Fractional diffusion in the full space: decay and regularity

M Faustmann, A Rieder - arxiv preprint arxiv:2301.05503, 2023‏ - arxiv.org
We consider fractional partial differential equations posed on the full space $\R^ d $. Using
the well-known Caffarelli-Silvestre extension to $\R^ d\times\R^+ $ as equivalent definition …