Calderon-Zygmund type estimates for nonlocal PDE with Hölder continuous kernel
Sign Up to like & getrecommendations! Published in 2021 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2021.107692
Abstract: We study interior $L^p$-regularity theory, also known as Calderon-Zygmund theory, of the equation \[ \int_{\mathbb{R}^n} \int_{\mathbb{R}^n} \frac{K(x,y)\ (u(x)-u(y))\, (\varphi(x)-\varphi(y))}{|x-y|^{n+2s}}\, dx\, dy = \langle f, \varphi \rangle \quad \varphi \in C_c^\infty(\mathbb{R}^n). \] For $s \in (0,1)$,… read more here.
Keywords: varphi; delta; mathbb; int mathbb ... See more keywords