Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of a Full Discretization for a Second-Order Nonlinear
  Elastodynamic Equation in Isotropic and Anisotropic Orlicz Spaces   In this paper, we study a second-order, nonlinear evolution equation with
damping arising in elastodynamics. The nonlinear term is monotone and possesses
a convex potential but exhibits anisotropic and nonpolynomial growth. The
appropriate setting for such equations is that of monotone operators in Orlicz
spaces. Global existence of solutions in the sense of distributions is shown
via convergence of the backward Euler scheme combined with an internal
approximation. Moreover, we show uniqueness in a class of sufficiently smooth
solutions and provide an a priori error estimate for the temporal
semidiscretization.

15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph