Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit eigenvalue bounds of differential operators defined by
  symmetric positive semi-definite bilinear forms   Recently, the eigenvalue problems formulated with symmetric positive definite
bilinear forms have been well investigated with the aim of explicit bounds for
the eigenvalues. In this paper, the existing theorems for bounding eigenvalues
are further extended to deal with the case of eigenvalue problems defined by
positive semi-definite bilinear forms. As an application, the eigenvalue
estimation theorems are applied to the error constant estimation for polynomial
projections.

16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex