A fairly strong stability result for parabolic quasiminimizers

被引：3
|
作者：
Fujishima, Yohei [1 ]
Habermann, Jens [2 ]
Masson, Mathias [3 ]
机构：
[1] Shizuoka Univ, Fac Engn, Johoku 3-5-1, Hamamatsu, Shizuoka 4328561, Japan
[2] Univ Erlangen Nurnberg, Dept Math, Cauerstr 11, D-91058 Erlangen, Germany
[3] Aalto Univ, Dept Math, POB 11100, FI-00076 Aalto, Finland
来源：
MATHEMATISCHE NACHRICHTEN | 2018年 / 291卷 / 8-9期
关键词：
parabolic equations; parabolic quasiminimizers; regularity; stability; DEGENERATE; EQUATIONS;
D O I：
10.1002/mana.201700018
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider parabolic Q-quasiminimizers related to the p-Laplace equation in Omega(T) : = Omega x (0, T). In particular, we focus on the stability problem with respect to the parameters p and Q. It is known that, if Q -> 1, then parabolic quasiminimizers with fixed initial-boundary data on Omega(T) converge to the parabolic minimizer strongly in L-p(0, T; W-1,W-p(Omega)) under suitable further structural assumptions. Our concern is whether or not we can obtain even stronger convergence. We will show a fairly strong stability result.
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页码：1269 / 1282
页数：14
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