Derives kinetic Gagliardo-Nirenberg inequalities to prove local boundedness of subsolutions to nonlinear kinetic diffusion equations with p-growth.
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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.
citing papers explorer
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Nonlinear Kinetic Diffusion Equations with $p$-Growth
Derives kinetic Gagliardo-Nirenberg inequalities to prove local boundedness of subsolutions to nonlinear kinetic diffusion equations with p-growth.
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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.