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

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.