Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interior Sobolev regularity for fully nonlinear parabolic equations   In the present paper, we establish sharp Sobolev estimates for solutions of
fully nonlinear parabolic equations, under minimal, asymptotic, assumptions on
the governing operator. In particular, we prove that solutions are in
$W^{2,1;p}_{loc}$. Our argument unfolds by importing improved regularity from a
limiting configuration. In this concrete case, we recur to the recession
function associated with $F$. This machinery allows us to impose conditions
solely on the original operator at the infinity of $\mathcal{S}(d)$. From a
heuristic viewpoint, integral regularity would be set by the behavior of $F$ at
the ends of that space. Moreover, we explore a number of consequences of our
findings, and develop some related results; these include a parabolic version
of Escauriaza's exponent, a universal modulus of continuity for the solutions
and estimates in $p-BMO$ spaces.

17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat