Extends De Giorgi-Nash-Moser theory to nonlocal hypoelliptic kinetic equations, proving local L²-L^∞ estimates and strong Harnack inequalities for weak solutions under a p-summable nonlocal velocity tail condition along drift variables.
Loher: Semi-local behaviour of non-local hypoelliptic equations: divergence form
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De Giorgi-Nash-Moser theory for kinetic equations with nonlocal diffusions
Extends De Giorgi-Nash-Moser theory to nonlocal hypoelliptic kinetic equations, proving local L²-L^∞ estimates and strong Harnack inequalities for weak solutions under a p-summable nonlocal velocity tail condition along drift variables.