Vector-valued function spaces and their use in partial differential equations

Abstract: 

In this talk I will give an overview of some recent developments in the theory of vector-valued Sobolev spaces connected to PDE.

- Characterizations of temporal traces of intersection of function spaces

- Pointwise multiplier results in vector-valued Sobolev spaces

- New embedding results for weighted Sobolev spaces

The talk is based on joint work with Martin Meyries.