On a fractional thin film equation

This paper deals with a nonlinear degenerate parabolic equation of order α between 2 and 4 which is a kind of fractional version of the Thin Film Equation. Actually, this one corresponds to the limit value α = 4 while the Porous Medium Equation is the limit α = 2. We prove existence of a nonnegative...

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Bibliographic Details
Main Authors: Segatti Antonio, Vázquez Juan Luis
Format: Article
Language:English
Published: De Gruyter 2020-03-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2020-0065