Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An adjoint control method for initial condition identification of the
  Abstract Cauchy problem   This paper develops and analyzes a generic method for reconstructing
solutions to the abstract Cauchy problem in a general Hilbert space, from noisy
measured data. The method is based on the relationship between a partial
differential equation and its adjoint equation with control. We demonsrate the
capability of the method through analysis and numerical experiments.

7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys