Pseudo-differential Operators and the Nash-Moser Theorem

By S. Alinhac, Patrick Gérard, Stephen Wilson. 2007

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Paralinearization of the Muskat Equation and Application to the Cauchy Problem (2019, background): “The classical proof (see [3, 4, 35]) of the composition rule consists in splitting F (u) as”
On Landau damping (2009, result): “We also got crucial inspiration from the books [9] and [10] by James Binney and Scott Tremaine; and [2] by Serge Alinhac and Patrick Gérard.”
Well-posedness of the Prandtl equation in Sobolev spaces (2012, unknown): “[1, 10, 13, 16, 17]) to study the nonlinear problem (1.”