Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shape derivatives of boundary integral operators in electromagnetic
  scattering. Part I: Shape differentiability of pseudo-homogeneous boundary
  integral operators   In this paper we study the shape differentiability properties of a class of
boundary integral operators and of potentials with weakly singular
pseudo-homogeneous kernels acting between classical Sobolev spaces, with
respect to smooth deformations of the boundary. We prove that the boundary
integral operators are infinitely differentiable without loss of regularity.
The potential operators are infinitely shape differentiable away from the
boundary, whereas their derivatives lose regularity near the boundary. We study
the shape differentiability of surface differential operators. The shape
differentiability properties of the usual strongly singular or hypersingular
boundary integral operators of interest in acoustic, elastodynamic or
electromagnetic potential theory can then be established by expressing them in
terms of integral operators with weakly singular kernels and of surface
differential operators.

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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org