scnews: "Asia-Pacific Analysis and PDE Seminar: Qing Liu -- UPDATED SEMINAR TIME: Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations" by Miranda Luo

Dear friends and colleagues,

Please note the updated seminar time below.

on Monday, 3 October 2022 at
• 12:00 PM for Beijing, Hong Kong and Perth
• 01:00 PM for Seoul and Tokyo
• 03:00 PM for Canberra, Melbourne and Sydney
• 05:00 PM for Auckland

Associate Professor Qing Liu is giving a talk in our Asia-Pacific Analysis and PDE Seminar on

Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations

Abstract:

In this talk, we discuss the quasiconvexity preserving property of positive viscosity solutions to a class of fully nonlinear parabolic equations with monotone nonlocal terms. We prove that if the initial value is quasiconvex, the viscosity solution to the Cauchy problem stays quasiconvex in space for all time. Our proof can be regarded as a limit version of the arguments for power convexity preservation as the exponent tends to infinity. We also present several concrete examples to show applications of our result. This talk is based on joint work with Takashi Kagaya (Muroran Institute of Technology) and Hiroyoshi Mitake (University of Tokyo).

Chair: Yoshikazu Giga (The University of Tokyo, Japan)

More information and how to attend this talk can be found at the seminar webpage .

Miranda
On behalf of Daniel H. and Ben

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Webinar Speaker

Qing Liu

Associate Professor @ Okinawa Institute of Science and Technology Graduate University, Japan

Qing Liu received his PhD at the University of Tokyo in 2011 under the supervision of Professor Yoshikazu Giga. He was a postdoctoral scholar at University of Pittsburgh from 2011 to 2015. He was appointed as an assistant professor at Fukuoka University in 2015 and joined OIST as an associate professor in 2022