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- W2952173877 abstract "We consider the Dirichlet form given by sE(f,f)&=&{1/2}int_{bR^d}sum_{i,j=1}^d a_{ij}(x)frac{partial f(x)}{partial x_i} frac{partial f(x)}{partial x_j} dx &+&int_{bR^dtimes bR^d} (f(y)-f(x))^2J(x,y)dxdy. Under the assumption that the ${a_{ij}}$ are symmetric and uniformly elliptic and with suitable conditions on $J$, the nonlocal part, we obtain upper and lower bounds on the heat kernel of the Dirichlet form. We also prove a Harnack inequality and a regularity theorem for functions that are harmonic with respect to $sE$." @default.
- W2952173877 created "2019-06-27" @default.
- W2952173877 creator A5040547720 @default.
- W2952173877 date "2009-01-26" @default.
- W2952173877 modified "2023-09-27" @default.
- W2952173877 title "Heat kernel estimates and Harnack inequalities for some Dirichlet forms with non-local part" @default.
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