Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Well-posedness for a modified bidomain model describing bioelectric
  activity in damaged heart tissues   We prove the existence and the uniqueness of a solution for a modified
bidomain model, describing the electrical behaviour of the cardiac tissue in
pathological situations. The leading idea is to reduce the problem to an
abstract parabolic setting, which requires to introduce several auxiliary
differential systems and a non-standard bilinear form. The main difficulties
are due to the degeneracy of the bidomain system and to its non-standard
coupling with a diffusion equation, accounting for the presence of the
pathological zone in the heart tissue.

28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph