Abstract for the talk on 18.02.2022 (14:00 h)

Arbeitsgemeinschaft ANGEWANDTE ANALYSIS

Gael Diebou Yomgne (Universität Bonn)
Nonlinear elliptic PDEs subject to irregular data

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.


20.02.2022, 00:10