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Interior W^{2,p} estimates for complex Monge-Ampere equations

Jingrui Cheng
October 31, 2023
11:30 am - 12:20 pm
Zoom

Title:  Interior W^{2,p} estimates for complex Monge-Ampere equations

Speaker:  Jingrui Cheng (Stony Brook)

Abstract:  The classical estimate by Caffarelli shows that a strictly convex solution to the real Monge-Ampere equations has W^{2,p} regularity if the right hand side is close to a constant. We partially generalize this result to the complex version, when the underlying solution is close to a smooth strictly plurisubharmonic function. The additional assumption we impose is related to the lack of Pogorelov type estimate in the complex case. The talk is based on joint work with Yulun Xu.

Zoom:
https://osu.zoom.us/j/99158238170?pwd=S1I0MCsrczcrRW1qUUF1SmRaZVV2UT09

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Seminar - PDE