Mathematical Physics Seminar

Series: Mathematical Physics Seminar Series

Regularity theory for fully nonlinear integro-differential equations

Tianling Jin, Assistant Professor, Mathematics, The Hong Kong University of Science and Technology,

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 pointwise Schauder estimates for fully nonlinear integro-differential equations. A key ingredient is a recursive Evans-Krylov theorem for translation invariant equations. This is joint work with Jingang Xiong.

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For more information, please contact Rupert Frank by email at [email protected].