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Regularity results for fully nonlinear parabolic integro-differential operators

✍ Scribed by Yong-Cheol Kim, Ki-Ahm Lee


Book ID
120747862
Publisher
Springer
Year
2013
Tongue
English
Weight
439 KB
Volume
357
Category
Article
ISSN
0025-5831

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Regularity theory for fully nonlinear in
✍ Luis Caffarelli; Luis Silvestre πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 312 KB

## Abstract We consider nonlinear integro‐differential equations like the ones that arise from stochastic control problems with purely jump LΓ©vy processes. We obtain a nonlocal version of the ABP estimate, Harnack inequality, and interior __C__^1, Ξ±^ regularity for general fully nonlinear integro‐d