Global solutions and blow-up problems for a nonlinear degenerate parabolic system coupled via nonlocal sources

  • Lu H
  • Wang M
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Abstract

This paper concerns with a nonlinear degenerate parabolic system coupled via nonlocal sources, subjecting to homogeneous Dirichlet boundary condition. The main aim of this paper is to study conditions on the global existence and/or blow-up in finite time of solutions, and give the estimates of blow-up rates of blow-up solutions. © 2006 Elsevier Inc. All rights reserved.

Author-supplied keywords

  • Blow-up in finite time
  • Blow-up rates
  • Degenerate parabolic system
  • Global existence
  • Nonlocal sources

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