Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Propagation of low regularity for solutions of nonlinear PDEs on a
  Riemannian manifold with a sub-Laplacian structure   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.

17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org