Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probabilistic Solution of the General Robin Boundary Value Problem on
  Arbitrary Domains   Using a capacity approach, and the theory of measure's perturbation of
Dirichlet forms, we give the probabilistic representation of the General Robin
boundary value problems on an arbitrary domain $\Omega$, involving smooth
measures, which give arise to a new process obtained by killing the general
reflecting Brownian motion at a random time. We obtain some properties of the
semigroup directly from its probabilistic representation, and some convergence
theorems, and also a probabilistic interpretation of the phenomena occurring on
the boundary.

12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph