THE STRUCTURE OF THE FREE BOUNDARY FOR LOWER DIMENSIONAL OBSTACLE PROBLEMS

被引：95
作者：
Athanasopoulos, I.
Caffarelli, L. A.
Salsa, S.
机构：
[1] University of Crete, Department of Applied Mathematics, 409 Herakleion, Crete, Knossos Avenue
[2] Institute of Applied and Computational Mathematics, FORTH, 71110 Herakleion, Crete
[3] Department of Mathematics, University of Texas at Austin, Austin
[4] Dipartimento di Matematica, Politecnico di Milano, 20133 Milano, Piazza Leonardo Da Vinci
来源：
AMERICAN JOURNAL OF MATHEMATICS | 2008年 / 130卷 / 02期
关键词：
D O I：
10.1353/ajm.2008.0016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the regularity of the "free surface" in boundary obstacle problems. We show that near a non-degenerate point the free boundary is a C-1,C-alpha (n-2)-dimensional surface in Rn-1.
引用
收藏
页码：485 / 498
页数：14
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