带吸收项的渗流方程的柯西牛曼问题  

Cauchy-Neumann Problem of Equation of Filtration with Absorption

作　　者：雷英果[1] 

机构地区：[1]福州大学数学系

出　　处：《福州大学学报（自然科学版）》1989年第4期1-7,共7页Journal of Fuzhou University(Natural Science Edition)

摘　　要：本文在半无界域中考察带吸收项的渗流方程的柯西牛曼问题．主要结果为：（１）证明该问题弱解的存在唯一性，（２）证明边值条件不影响初始扰动传播的有限性．We consider herein the Cauchy-Neumann problem of the equation of filtration with absorption in half--space. The main results are: (1 ) To prove the existence and uniqueness of the weak solution for this problem, and (2) To prove that the boundary value does not affect the propagation of initial distur- bance.

关 键 词：渗流方程 弱解 扰动传播 柯西牛曼 

分 类 号：O175.24[理学—数学]