TY - JOUR A2 - Luca, Rodica AU - Ouyang, Baiping AU - Fan, Wei AU - Lin, Yiwu PY - 2020 DA - 2020/06/05 TI - Lower Bound for the Blow-Up Time for the Nonlinear Reaction-Diffusion System in High Dimensions SP - 7480676 VL - 2020 AB - In this paper, we study the blow-up phenomenon for a nonlinear reaction-diffusion system with time-dependent coefficients under nonlinear boundary conditions. Using the technique of a first-order differential inequality and the Sobolev inequalities, we can get the energy expression which satisfies the differential inequality. The lower bound for the blow-up time could be obtained if blow-up does really occur in high dimensions. SN - 1026-0226 UR - https://doi.org/10.1155/2020/7480676 DO - 10.1155/2020/7480676 JF - Discrete Dynamics in Nature and Society PB - Hindawi KW - ER -