Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of solutions to nonlinear parabolic equations via majorant
  integral kernel   We establish the existence of solutions to the Cauchy problem for a large
class of nonlinear parabolic equations including fractional semilinear
parabolic equations, higher-order semilinear parabolic equations, and viscous
Hamilton-Jacobi equations by using the majorant kernel introduced in [K.
Ishige, T. Kawakami, and S. Okabe, Ann. Inst. H. Poincar\'e Anal. Non
Lin\'eaire 37 (2020), 1185--1209].

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The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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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: funct-an
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The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys