Continuous dependence on the nonlinearities of solutions of degenerate parabolic equations

被引：70

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.

引用

页码：231 / 251

页数：21

共 11 条

[1]

[Anonymous], 1970, MATH USSR SB

[2] THE CONTINUOUS DEPENDENCE ON PHI OF SOLUTIONS OF UT-DELTA-PHI(U)=0 [J].