Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic behaviour of the doubly nonlinear equation $u_t=\Delta_p u^m$
  on bounded domains   We study the homogeneous Dirichlet problem for the doubly nonlinear equation
$u_t = \Delta_p u^m$, where $p>1,\ m>0$ posed in a bounded domain in
$\mathbb{R}^N$ with homogeneous boundary conditions and with non-negative and
integrable data. In this paper we consider the degenerate case $m(p-1)>1$ and
the quasilinear case $m(p-1)=1$. We establish the large-time behaviour by
proving the uniform convergence to a unique asymptotic profile and we also give
rates for this convergence.

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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: adap-org
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The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an