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- W4387223258 abstract "We introduce anisotropic Holder spaces useful for the study of the regularity theory for non local kinetic operators $mathcal{L}$ whose prototypal example is begin{equation} mathcal{L} u (t,x,v) = int_{mathbb{R}^d} frac{C_{d,s}}{|v - v'|^{d+2s}} (u(t,x,v') - u(t,x,v)) d v' + langle v , nabla_x rangle + partial_t, quad (t,x,v)inmathbb{R}timesmathbb{R}^{2d}. end{equation} The Holder spaces are defined in terms of an anisotropic distance relevant to the Galilean geometric structure on $mathbb{R}timesmathbb{R}^{2d}$ the operator $mathcal{L}$ is invariant with respect to. We prove an intrinsic Taylor-like formula, whose reminder is estimated in terms of the anisotropic distance of the Galilean structure. Our achievements naturally extend analogous known results for purely differential operators on Lie groups." @default.
- W4387223258 created "2023-10-01" @default.
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- W4387223258 date "2023-09-28" @default.
- W4387223258 modified "2023-10-18" @default.
- W4387223258 title "Intrinsic Holder spaces for fractional kinetic operators" @default.
- W4387223258 doi "https://doi.org/10.48550/arxiv.2309.16350" @default.
- W4387223258 hasPublicationYear "2023" @default.
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