Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A convex penalty for switching control of partial differential equations   A convex penalty for promoting switching controls for partial differential
equations is introduced; such controls consist of an arbitrary number of
components of which at most one should be simultaneously active. Using a
Moreau-Yosida approximation, a family of approximating problems is obtained
that is amenable to solution by a semismooth Newton method. The efficiency of
this approach and the structure of the obtained controls are demonstrated by
numerical examples.

5
The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph