Matches in SemOpenAlex for { <https://semopenalex.org/work/W2891158499> ?p ?o ?g. }
- W2891158499 abstract "We introduce the concept of $C^{m,alpha}$-nonlocal operators, extending the notion of second order elliptic operator in divergence form with $C^{m,alpha}$-coefficients. We then derive the nonlocal analogue of the key existing results for elliptic equations in divergence form, notably the Holder continuity of the gradient of the solutions in the case of $C^{0,alpha}$-coefficients and the classical Shauder estimates for $C^{m+1,alpha}$-coefficients. We further apply the regularity results for $C^{m,alpha}$-nonlocal operators to derive optimal higher order regularity estimates of Lipschitz graphs with prescribed Nonlocal Mean Curvature. Applications to nonlocal equation on manifolds are also provided." @default.
- W2891158499 created "2018-09-27" @default.
- W2891158499 creator A5063408184 @default.
- W2891158499 date "2018-06-24" @default.
- W2891158499 modified "2023-10-16" @default.
- W2891158499 title "Regularity results for nonlocal equations and applications" @default.
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