Aim of this paper is to show that it makes sense to write the continuity equation on a metric measure space (X,d,m) and that absolutely continuous curves (\mu_t) w.r.t. the distance W_2 can be completely characterized as solutions of the continuity equation itself, provided we impose the condition μ_t ≤ Cm for every t and some C > 0.

The continuity equation on metric measure spaces

Gigli, Nicola;
2015-01-01

Abstract

Aim of this paper is to show that it makes sense to write the continuity equation on a metric measure space (X,d,m) and that absolutely continuous curves (\mu_t) w.r.t. the distance W_2 can be completely characterized as solutions of the continuity equation itself, provided we impose the condition μ_t ≤ Cm for every t and some C > 0.
2015
53
1-2
149
177
https://arxiv.org/abs/1406.6350
Gigli, Nicola; Han, B. X.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/17006
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