Absolutely minimizing Lipschitz extension with discontinuous boundary data

被引：5

作者：

Cao, F ^{[1
]}

机构：

[1] Ecole Normale Super Cachan, F-94235 Cachan, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1998年 / 327卷 / 06期

关键词：

D O I：

10.1016/S0764-4442(98)89164-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Aronsson's notion of absolutely minimizing Lipschitz extension, solution of the nonlinear equation D(2)u(Du, Du) = 0 in the viscosity sense, well defined in a bounded domain with continuous boundary condition, is extended to the case of a boundary condition having a finite number of jumps. This extension with discontinuous boundary data is relevant in image interpolation theory. (C) Academie des Sciences/Elsevier, Paris.

引用

页码：563 / 568

页数：6

共 6 条

[1] EXTENSION OF FUNCTIONS SATISFYING LIPSCHITZ CONDITIONS [J].