On the structure of measures constrained by linear PDEs
Guido De Philippis, Filip Rindler
TL;DR
This paper explores the structure of measures constrained by linear PDEs, focusing on the singular parts and their implications for related applications.
Contribution
It presents recent results on the structure of singular measures under linear PDE constraints and discusses their applications.
Findings
Characterization of the singular part of PDE-constrained measures
Insights into measure decomposition under PDE constraints
Applications to related mathematical problems
Abstract
The aim of this note is to present some recent results on the structure of the singular part of measures satisfying a PDE constraint and to describe some applications.
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