一类抛物方程爆破时间下界的确定方法与有效性分析

覃思乾,凌征球,周泽文

Some Methods for Determining the Lower Bound of Blow-up Time in a Parabolic Problem and Effectiveness Analysis

Siqian Qin,Zhengqiu Ling,Zewen Zhou

表 3.1

共同数据 定理2.1 定理2.2 $\varphi(0)$ $\sigma_2$ $\sigma_1$ $\varepsilon_1=\varepsilon_2$ $K_1$ $K_2$ $K_3$ $T_1$ $\varepsilon_2$ $K_4$ $K_5$ $K_6$ $K_7$ $T_2$ $k=8$ 110.92 8.73 1.45 0.4396 7.82 11.60 34.14 0.004772 0.2694 0.88 0.51 18.90 241.60 0.000699 $k=9$ 187.44 8.81 1.47 0.4419 9.72 11.71 33.94 0.003731 0.2698 0.89 2.27 19.18 244.29 0.000534 $k=10$ 322.34 8.87 1.48 0.4438 11.65 11.80 33.73 0.002882 0.2700 0.90 4.08 19.40 246.42 0.000405 $k=11 $ 562.36 8.93 1.49 0.4454 13.58 11.87 33.58 0.002204 0.2701 0.91 5.91 19.58 248.60 0.000305