Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simultaneous identification of diffusion and absorption coefficients in
  a quasilinear elliptic problem   In this work we consider the identifiability of two coefficients $a(u)$ and
$c(x)$ in a quasilinear elliptic partial differential equation from observation
of the Dirichlet-to-Neumann map. We use a linearization procedure due to Isakov
[On uniqueness in inverse problems for semilinear parabolic equations. Archive
for Rational Mechanics and Analysis, 1993] and special singular solutions to
first determine $a(0)$ and $c(x)$ for $x \in \Omega$. Based on this partial
result, we are then able to determine $a(u)$ for $u \in \mathbb{R}$ by an
adjoint approach.

27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol