Mini-course on distributional Jacobian determinants (1/3)

by Prof. Heiner Olbermann (IRMP/MATH)

Thursday 21 Mar 2019, 14:30 → 15:30 Europe/Brussels

CYCL04 (21.3) (MdeHemptinne)

Abstract: Jacobian determinants are ubiquitous  in mathematical analysis, and there exist numerous applications for this object in varying contexts, ranging from nonlinear elasticity to geometric analysis.

In this mini-course, we will focus on the minimal requirements on regularity of the underlying function space in order to be able to define the Jacobian determinant as a distribution, and investigate some of its properties in spaces of low regularity, such as change-of-variables type formulas.