Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sufficient conditions of local solvability for partial differential
  operators in the Colombeau context   We provide sufficient conditions of local solvability for partial
differential operators with variable Colombeau coefficients. We mainly
concentrate on operators which admit a right generalized pseudodifferential
parametrix and on operators which are a bounded perturbation of a differential
operator with constant Colombeau coefficients. The local solutions are intended
in the Colombeau algebra $\G(\Om)$ as well as in the dual
$\LL(\Gc(\Om),\wt{\C})$.

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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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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: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg