Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity of weak solutions to the model Venttsel problem for solutions
  of linear parabolic systems with nonsmooth in time principal matrix.
  $A(t)$-caloric method   We consider a model Venttsel type problem for linear parabolic systems of
equations. The Venttsel type boundary condition is fixed on the flat part of
the lateral surface of a given cylinder. It is defined by parabolic operator
(with respect to the tangential derivatives) and the conormal derivative. The
H\"{o}lder continuity of a weak solution of the problem is proved under optimal
assumptions on the data. In particular, only boundedness in the time variable
of the principal matrices of the system and the boundary operator is assumed.
All results are obtained by so-called A(t)-caloric method.

26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ