I report on some recent extensions of the Lusin N-property and the Sard theorem for Sobolev maps, which have been obtained in a joint work with M. Csornyei, E. D'Aniello, and B. Kirchheim. Our research was originally motivated by questions related to the uniqueness of weak solutions for the continuity equation associated to a vector field with Sobolev regularity.

Generalized N-property and Sard theorem for Sobolev maps

ALBERTI, GIOVANNI
2012

Abstract

I report on some recent extensions of the Lusin N-property and the Sard theorem for Sobolev maps, which have been obtained in a joint work with M. Csornyei, E. D'Aniello, and B. Kirchheim. Our research was originally motivated by questions related to the uniqueness of weak solutions for the continuity equation associated to a vector field with Sobolev regularity.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/229932
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