Abstract
In this paper we deal with the initial boundary value problem for two classes of reaction diffusion systems with two source terms in bounded domain. Under some assumptions on the exponents and the initial data, applying the comparison principle, the maximum principle and the supersolution-subsolution method, we prove the global existence and blow up of solutions. We also establish some upper blow up rates.
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This work was supported by the National Natural Science Foundation of China (11471087), the China Postdoctoral Science Foundation (2013M540270), the Heilongjiang Postdoctoral Foundation (LBH-Z13056, LBHZ15036), the Fundamental Research Funds for the Central Universities.
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Xu, Rz., Wang, Xc., Chen, Sh. et al. Global existence and blow up of solutions for two classes of reaction diffusion systems with two nonlinear source terms in bounded domain. Appl. Math. J. Chin. Univ. 31, 389–408 (2016). https://doi.org/10.1007/s11766-016-3136-2
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DOI: https://doi.org/10.1007/s11766-016-3136-2