Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Backward uniqueness for general parabolic operators in the whole space   We prove the backward uniqueness for general parabolic operators of second
order in the whole space under assumptions that the leading coefficients of the
operator are Lipschitz and their gradients satisfy certain decay conditions.
This result extends in some ways a classical result of Lions and Malgrange [12]
and a recent result of the authors [10].

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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: stat