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arXiv · 2007.00459

Fractional high order thin film equation: gradient flow approach

Stefano Lisini
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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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Stefano Lisini. 2020-06-30. Fractional high order thin film equation: gradient flow approach. https://arxiv.org/abs/2007.00459

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