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
2012-01-01
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.File in questo prodotto:
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