Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Logarithmic singularities of solutions to nonlinear partial differential
  equations   We construct a family of singular solutions to some nonlinear partial
differential equations which have resonances in the sense of a paper due to T.
Kobayashi. The leading term of a solution in our family contains a logarithm,
possibly multiplied by a monomial. As an application, we study nonlinear wave
equations with quadratic nonlinearities. The proof is by the reduction to a
Fuchsian equation with singular coefficients.

28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas