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Applicable Analysis
An International Journal
Volume 87, 2008 - Issue 6
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Original Articles

Blow-up in parabolic problems under Robin boundary conditions

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Pages 699-707 | Received 28 Apr 2008, Accepted 01 May 2008, Published online: 27 Jul 2010

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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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Kosuke Kita & Mitsuharu Ôtani. (2022) On a comparison theorem for parabolic equations with nonlinear boundary conditions. Advances in Nonlinear Analysis 11:1, pages 1165-1181.
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Baiping Ouyang, Yiwu Lin, Yan Liu & Zihan Cai. (2020) Lower bound for the blow-up time for a general nonlinear nonlocal porous medium equation under nonlinear boundary condition. Boundary Value Problems 2020:1.
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Baiping Ouyang, Wei Fan & Yiwu Lin. (2020) Lower Bound for the Blow-Up Time for the Nonlinear Reaction-Diffusion System in High Dimensions. Discrete Dynamics in Nature and Society 2020, pages 1-7.
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Tongxing Li, Nicola Pintus & Giuseppe Viglialoro. (2019) Properties of solutions to porous medium problems with different sources and boundary conditions. Zeitschrift für angewandte Mathematik und Physik 70:3.
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Stanislav Antontsev & Eylem Öztürk. (2019) Well-posedness and long time behavior for p-Laplacian equation with nonlinear boundary condition. Journal of Mathematical Analysis and Applications 472:2, pages 1604-1630.
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Rana D. Parshad, Guangming Yao & Wen Li. (2017) Another Mechanism to Control Invasive Species and Population Explosion: “Ecological” Damping Continued. Differential Equations and Dynamical Systems 27:1-3, pages 249-276.
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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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Juntang Ding & Xuhui Shen. (2018) Blow-up analysis in quasilinear reaction–diffusion problems with weighted nonlocal source. Computers & Mathematics with Applications 75:4, pages 1288-1301.
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Gusheng Tang. (2017) Blow-up phenomena for a parabolic system with gradient nonlinearity under nonlinear boundary conditions. Computers & Mathematics with Applications 74:3, pages 360-368.
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Wenhui Chen & Yan Liu. (2016) Lower bound for the blow-up time for some nonlinear parabolic equations. Boundary Value Problems 2016:1.
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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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Jingrui Cao & Lingling Zhang. (2016) Global and blow-up solutions for a class of nonlinear parabolic equations. Global and blow-up solutions for a class of nonlinear parabolic equations.
Jamila Kalantarova & Mustafa Polat. 2016. Computational Analysis. Computational Analysis 211 224 .
Gusheng Tang, Yuanfei Li & Xitao Yang. (2014) Lower bounds for the blow-up time of the nonlinear non-local reaction diffusion problems in R N ( N ≥ 3 ). Boundary Value Problems 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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Juntang Ding. (2014) Blow-Up Solutions and Global Existence for Quasilinear Parabolic Problems with Robin Boundary Conditions. Abstract and Applied Analysis 2014, pages 1-9.
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Juntang Ding. (2013) Global and blow-up solutions for nonlinear parabolic problems with a gradient term under Robin boundary conditions. Boundary Value Problems 2013:1.
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Yan Liu. (2013) Blow-up phenomena for the nonlinear nonlocal porous medium equation under Robin boundary condition. Computers & Mathematics with Applications 66:10, pages 2092-2095.
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Juntang Ding. (2013) Global and blow-up solutions for nonlinear parabolic equations with Robin boundary conditions. Computers & Mathematics with Applications 65:11, pages 1808-1822.
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Enzo Vitillaro & Alessio Fiscella. (2013) Local Hadamard well--posedness and blow--up for reaction--diffusion equations with non--linear dynamical boundary conditions. Discrete and Continuous Dynamical Systems 33:11/12, pages 5015-5047.
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Yan Liu, Shiguang Luo & Yunhua Ye. (2013) Blow-up phenomena for a parabolic problem with a gradient nonlinearity under nonlinear boundary conditions. Computers & Mathematics with Applications 65:8, pages 1194-1199.
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Yan Liu. (2013) Lower bounds for the blow-up time in a non-local reaction diffusion problem under nonlinear boundary conditions. Mathematical and Computer Modelling 57:3-4, pages 926-931.
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Cristian Enache. (2011) Blow-up phenomena for a class of quasilinear parabolic problems under Robin boundary condition. Applied Mathematics Letters 24:3, pages 288-292.
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