Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constrained optimization in classes of analytic functions with
  prescribed pointwise values   We consider an overdetermined problem for Laplace equation on a disk with
partial boundary data where additional pointwise data inside the disk have to
be taken into account. After reformulation, this ill-posed problem reduces to a
bounded extremal problem of best norm-constrained approximation of partial L2
boundary data by traces of holomorphic functions which satisfy given pointwise
interpolation conditions. The problem of best norm-constrained approximation of
a given L2 function on a subset of the circle by the trace of a H2 function has
been considered in [Baratchart \& Leblond, 1998]. In the present work, we
extend such a formulation to the case where the additional interpolation
conditions are imposed. We also obtain some new results that can be applied to
the original problem: we carry out stability analysis and propose a novel
method of evaluation of the approximation and blow-up rates of the solution in
terms of a Lagrange parameter leading to a highly-efficient computational
algorithm for solving the problem.

19
The categories of this paper are: eess
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas