Propagation of low regularity for solutions of nonlinear PDEs on a Riemannian manifold with a sub-Laplacian structure
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Publication:6228112
DOI10.1016/J.ANIHPC.2012.12.005arXiv1110.0338WikidataQ115360622 ScholiaQ115360622MaRDI QIDQ6228112
Yannick Sire, Frédéric Bernicot
Publication date: 3 October 2011
Abstract: 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.
Smoothness and regularity of solutions to PDEs (35B65) Pseudodifferential operators as generalizations of partial differential operators (35S05) Propagation of singularities; initial value problems on manifolds (58J47) Subelliptic equations (35H20)
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