一类抛物方程爆破时间下界的确定方法与有效性分析

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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