Calculus of Variations and Geometric Measure Theory

L. Ambrosio - A. Figalli

Almost everywhere well-posedness of continuity equations with measure initial data

created by ambrosio on 14 Oct 2009
modified by figalli on 06 Dec 2012


Accepted Paper

Inserted: 14 oct 2009
Last Updated: 6 dec 2012

Journal: C. R. Math. Acad. Sci. Paris
Year: 2010


The aim of the note is to present some new results concerning ``almost everywhere'' well-posedness and stability of continuity equations with measure initial data. The proofs of all such results can be found in \cite{amfifrgi}, together with some application to the semiclassical limit of the Schrödinger equation. }

Keywords: Schrodinger equation, Wigner transform, Liouville equation, Flows