Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the regularization of solution of an inverse ultraparabolic equation
  associated with perturbed final data   In this paper, we study the inverse problem for a class of abstract
ultraparabolic equations which is well-known to be ill-posed. We employ some
elementary results of semi-group theory to present the formula of solution,
then show the instability cause. Since the solution exhibits unstable
dependence on the given data functions, we propose a new regularization method
to stabilize the solution. then obtain the error estimate. A numerical example
shows that the method is efficient and feasible. This work slightly extends to
the earlier results in Zouyed et al. \cite{key-9} (2014).

16
The categories of this paper are: stat
18
The categories of this paper are: econ
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys