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math.AP2014
-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…
math.AP2014
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…