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Publication Cover
Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 12
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Original Articles

Blow-up in a class of non-linear parabolic problems with time-dependent coefficients under Robin type boundary conditions

L.E. Payne Department of Mathematics, Cornell University, Ithaca, NY, USA
&
G.A. Philippin Département de Mathématiques et de Statistique, Université Laval, Québec, Canada G1K 7P4Correspondence[email protected]
Pages 2245-2256 | Received 09 Jun 2011, Accepted 14 Jun 2011, Published online: 14 Jul 2011

Citations (20)

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Wei Kou & Juntang Ding. (2021) Blow-up phenomena for p-Laplacian parabolic equations under nonlocal boundary conditions. Applicable Analysis 100:16, pages 3350-3365.
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Yuxiang Wang, Zhong Bo Fang & Su-Cheol Yi. (2019) Lower bounds for blow-up time in nonlocal parabolic problem under Robin boundary conditions. Applicable Analysis 98:8, pages 1403-1414.
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Articles from other publishers (18)

Su-Cheol Yi & Zhong Bo Fang. (2023) Blow-up Phenomena for a Reaction-diffusion Equation with Nonlocal Gradient Terms. Taiwanese Journal of Mathematics 27:4.
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美丹 王. (2023) Blow-Up Analysis of Divergent Reaction Diffusion Equations with Weighted Functions. Advances in Applied Mathematics 12:10, pages 4264-4272.
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Chenyu Dong & Juntang Ding. (2021) Blow-up results of the positive solution for a class of degenerate parabolic equations. Open Mathematics 19:1, pages 773-781.
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Shuai Zheng & Fushan Li. (2021) Dynamic Properties of the p-Laplacian Reaction–Diffusion Equation in Multi-dimensional Space. Qualitative Theory of Dynamical Systems 20:2.
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Soon‐Yeong Chung & Jaeho Hwang. (2020) Blow‐up solutions to nonlinear parabolic equations with non‐autonomous reactions under the mixed boundary conditions. Mathematical Methods in the Applied Sciences.
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Jianzhong Zhang & Fushan Li. (2019) Global existence and blow-up phenomena for divergence form parabolic equation with time-dependent coefficient in multidimensional space. Zeitschrift für angewandte Mathematik und Physik 70:5.
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Juntang Ding & Wei Kou. (2019) Blow-up solutions for reaction diffusion equations with nonlocal boundary conditions. Journal of Mathematical Analysis and Applications 470:1, pages 1-15.
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Eylem Öztürk. (2018) Asymptotic Behavior of the Non-Autonomous Reaction-Diffusion Equation with Robin Boundary Condition. Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 68:1, pages 422-440.
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Juntang Ding & Xuhui Shen. (2018) Blow-up analysis for a class of nonlinear reaction diffusion equations with Robin boundary conditions. Mathematical Methods in the Applied Sciences 41:4, pages 1683-1696.
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Juan Chen, Bo Zhuang, YangQuan Chen & Baotong Cui. (2017) Backstepping‐based boundary feedback control for a fractional reaction diffusion system with mixed or Robin boundary conditions. IET Control Theory & Applications 11:17, pages 2964-2976.
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Zhiqing Liu & Zhong Bo Fang. (2016) Blow-up phenomena for a nonlocal quasilinear parabolic equation with time-dependent coefficients under nonlinear boundary flux. Discrete and Continuous Dynamical Systems - Series B 21:10, pages 3619-3635.
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Juntang Ding & Xuhui Shen. (2016) Blow-up in p-Laplacian heat equations with nonlinear boundary conditions. Zeitschrift für angewandte Mathematik und Physik 67:5.
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E. Öztürk & K. Kallı. (2016) Existence and Nonexistence of Solutions of the Reaction-Diffusion Equation with Robin Boundary Condition. Ukrainian Mathematical Journal 68:3, pages 475-484.
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Jamila Kalantarova & Mustafa Polat. 2016. Computational Analysis. Computational Analysis 211 224 .
Zhong Bo Fang & Yuxiang Wang. (2015) Blow-up analysis for a semilinear parabolic equation with time-dependent coefficients under nonlinear boundary flux. Zeitschrift für angewandte Mathematik und Physik 66:5, pages 2525-2541.
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Monica Marras & Stella Vernier Piro. (2014) Reaction-diffusion problems under non-local boundary conditions with blow-up solutions. Journal of Inequalities and Applications 2014:1.
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Eylem Öztürk & Kamal N. Soltanov. (2014) Solvability and long time behavior of nonlinear reaction–diffusion equations with Robin boundary condition. Nonlinear Analysis: Theory, Methods & Applications 108, pages 1-13.
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Jin Li. (2014) Blow-up in the Parabolic Problems under Nonlinear Boundary Conditions. Journal of Networks 9:3.
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