Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-linear non-local Cosmology   Non-local equations of motion contain an infinite number of derivatives and
commonly appear in a number of string theory models. We review how these
equations can be rewritten in the form of a diffusion-like equation with
non-linear boundary conditions. Moreover, we show that this equation can be
solved as an initial value problem once a set of non-trivial initial conditions
that satisfy the boundary conditions is found. We find these initial conditions
by looking at the linear approximation to the boundary conditions. We then
numerically solve the diffusion-like equation, and hence the non-local
equations, as an initial value problem for the full non-linear potential and
subsequently identify the cases when inflation is attained.

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The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn