Abstract: |
In this talk, we`ll explore a family of nonlocal kinetic equations that generalize the well-known Fokker-Planck equation and linearize the non-cutoff Boltzmann equation. We use a combination of hypoelliptic properties and De Giorgi`s method to obtain H\{o}lder continuity. Since our approach is entirely energy based, we can account for unbounded source terms and a wide range of dissipative degrees. |
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