Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and uniqueness of solutions of a class of 3rd order
  dissipative problems with various boundary conditions describing the
  Josephson effect   We prove existence and uniqueness of solutions of a large class of
initial-boundary-value problems characterized by a quasi-linear third order
equation (the third order term being dissipative) on a finite space interval
with Dirichlet, Neumann or pseudoperiodic boundary conditions. The class
includes equations arising in superconductor theory, such as a well-known
modified sine-Gordon equation describing the Josephson effect, and in the
theory of viscoelastic materials.

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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol