Regularity theory for fully nonlinear integro-differential equations

Regularity theory for fully nonlinear integro-differential equations

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Tianling Jin , The Hong Kong University of Science and Technology
Fine Hall 1001

Please note special day (Thursday) and room (Fine1001).  Integro-differential equations appear naturally when studying discontinuous stochastic processes, and we are interested in the regularity properties of their solutions. In this talk we will prove Schauder estimates for fully nonlinear integro-differential equations, where a key ingredient is a recursive Evans-Krylov theorem for translation invariant equations. This is joint work with Jingang Xiong.