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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 ...
Heat kernel estimates for the $\bar\partial$-Neumann problem on $G$-manifolds
Heat kernel estimates $\bar\partial$-Neumann problem $G$-manifolds
2010/12/13
We prove heat kernel estimates for the ¯@-Neumann Laplacian acting in spaces of differential forms over noncompact manifolds with a Lie group symmetry and compact quotient. We
also relate our ...