Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vanishing contact structure problem and convergence of the viscosity
  solutions   This paper is devoted to study the vanishing contact structure problem which
is a generalization of the vanishing discount problem. Let $H^\lambda(x,p,u)$
be a family of Hamiltonians of contact type with parameter $\lambda>0$ and
converges to $G(x,p)$. For the contact type Hamilton-Jacobi equation with
respect to $H^\lambda$, we prove that, under mild assumptions, the associated
viscosity solution $u^{\lambda}$ converges to a specific viscosity solution
$u^0$ of the vanished contact equation. As applications, we give some
convergence results for the nonlinear vanishing discount problem.

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The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph