<div class="csl-bib-body">
<div class="csl-entry">Tasso, E., & Almi, S. (2025, January 28). <i>A general criterion for slicing the jump set of a function</i> [Conference Presentation]. Geometric Measure Theory 2025, Trient, Italy. http://hdl.handle.net/20.500.12708/213076</div>
</div>
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/213076
-
dc.description.abstract
In this talk a novel criterion for the slicing of the jump set of functions is presented, which overcomes the limitation of the classical approach based on a combination of codimension-one slices and the parallelogram law. This latter technique was originally developed for functions of bounded deformation and more recently adapted to the case of functions of bounded A-variation . Our method instead, builds upon a recent rectifiability result of integral geometric measures and extends to Riemannian manifolds, where slicing is conducted along geodesics. As a particular application, we derive the structure of the jump set of functions with (generalized) bounded deformation in a Riemannian setting. Furthermore, if time permits, I will show the critical role these structural results play in deriving certain non-local to local free-discontinuity problems.
en
dc.language.iso
en
-
dc.subject
Jump set
en
dc.subject
Rectifiability
en
dc.subject
Integral Geometric Measure
en
dc.subject
Bounded Deformation
en
dc.subject
Riemannian Manifold
en
dc.title
A general criterion for slicing the jump set of a function
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.contributor.affiliation
Department of Mathematics and Applications - University of Naples Federico II (Naples, IT)
