Continuous dependence on the nonlinearities of solutions of degenerate parabolic equations

被引：69
|
作者：
Cockburn, B
Gripenberg, G
机构：
[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
[2] Helsinki Univ Technol, Inst Math, FIN-02015 Helsinki, Finland
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 1999年 / 151卷 / 02期
基金：
美国国家科学基金会;
关键词：
degenerate; parabolic; nonlinear; dependence on data;
D O I：
10.1006/jdeq.1998.3499
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Explicit estimates for the continuous dependence in L-infinity([0, T]; L-1(R-d)) of solutions of the equation partial derivative(l)upsilon = del . (Phi(upsilon)) + Delta(phi(upsilon)) (in (0, infinity) x R-d with initial condition upsilon(0, .) = h) with respect to the nonlinear continuously differential functions Phi and phi are established. (C) 1999 Academic Press.
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页码：231 / 251
页数：21
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