Nonlinear elliptic PDEs subject to irregular data

  • Gael Diebou Yomgne (Universität Bonn)
E1 05 (Leibniz-Saal)


In this talk, I will discuss a new approach to the solvability of semilinear elliptic problems (in bounded and unbounded domains) supplemented by data assuming low regularity. The method exploits the nature of the nonlinearity as well as other intrinsic properties of the equation to select suitable functional frameworks where solutions are sought for. In the process, we borrow tools from modern harmonic analysis and function spaces theory.

Two equations of interest will be mentioned: The weakly harmonic map problem and the stationary Navier-Stokes flow. I also plan to comment on the parabolic theory if time allows.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar

  • Mar 11, 2024 tba with Carlos Román Parra
  • Mar 15, 2024 tba with Esther Bou Dagher
  • Mar 27, 2024 tba with Christian Wagner
  • May 21, 2024 tba with Immanuel Zachhuber