On a fourth-order degenerate parabolic equation: Global entropy estimates, existence, and qualitative behavior of solutions

被引：0
|
作者：
Dal Passo, R
Garcke, H
Grun, G
机构：
[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
[2] Univ Bonn, Inst Angew Math, D-53115 Bonn, Germany
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1998年 / 29卷 / 02期
关键词：
fourth-order degenerate parabolic equations; existence; regularity; long-time behavior; thin films;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By means of energy and entropy estimates, we prove existence and positivity results in higher space dimensions for degenerate parabolic equations of fourth order with nonnegative initial values. We discuss their asymptotic behavior for t --> infinity and give a counterexample to uniqueness.
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页码：321 / 342
页数：22
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