Data di Pubblicazione:
2017
Citazione:
Potential theory approach to Schauder estimates for the Fractional Laplacian / C. Bucur, A. Karakhanyan. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 1088-6826. - 145:2(2017 Feb), pp. 637-651. [10.1090/proc/13227]
Abstract:
We present an elementary approach for the proof of Schauder estimates
for the equation (−Δ)su(x) = f(x), 0 < s < 1, with f having a modulus
of continuity ωf , based on the Poisson representation formula and dyadic ball
approximation argument. We give the explicit modulus of continuity of u in
balls Br(x) ⊂ Rn in terms of ωf .
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
C. Bucur, A. Karakhanyan
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