On the second order derivatives of solutions of a special Isaacs equation

Kovats, Jay

doi:10.1090/proc/12956

On the second order derivatives of solutions of a special Isaacs equation
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Proc. Amer. Math. Soc. 144 (2016), 1523-1533 Request permission

Abstract:

In this paper, we investigate continuity and integrability properties of the second order derivatives of viscosity solutions of a certain uniformly elliptic Isaacs equation. We give sufficient and necessary conditions for continuity of the second order derivatives and give sufficient conditions for interior $W^{2,p}$ regularity, $1<p<\infty$.

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