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Applicable Analysis
An International Journal
Volume 93, 2014 - Issue 8
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Articles

Blow-up for the ω-heat equation with Dirichlet boundary conditions and a reaction term on graphs

Qiao XinCollege of Mathematics and Statistics, Yili Normal University, Yining835000, P.R. China.Correspondence[email protected]
,
Lu XuCollege of Mathematics and Statistics, Yili Normal University, Yining835000, P.R. China.
&
Chunlai MuCollege of Mathematics and Statistics, Chongqing University, Chongqing401331, P.R. China.
Pages 1691-1701 | Received 28 Jun 2013, Accepted 04 Sep 2013, Published online: 07 Oct 2013

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Yafeng Li, Qiao Xin & Chunlai Mu. (2020) Quenching of the solution to the discrete heat equation with logarithmic type sources on graphs. Applicable Analysis 99:5, pages 761-771.
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Articles from other publishers (10)

Ruixue Chao & Songbo Hou. (2023) Multiple solutions for a generalized Chern-Simons equation on graphs. Journal of Mathematical Analysis and Applications 519:1, pages 126787.
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Liang Zhao & Chengcui Sun. (2021) Gradient estimates for Yamabe type equation on graphs. Rocky Mountain Journal of Mathematics 51:6.
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Xiao Li Han & Meng Qiu Shao. (2021) p-Laplacian Equations on Locally Finite Graphs. Acta Mathematica Sinica, English Series 37:11, pages 1645-1678.
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Yiting Wu. (2018) On-diagonal lower estimate of heat kernels for locally finite graphs and its application to the semilinear heat equations. Computers & Mathematics with Applications 76:4, pages 810-817.
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Ning Zhang & Liang Zhao. (2018) Convergence of ground state solutions for nonlinear Schrödinger equations on graphs. Science China Mathematics 61:8, pages 1481-1494.
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Yong LIN & Yiting WU. (2018) Blow-up problems for nonlinear parabolic equations on locally finite graphs. Acta Mathematica Scientia 38:3, pages 843-856.
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Soon-Yeong Chung & Min-Jun Choi. (2017) A new condition for blow-up solutions to discrete semilinear heat equations on networks. Computers & Mathematics with Applications 74:12, pages 2929-2939.
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Yong Lin & Yiting Wu. (2017) The existence and nonexistence of global solutions for a semilinear heat equation on graphs. Calculus of Variations and Partial Differential Equations 56:4.
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Wenjun Liu, Kewang Chen & Jun Yu. (2016) Extinction and asymptotic behavior of solutions for the ω-heat equation on graphs with source and interior absorption. Journal of Mathematical Analysis and Applications 435:1, pages 112-132.
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Soon-Yeong Chung. (2014) Critical Blow-Up and Global Existence for Discrete Nonlinear p -Laplacian Parabolic Equations . Discrete Dynamics in Nature and Society 2014, pages 1-10.
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