非牛顿多方渗流方程解的存在性  

Existence Theorems for Non-Newton and Multioritation Permeating Equation

作　　者：陈淑红[1] 

机构地区：[1]厦门大学数学科学学院,福建厦门361005

出　　处：《厦门大学学报（自然科学版）》2004年第3期293-297,共5页Journal of Xiamen University：Natural Science

摘　　要：讨论了非牛顿多方渗流方程ut=div(｜ um｜p-2 um)Cauchy问题在0<m≤1,p>1,u0∈C∞(RN)且允许u0有一定增长性时解的存在性.这个证明是通过上下解方法证明初边值问题解有界,进而得到为证明解序列有紧性所需要的估计.Flue existence of the solution to the Cauchy Problem for non-Newton and multioritation permeating equation u_t=div(｜u^m｜^(p-2)u^m) is considered,where 0<m≤1,p>1,the initial value u_0∈C~∞(R^N) and is given a certain increasing property. The solution to the initial boundary value problem are bounded is proved by methods of upper and lower solutions. Furthermore, the estimation which is essential to demonstrate the compactness of the sequence of the solutions is obtained.

关 键 词：非牛顿多方渗流方程 广义解 CAUCHY问题 初边值问题 YOUNG不等式 

分 类 号：O175.2[理学—数学]