Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singular perturbation for abstract elliptic equations and application   Boundary value problem for complete second order elliptic equation is
considered in Banach space. The equation and boundary conditions involve a
small and spectral parameter. The uniform L_{p}-regularity properties with
respect to space variable and parameters are established. Here, the explicit
formula for the solution is given and behavior of solution is derived when the
small parameter approaches zero. It used to obtain singular perturbation result
for abstract elliptic equation

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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio