Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal scalar products in the Standard Linear Viscoelastic Model   We study the third order in time linear dissipative wave equation known as
the Standard Linear Viscoelastic Model, that appears also as the linearization
of the so-called Moore-Gibson-Thompson equation in Nonlinear Acoustics. We
complete the description in a paper by R. Marchand et al. (2012) of the
spectrum of the generator of the corresponding group of operators and show
that, apart from some exceptional values of the parameters, this generator can
be made to be a normal operator with a new scalar product, with a complete set
of orthogonal eigenfunctions. Using this property we also obtain sharper decay
estimates for the solutions as time tends to infinity, both when the operator
is normal or not.

30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci