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Harnack-type inequalities for nonlocal parabolic equations in the upper fast-diffusion range

Savchenko, Mariia et al.
arXiv (All) · Papers
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35b6535k5535r11analysis-of-pdes
We study non-negative weak solutions to a class of doubly nonlinear nonlocal parabolic equations of the form $$ (u^q)_t+\mathcal Lu=0, $$ where $\mathcal L$ is a nonlocal $p$-Laplace-type operator with a symmetric measurable kernel. We consider the fast-diffusion range $1<p<q+1$ and establish Harnac
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