Propagation of low regularity for solutions of nonlinear PDEs on a Riemannian manifold with a sub-Laplacian structure |
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| Authors: | Frédéric Bernicot Yannick Sire |
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| Institution: | 1. CNRS, Université de Nantes, Laboratoire Jean Leray, 2, rue de la Houssinière, 44322 Nantes cedex 3, France;2. LATP-UMR7353-Université Aix-Marseille, 13397 Marseille, France |
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| Abstract: | 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. |
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| Keywords: | 35S05 58J47 |
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