Interior Regularity Estimates for a Degenerate Elliptic Equation with Mixed Boundary Conditions

The Marchaud fractional derivative can be obtained as a Dirichlet-to–Neumann map via an extension problem to the upper half space. In this paper we prove interior Schauder regularity estimates for a degenerate elliptic equation with mixed Dirichlet–Neumann boundary conditions. The degenerate ellipti...

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Main Authors: Jean-Daniel Djida, Arran Fernandez
Format: Artigo
Sprog:Inglês
Udgivet: MDPI AG 2018-09-01
Serier:Axioms
Fag:
marchaud fractional derivative
interior regularity
schauder estimate
extension problem
fractional order weighted Sobolev spaces
Online adgang:http://www.mdpi.com/2075-1680/7/3/65
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