数学科学研究所
Insitute of Mathematical Science

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

Seminar| Institute of Mathematical Sciences

Time:TuesdayJune 13rd, 2023 , 15:00-16:00
Location:IMS, RS408
Speaker: Jingrui Cheng,Stony Brook University

AbstractThe 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.




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