 filter
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…
On the martingale problem for degenerate-parabolic partial differential operators with unbounded coefficients and a mimicking theorem for Ito processes
Paul M. N. Feehan, Camelia Pop
Using results from our companion article [arXiv:1112.4824v2] on a Schauder approach to existence of solutions to a degenerate-parabolic partial differential equation, we solve thre…
Stochastic representation of solutions to degenerate elliptic and parabolic boundary value and obstacle problems with Dirichlet boundary conditions
Paul M. N. Feehan, Camelia Pop
We prove existence and uniqueness of stochastic representations for solutions to elliptic and parabolic boundary value and obstacle problems associated with a degenerate Markov dif…