Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On truncated spectral regularization for an ill-posed evolution equation   In this note we consider the {\it spectral truncation} as the regularization
for an ill-posed non-homogeneous parabolic final value problem, and obtain
error estimates under a genral source condition when the data, which consist of
the non-homogeneous term as well as the final value, are noisy. The resulting
error estimate is compared with the corresponding estimate under the
Lavrentieve method, and showed that the truncation method has no index of
saturation.

15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an