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.

引用

页码：1269 / 1282

页数：14

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