Smooth approximations for fully nonlinear nonlocal elliptic equations

Fernández-Real, Xavier

doi:10.1090/tran/9038

Smooth approximations for fully nonlinear nonlocal elliptic equations
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by Xavier Fernández-Real

Trans. Amer. Math. Soc. 377 (2024), 495-515

DOI: https://doi.org/10.1090/tran/9038

Published electronically: October 19, 2023

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Abstract:

We show that any viscosity solution to a general fully nonlinear nonlocal elliptic equation can be approximated by smooth ($C^\infty$) solutions.

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