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Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators
Harmonic function boundary Harnack principle gradient estimate
2016/1/20
Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators.
A moderate deviation principle for empirical bootstrap measure
Large deviations moderate deviations bootstrap empirical measure
2012/6/27
We establish two moderate deviation principles (MDP) in the bootstrap setting. We prove MDP for the joint distribution of the empirical measure and the empirical bootstrap measure (empirical measure o...
Strong maximum principle for radiative tranfer type operators
Strong maximum principle tranfer type operators
2011/1/21
The strong maximum principle ((SMP) in short) for subsolutions of the radiative transfer type equations is shown in this paper. We treat a general class of integro-differential equations, defined in t...