global existence and blow-up of solutions for parabolic systems with nonlinear nonlocal boundary conditions

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ID: 199342
2013
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Ranked #218 of 219 articles by views in icsoft 2006 - 1st international conference on software and data technologies, proceedings

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Abstract
In this article we study a nonlinear parabolic system with nonlinear nonlocal boundary conditions. We prove the uniqueness of the solutions and establish the conditions for global solutions and non-global solutions. It is interesting to observe that the weight function for the nonlocal Dirichlet boundary conditions plays a crucial role in determining whether the solutions are global or blow up in finite time.
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sen2013electronicglobal Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
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Journal icsoft 2006 - 1st international conference on software and data technologies, proceedings
Year 2013
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