Bogovskii-type operators for underdetermined PDE systems

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Event details

Date 28.11.2025
Hour 14:15
Speaker Prof. Zhongkai Tao
Location
Category Conferences - Seminars
Event Language English

Motivated by the Einstein constraint equation in general relativity, I will talk about a way to construct solution operators to underdetermined PDE systems, generalizing the Bogovskii operator in fluid mechanics. It has optimal regularizing properties and has the advantage of being able to control the propagation of support. This leads to some interesting applications on the flexibility of initial data for the Einstein equations. This is based on joint work with Philip Isett, Yuchen Mao, and Sung-Jin Oh.

Practical information

  • General public
  • Free

Organizer

  • Prof. Georgios Moschidis

Contact

  • Prof. Georgios Moschidis

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