Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $L^\infty$-uniqueness of Schr\"odinger operators restricted in an open
  domain   Consider the Schr\"odinger operator ${\cal A}=-\frac{\Delta}{2}+V$ acting on
space $C_0^\infty(D)$, where $D$ is an open domain in $\R^d$. The main purpose
of this paper is to present the $L^\infty(D,dx)$-uniqueness for Schr\"odinger
operators which is equivalent to the $L^1(D,dx)$-uniqueness of weak solutions
of the heat diffusion equation associated to the operator $\cal A$.

5
The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th