Lecture notes on the DiPerna-Lions theory in abstract measure spaces

Luigi Ambrosio; Dario Trevisan

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arXiv · 1505.05292

Lecture notes on the DiPerna-Lions theory in abstract measure spaces

Luigi Ambrosio·Dario Trevisan

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Abstract

These notes closely correspond to a series of lectures given by the first author in Toulouse, on the recent extension of the theory of ODE well-posedness to abstract spaces, jointly obtained by the two authors. In the last part, we describe some further developments with respect to the theory of (possibly degenerate) diffusion processes, in a similar setting, contained in the second author's PhD thesis.

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Luigi Ambrosio, Dario Trevisan. 2016-09-12. Lecture notes on the DiPerna-Lions theory in abstract measure spaces. https://arxiv.org/abs/1505.05292

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