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
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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
Differential Harnack estimates for time-dependent heat equations with potentials in a closed spherical CR 3-manifold
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DOI: 10.1016/j.jmaa.2018.12.030
Abstract: Abstract In this paper, we derive differential Harnack estimates for time-dependent heat equations with potentials under the CR Yamabe flow in a closed spherical CR 3-manifold with positive Tanaka–Webster curvature and vanishing torsion. It can… read more here.
Keywords: differential harnack; harnack estimates; dependent heat; harnack ... See more keywords