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arxiv: 1503.03126 · v2 · pith:T6UOYVENnew · submitted 2015-03-10 · 🧮 math.AP

Semiconcavity of viscosity solutions for a class of degenerate elliptic integro-differential equations in mathbb R^n

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keywords equationsclassdegenerateellipticintegro-differentialsolutionsviscositymathbb
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This paper is concerned with semiconcavity of viscosity solutions for a class of degenerate elliptic integro-differential equations in $\mathbb R^n$. This class of equations includes Bellman equations containing operators of L\'evy-It\^o type. H\"{o}lder and Lipschitz continuity of viscosity solutions for a more general class of degenerate elliptic integro-differential equations are also provided.

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