Caloric functions in Lipschitz domains and the regularity of solutions to phase transition problems

被引：54
作者：
Athanasopoulos, I
Caffarelli, L
Salsa, S
机构：
[1] INST ADV STUDY, PRINCETON, NJ 08540 USA
[2] POLITECN MILAN, I-20133 MILAN, ITALY
来源：
ANNALS OF MATHEMATICS | 1996年 / 143卷 / 03期
关键词：
D O I：
10.2307/2118531
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
[No abstract available]
引用
收藏
页码：413 / 434
页数：22
相关论文
共 9 条
[1]   VARIATIONAL-PROBLEMS WITH 2 PHASES AND THEIR FREE BOUNDARIES [J].
ALT, HW ;
CAFFARELLI, LA ;
FRIEDMAN, A .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 282 (02) :431-461
[2]   A THEOREM OF REAL ANALYSIS AND ITS APPLICATION TO FREE-BOUNDARY PROBLEMS [J].
ATHANASOPOULOS, I ;
CAFFARELLI, LA .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1985, 38 (05) :499-502
[3]   BOUNDARY-BEHAVIOR OF NONNEGATIVE SOLUTIONS OF ELLIPTIC-OPERATORS IN DIVERGENCE FORM [J].
CAFFARELLI, L ;
FABES, E ;
MORTOLA, S ;
SALSA, S .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1981, 30 (04) :621-640
[4]  
CAFFARELLI L. A., 1987, Rev. Mat. Iberoamericana, V3, P139
[5]   A HARNACK INEQUALITY APPROACH TO THE REGULARITY OF FREE BOUNDARIES .2. FLAT FREE BOUNDARIES ARE LIPSCHITZ [J].
CAFFARELLI, LA .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1989, 42 (01) :55-78
[6]  
DAHLBERG BEJ, 1977, ARCH RATIONAL MECH A, V65, P272
[7]  
FABES EB, 1984, ATTI ACCAD NAZ LIN 8, V78, P1
[8]  
FRIEDMAN A, 1982, VARIATIONAL PROBLEMS
[9]  
KEMPER JT, 1972, TAMS, V167, P242
1