Nonlocal Harnack inequalities for nonlocal heat equations
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DOI: 10.1016/j.jde.2019.07.006
Abstract: In this paper, applying the De Giorgi method, we obtain nonlocal Harnack inequalities for weak solutions of nonlocal parabolic equations given by an integro-differential operator $\rL_K$ as follows; \begin{equation*}\begin{cases} \rL_K u+\pa_t u=0 &\text{ in $\Om\times(-T,0]$… read more here.
Keywords: inequalities nonlocal; harnack; equations nonlocal; nonlocal harnack ... See more keywords
Wang's Harnack inequalities for space–time white noises driven SPDEs with two reflecting walls and their applications
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.09.029
Abstract: Abstract In this paper, we establish Wang's Harnack inequalities for Gaussian space–time white noises driven the stochastic partial differential equation with double reflecting walls, which is of the infinite dimensional Skorokhod equation. We first establish… read more here.
Keywords: white noises; wang harnack; harnack; harnack inequalities ... See more keywords
Properties of switching jump diffusions: Maximum principles and Harnack inequalities
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DOI: 10.3150/17-bej1012
Abstract: This work examines a class of switching jump diffusion processes. The main effort is devoted to proving the maximum principle and obtaining the Harnack inequalities. Compared with the diffusions and switching diffusions, the associated operators… read more here.
Keywords: jump diffusions; properties switching; diffusions maximum; jump ... See more keywords