【摘要】 研究了一类奇异的非 Newton多方渗流方程整体解存在性和渐进性 .通过引进低能量函数的概念 ,证明了当初值 u0 (x)具有低能量时 ,其相应的解是整体存在的 ,且当 t→∞时具有指数增长 .更多还原

【Abstract】 In this paper we consider the existence and asymptotic property of global solutions for Non Newton Filtration equation with singular potential. We introduce the concept of lower energy function, and the solution exists globally when the initial value u 0 possess the lower energy. Moreover, it has the exponent growth as t→∞.更多还原