Propagation of low regularity for solutions of nonlinear PDEs on a Riemannian manifold with a sub-Laplacian structure

Bernicot, Frédéric ; Sire, Yannick

Annales de l'I.H.P. Analyse non linéaire, Tome 30 (2013), p. 935-958 / Harvested from Numdam

Résumé

Following Bernicot (2012) [7], we introduce a notion of paraproducts associated to a semigroup. We do not use Fourier transform arguments and the background manifold is doubling, endowed with a sub-Laplacian structure. Our main result is a paralinearization theorem in a non-Euclidean framework, with an application to the propagation of regularity for some nonlinear PDEs.

Détail

Publié le : 2013-01-01

Zbl 06295447

DOI : https://doi.org/10.1016/j.anihpc.2012.12.005
Classification:  35S05,  58J47

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