Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Elliptic differential-operator with an abstract Robin boundary condition
  containing two spectral parameters, study in a non commutative framework   We study the solvability of boundary-value problems for differential-operator
equations of the second order in L p (0, 1; X), with 1 < p < +$\infty$, X being
a UMD complex Banach space. The originality of this work lies in the fact that
we have considered the case when spectral complex parameters appear in the
equation and in the abstract Robin boundary condition illustrated by some
unbounded operator non commuting with the one used in the equation. Existence,
uniqueness, representation formula, maximal regularity of the solution, sharp
estimates and generation of strongly continuous analytic semigroup are proved.
Many concrete applications are given for which our theory applies. This work
gives news considerations with respect to all those studied by the authors in
[7] and is a continuation, in some sense, of the results in [1] studied in
Hilbertian spaces.

34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin