Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parametrices and exact paralinearisation of semi-linear boundary
  problems   The subject is parametrices for semi-linear problems, based on parametrices
for linear boundary problems and on non-linearities that decompose into
solution-dependent linear operators acting on the solutions. Non-linearities of
product type are shown to admit this via exact paralinearisation. The
parametrices give regularity properties under weak conditions; improvements in
subdomains result from pseudo-locality of type $1,1$-operators. The framework
encompasses a broad class of boundary problems in H\"older and $L_p$-Sobolev
spaces (and also Besov and Lizorkin--Triebel spaces). The Besov analyses of
homogeneous distributions, tensor products and halfspace extensions have been
revised. Examples include the von Karman equation.

4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int