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

DOI10.1016/j.anihpc.2012.12.005OpenAlexW2015551271WikidataQ115360622 ScholiaQ115360622MaRDI QIDQ2450601

Frédéric Bernicot, Yannick Sire

Publication date: 14 May 2014

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0338

zbMATH Keywords

Riemannian manifoldsub-Laplacian operatorparalinearization

Mathematics Subject Classification ID

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)

Related Items

Heat semigroup and singular PDEs. With an appendix by F. Bernicot and D. Frey, Algebra properties for Sobolev spaces -- applications to semilinear PDEs on manifolds, Trilinear embedding for divergence-form operators with complex coefficients, Pseudodifferential operators associated with a semigroup of operators, Sobolev algebras through heat kernel estimates, Well-posedness and scattering for the mass-energy NLS on \(\mathbb{R}^n\times\mathcal{M}^k\)

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