Positive solutions of the porous medium equation with hysteresis

被引:4
|
作者
Beliaev, A [1 ]
机构
[1] Free Univ Amsterdam, NL-1081 HV Amsterdam, Netherlands
关键词
D O I
10.1016/S0022-247X(02)00568-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The problem under consideration is a degenerate parabolic equation with hysteretic terms. We establish existence and uniqueness of solutions with given initial data and investigate their main properties. An example of explicit self-similar solution is presented. (C) 2003 Elsevier Science (USA). All rights reserved.
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页码:125 / 137
页数:13
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