Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Schr\"odinger operators and unique continuation. Towards an optimal
  result   In this article we prove the property of unique continuation (also known for
C^\infty functions as quasianalyticity) for solutions of the differential
inequality |\Delta u| \leq |Vu| for V from a wide class of potentials
(including L^{d/2,\infty}_{\loc}(R^d) class) and u in a space of solutions Y_V
containing all eigenfunctions of the corresponding self-adjoint Schr\"odinger
operator.
  Motivating question: is it true that for potentials V, for which self-adjoint
Schr\"odinger operator is well defined, the property of unique continuation
holds?

1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
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The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics