We prove existence and uniqueness for the transport equation for currents
(Geometric Transport Equation) when the driving vector field is time-dependent,
Lipschitz in space and merely integrable in time. This extends previous work
where well-posedness was shown in the case of a time-independent, Lipschitz
vector field. The proof relies on the decomposability bundle and requires to
extend some of its properties to the class of functions that in one direction
are only absolutely continuous, rather than Lipschitz.
Este artículo explora los viajes en el tiempo y sus implicaciones.
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2504.15974v1