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Blowup for degenerate and singular parabolic system with nonlocal source

Boundary Value Problems volume 2006, Article number: 21830 (2006) Cite this article

Abstract

We deal with the blowup properties of the solution to the degenerate and singular parabolic system with nonlocal source and homogeneous Dirichlet boundary conditions. The existence of a unique classical nonnegative solution is established and the sufficient conditions for the solution that exists globally or blows up in finite time are obtained. Furthermore, under certain conditions it is proved that the blowup set of the solution is the whole domain.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, 610064, China

    Jun Zhou, Chunlai Mu & Zhongping Li

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  1. Jun Zhou
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  2. Chunlai Mu
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  3. Zhongping Li
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Correspondence to Jun Zhou.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Zhou, J., Mu, C. & Li, Z. Blowup for degenerate and singular parabolic system with nonlocal source. Bound Value Probl 2006, 21830 (2006). https://doi.org/10.1155/BVP/2006/21830

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