The Cauchy problem for variable coefficient porous medium equations

被引:2
作者
Daskalopoulos, P
机构
[1] University of Minnesota, School of Mathematics, Minneapolis
关键词
weak solutions; existence; uniqueness; initial trace;
D O I
10.1023/A:1017967218024
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the class of non-negative continuous weak solutions of the Generalized Porous Medium equations partial derivative u/partial derivative t = Delta phi(x,t,u), (x,t) epsilon R-n x (0,T), where n greater than or equal to 1 and 0 < T less than or equal to infinity. We give a complete description of solutions in terms of existence, uniqueness, existence of initial trace and blow up.
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页码:485 / 516
页数:32
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