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Article Dans Une Revue Annales de l'Institut Henri Poincaré C, Analyse non linéaire Année : 2013

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

Frederic Bernicot
Yannick Sire
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Résumé

Following \cite{B2}, we introduce a notion of para-products associated to a semi-group. 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.

Dates et versions

hal-01338805 , version 1 (29-06-2016)

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Citer

Frederic Bernicot, Yannick Sire. Propagation of low regularity for solutions of nonlinear PDEs on a Riemannian manifold with a sub-Laplacian structure. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2013, 30 (5), pp.935--958. ⟨10.1016/j.anihpc.2012.12.005⟩. ⟨hal-01338805⟩
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