摘要
在区域中研究了初值或者甚至是一Ｒａｄｏｎ测度时，具有对流与强非线性源的渗流方程的Ｃａｌｌｃｈｙ问题，得到了其非负广义解的局部存在性，非平凡整体解存在与否的条件以及弱解的唯一性．
in this paper we study the Cauchy problem for a class of filtration equations withconvectloon and Strongly nonlinear sourcesin some strip (0,T), when the initial datume Uo is merely a function in I. (R') or evena Radon nleasurc u We obtained the existence of local solution of non-nekrative generalized solutionand some sufficient conditions of tile existence and nonexistencc of non-trivial global solution, andwe also derive foe uniqueness of weak solutions.
出处
《纺织高校基础科学学报》
CAS
1996年第4期326-335,340,共11页
Basic Sciences Journal of Textile Universities
基金
国家自然科学基金
关键词
非线性
CAUCHY问题
多孔介质方程
nonlinear, filtration equations, touchy problem, positive solutions, global solution, existencc and uniqueness
