This paper concerns with properties of solutions of a nonlinear diffusion problem in non-divergence form. By constructing proper test functions, it is proved that solutions of the problem possess the property of local...This paper concerns with properties of solutions of a nonlinear diffusion problem in non-divergence form. By constructing proper test functions, it is proved that solutions of the problem possess the property of localization.展开更多
文摘研究了将自适应局部线性化方法应用于较强余震间隔时间的预测。首先对余震间隔时间数据进行预处理;再利用自适应局部线性化法找出合适的嵌入维数,并计算出待估计参数。最后用待估计参数预测余震间隔时间。对汶川地震发生后4.0级(含4.0级)以上的余震间隔时间数据进行了预测。实验结果表明,自适应局部线性化方法预测的余震间隔时间的平均均方根误差和平均绝对偏离明显低于标准局部线性化方法;自适应局部线性化方法预测的余震间隔时间绝对误差比标准局部线性化方法和最小二乘拟合方法的预测结果分别减少了7 d和20 d.
文摘This paper concerns with properties of solutions of a nonlinear diffusion problem in non-divergence form. By constructing proper test functions, it is proved that solutions of the problem possess the property of localization.
