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Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation
Dirichlet heat kernel fractional Laplacian gradient perturbation
2010/11/19
Suppose $d\geq 2$ and $\alpha \in (1, 2)$. Let $D$ be a bounded $C^{1,1}$ open set in $R^d$ and $b$ an $R^d$-valued function on $R^d$ whose components are in a certain Kato class of the rotationally ...
Non-Local Tug-of-War and the Infinity Fractional Laplacian
Non-Local Tug-of-War the Infinity Fractional Laplacian
2010/11/15
Motivated by the "tug-of-war" game studied in [12], we consider a "non-local" version of the game which goes as follows: at every step two players pick respectively a direction and then, instead of f...