Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximation of the Semigroup generated by the Robin Laplacian in terms
  of the Gaussian Semigroup   For smooth bounded open sets in euclidean space, we construct corresponding
contractive linear extension operators for the space of continuous functions
which preserve regularity of functions in the domain of the Robin Laplacian. We
also prove a Trotter-like approximation for the semigroup generated by the
Laplacian subject to Robin boundary conditions in terms of these extension
operators. The limiting case of Dirichlet boundary conditions is treated
separately.

5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol