Valeria Banica

Sorbonne Université

Microlocal analysis of singular measures

In this talk I shall present a study of scalar and vectorial measures from a microlocal point of view, by introducing a notion of \(L^1\)-regularity wave front set. I shall give several results including a full \(L^1\)-elliptic regularity result, and properties of the singular part of measures constrained by PDEs. This is a joint work with Nicolas Burq.