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Communications in Partial Differential Equations Volume 20, 1995 - Issue 11-12
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Original Articles

Blow-up vs. global existence for a semilinear reaction-diffusion system in a bounded domain

Julio D. Rossi
&
Noemi Wolanski
Pages 1991-2004 | Published online: 18 Nov 2011

Citations (17)

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Li Yan, Xiaojun Song & Chunlai Mu. (2015) Global existence and blow-up for weakly coupled degenerate and singular parabolic equations with nonlocal source. Applicable Analysis 94:8, pages 1624-1648.
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Articles from other publishers (16)

Baoling Yang, Deli Zhang & Sihua Liang. (2023) On critical double phase Choquard problems with singular nonlinearity. Communications in Nonlinear Science and Numerical Simulation 125, pages 107420.
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Zhengce Zhang & Yaodan Huang. (2018) Single blowup point for a semilinear reaction‐diffusion system. Mathematische Nachrichten 291:17-18, pages 2709-2722.
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Run-zhang Xu, Xing-chang Wang, Shao-hua Chen, Yu Liu & Yan-bing Yang. (2016) Global existence and blow up of solutions for two classes of reaction diffusion systems with two nonlinear source terms in bounded domain. Applied Mathematics-A Journal of Chinese Universities 31:4, pages 389-408.
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Jun Zhou. (2013) Global Existence and Blowup for a Reaction-Diffusion System with Nonlocal Boundary Condition. ISRN Mathematical Analysis 2013, pages 1-9.
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Tor A. Kwembe & Zhenbu Zhang. (2012) A semilinear parabolic system with generalized Wentzell boundary condition. Nonlinear Analysis: Theory, Methods & Applications 75:6, pages 3078-3091.
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Si Xu & Zifen Song. (2011) Critical parameter equations for degenerate parabolic equations coupled via nonlinear boundary flux. Boundary Value Problems 2011:1.
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Youdong Zeng & Zhiqiang Lin. (2011) Global existence and finite time blow-up for a degenerate reaction-diffusion system with non-local sources. Global existence and finite time blow-up for a degenerate reaction-diffusion system with non-local sources.
Jun Zhou & Chunlai Mu. (2008) Uniform blow-up profiles and boundary layer for a parabolic system with localized sources. Nonlinear Analysis: Theory, Methods & Applications 69:1, pages 24-34.
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Youpeng Chen. (2007) Global blow-up for a heat system with localized sources and absorptions. Applied Mathematics-A Journal of Chinese Universities 22:2, pages 213-225.
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Chunlai Mu, Xuegang Hu, Yuhuan Li & Zejian Cui. (2007) Blow-up and global existence for a coupled system of degenerate parabolic equations in a bounded domain. Acta Mathematica Scientia 27:1, pages 92-106.
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Lili Du, Chunlai Mu & Mingshu Fan. (2005) Global existence and non-existence for a quasilinear degenerate parabolic system with non-local source. Dynamical Systems: An International Journal 20:4, pages 401-412.
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Weibing Deng. (2005) Global existence and finite time blow up for a degenerate reaction–diffusion system. Nonlinear Analysis: Theory, Methods & Applications 60:5, pages 977-991.
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Youpeng Chen. (2004) Blow-up for a system ofheat equations with nonlocal sources and absorptions. Computers & Mathematics with Applications 48:3-4, pages 361-372.
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Weibing Deng, Yuxiang Li & Chunhong Xie. (2003) Blow-up and global existence for a nonlocal degenerate parabolic system. Journal of Mathematical Analysis and Applications 277:1, pages 199-217.
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Chunlai Mu & Ying Su. (2001) Global existence and blow-up for a quasilinear degenerate parabolic system in a cylinder. Applied Mathematics Letters 14:6, pages 715-723.
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Jian Zhang. (1999) Boundedness and blow-up behavior for reaction–diffusion systems in a bounded domain. Nonlinear Analysis: Theory, Methods & Applications 35:7, pages 833-844.
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