Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal a priori error estimates of parabolic optimal control problems
  with a moving point control   In this paper we consider a parabolic optimal control problem with a Dirac
type control with moving point source in two space dimensions. We discretize
the problem with piecewise constant functions in time and continuous piecewise
linear finite elements in space. For this discretization we show optimal order
of convergence with respect to the time and the space discretization parameters
modulo some logarithmic terms. Error analysis for the same problem was carried
out in the recent paper [17], however, the analysis there contains a serious
flaw. One of the main goals of this paper is to provide the correct proof. The
main ingredients of our analysis are the global and local error estimates on a
curve, that have an independent interest.

17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat