Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering problems for symmetric systems with dissipative boundary
  conditions   We study symmetric systems with dissipative boundary conditions. The
solutions of the mixed problems for such systems are given by a contraction
semigroup $V(t)f = e^{tG_b}f, t \geq 0$. The solutions $u(t, x) = V(t)f$, where
$f$ is an eigenfunction of the generator $G_b$ with eigenvalue $\lambda,\Re
\lambda < 0,$ are called asymptotically disappearing (ADS). We prove that the
wave operators are not complete if there exist (ADS). This is the case for
Maxwell system with special boundary conditions in the exterior of the sphere.
We obtain a representation of the scattering kernel and we examine the inverse
back-scattering problem related to the leading term of the scattering kernel.

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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex