Ultimately uniform boundedness of solutions and gradients for degenerate parabolic systems

被引：7
|
作者：
Dung, L [1 ]
机构：
[1] Georgia Inst Technol, Ctr Dynam Syst & Nonlinear Studies, Atlanta, GA 30332 USA
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2000年 / 39卷 / 02期
关键词：
p-Laplacian; parabolic systems; dissipativity; uniform estimates;
D O I：
10.1016/S0362-546X(98)00172-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Solutions for degenerate parabolic systems are derived. To get rid of the dependence on initial conditions in the estimates, a location analysis in time is used to obtain a better recursive relation and therefore prove the derived equations. Furthermore, the results are extended for scalar equations to systems of parabolic equations.
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页码：157 / 171
页数：15
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