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

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

2011-10-03

arxiv.org/abs/1110.0338v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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