Fractional high order thin film equation: gradient flow approach

2020/06/30 by Lisini, Stefano
#35A01 #35B09 #35G25 #35K46 #35R11 #49K20 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2007.00459

Abstract

We prove existence of weak solutions of a fractional thin film type equation in any space dimension and for any order of the equation. The proof is based on a gradient flow technique in the space of Borel probability measures endowed with the Wasserstein distance.

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