Besov regularity and new error estimates for finite volume approximations of the p-laplacian

被引：0
|
作者：
Boris Andreianov
Franck Boyer
Florence Hubert
机构：
[1] Université de Franche-Comté,Département de Mathématiques
[2] Topologie et Probabilités,Laboratoire d’Analyse
来源：
Numerische Mathematik | 2005年 / 100卷
关键词：
35J65; 65N15; 74S10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In [1], we have constructed a family of finite volume schemes on rectangular meshes for the p-laplacian and we proved error estimates in case the exact solution lies in W2,p. Actually, W2,p is not a natural space for solutions of the p-laplacian in the case p>2. Indeed, for general Lp’ data it can be shown that the solution only belongs to the Besov space [inline-graphic not available: see fulltext]
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页码：565 / 592
页数：27
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