Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized solutions for the Euler-Bernoulli model with Zener
  viscoelastic foundations and distributional forces   We study the initial-boundary value problem for an Euler-Bernoulli beam model
with discontinuous bending stiffness laying on a viscoelastic foundation and
subjected to an axial force and an external load both of Dirac-type. The
corresponding model equation is fourth order partial differential equation and
involves discontinuous and distributional coefficients as well as a
distributional right-hand side. Moreover the viscoelastic foundation is of
Zener type and described by a fractional differential equation with respect to
time. We show how functional analytic methods for abstract variational problems
can be applied in combination with regularization techniques to prove existence
and uniqueness of generalized solutions.

18
The categories of this paper are: econ
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas