非牛顿多方渗流方程解的有界性估计

Bound Estimates of the Solution to Non-Newton and Multi-oritation Seeping Equation

首先利用对数索伯列夫不等式,经过较为复杂的运算,构造了一个特殊的一阶常微分方程,然后利用一阶常微分方程解对初值的依赖性,对具有Lr初值的非牛顿多方渗流方程的齐边值问题给出了解的有界性估计.

In this article,a patricular linear differential equation of first order was constructed using logarithmic Sobolev inequality and by more complex operation,and then, bound estimates of the solution for non-Newton and multi-orientation seeping equation were obtained by using the dependence of the solution on the initial value of the linear differential equation of first order.