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

2015/05/20 by Ambrosio, Luigi, Trevisan, Dario
#49J52 #Analysis of PDEs (math.AP) #FOS: Mathematics #Metric Geometry (math.MG) #Probability (math.PR)

paper · doi:10.48550/arxiv.1505.05292

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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