scholarly journals Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation

2012 ◽  
Vol 40 (6) ◽  
pp. 2483-2538 ◽  
Author(s):  
Zhen-Qing Chen ◽  
Panki Kim ◽  
Renming Song
Keyword(s):  
Heat Kernel ◽  
Fractional Laplacian ◽  
Kernel Estimates ◽  
Heat Kernel Estimates ◽  
Dirichlet Heat Kernel

scholarly journals Dirichlet heat kernel estimates for subordinate Brownian motions with Gaussian components

2016 ◽  
Vol 2016 (711) ◽  
Author(s):  
Zhen-Qing Chen ◽  
Panki Kim ◽  
Renming Song
Keyword(s):  
Heat Kernel ◽  
Heat Kernels ◽  
Kernel Estimates ◽  
Brownian Motions ◽  
Heat Kernel Estimates ◽  
Dirichlet Heat Kernel

AbstractIn this paper, we derive explicit sharp two-sided estimates for the Dirichlet heat kernels, in

scholarly journals Dirichlet heat kernel estimates for $\Delta^{\alpha/2}+ \Delta^{\beta/2}$

2010 ◽  
Vol 54 (4) ◽  
pp. 1357-1392 ◽  
Author(s):  
Zhen-Qing Chen ◽  
Panki Kim ◽  
Renming Song
Keyword(s):  
Heat Kernel ◽  
Kernel Estimates ◽  
Heat Kernel Estimates ◽  
Beta 2 ◽  
Dirichlet Heat Kernel

scholarly journals Heat kernel estimates for the fractional Laplacian with Dirichlet conditions

2010 ◽  
Vol 38 (5) ◽  
pp. 1901-1923 ◽  
Author(s):  
Krzysztof Bogdan ◽  
Tomasz Grzywny ◽  
Michał Ryznar
Keyword(s):  
Heat Kernel ◽  
Fractional Laplacian ◽  
Kernel Estimates ◽  
Dirichlet Conditions ◽  
Heat Kernel Estimates
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