Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundedness of the total energy of relativistic membranes evolving in a
  curved spacetime   We establish a global existence theory for the equation governing the
evolution of a relativistic membrane in a (possibly curved) Lorentzian
manifold, when the spacetime metric is a perturbation of the Minkowski metric.
Relying on the Hyperboloidal Foliation Method introduced by LeFloch and Ma in
2014, we revisit a theorem established earlier by Lindblad (who treated
membranes in the flat Minkowski spacetime) and we provide a simpler proof of
existence, which is also valid in a curved spacetime and, most importantly,
leads to the important property that the total energy of the membrane is
globally bounded in time.

35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci