Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Viscosity solutions to parabolic complex Monge-Amp\`ere equations   In this paper, we study the Cauchy-Dirichlet problem for Parabolic complex
Monge-Amp\`ere equations on a strongly pseudoconvex domain by the viscosity
method. We extend the results in [EGZ15b] on the existence of solution and the
convergence at infinity. We also establish the H\"older regularity of the
solutions when the Cauchy-Dirichlet data are H\"older continuous.

35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
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The categories of this paper are: eess
12
The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys