| OPTIMAL SMOOTHING EFFECT OF FRACTIONAL KRAMERS-FOKKER-PLANCK EQUATION WITH MODERATE SOFT POTENTIAL |
| Received:July 20, 2024 Revised:July 25, 2024 |
| Key Words:
Fractional Kramers-Fokker-Planck equation, moderate soft potential, Gelfand-Shilov space
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| Abstract: |
| We study the Cauchy problem of the fractional Kramers-Fokker- Planck equation with moderate soft potential and show that the solution to the Cauchy problem enjoys an analytic Gelfand-Shilov regularizing effect for positive time. |
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