SMOOTHNESS OF FREE BOUNDARY IN ONE PHASE STEFAN PROBLEM

被引:47
作者
KINDERLEHRER, D [1 ]
NIRENBERG, L [1 ]
机构
[1] NYU,COURANT INST MATH SCI,NEW YORK,NY 10012
关键词
D O I
10.1002/cpa.3160310302
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
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页码:257 / 282
页数:26
相关论文
共 20 条
[1]   ESTIMATES NEAR THE BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .1. [J].
AGMON, S ;
DOUGLIS, A ;
NIRENBERG, L .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1959, 12 (04) :623-727
[2]  
BERNSHTEIN SN, 1938, DOKL AKAD NAUK, V18, P385
[3]   SMOOTHNESS OF SOLUTIONS TO NONLINEAR VARIATIONAL INEQUALITIES [J].
BREZIS, H ;
KINDERLE.D .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1974, 23 (09) :831-844
[4]   REGULARITY OF ELLIPTIC AND PARABOLIC FREE BOUNDARIES [J].
CAFFARELLI, LA .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 82 (04) :616-618
[5]  
CAFFARELLI LA, UNPUBLISHED
[6]  
Campanato S., 1965, ANN MAT PUR APPL, V69, P321
[7]   ON INFINITE DIFFERENTIABILITY OF FREE BOUNDARY IN A STEFAN PROBLEM [J].
CANNON, JR ;
HILL, CD .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1968, 22 (02) :385-&
[8]  
DUVAUT G, 1973, CR ACAD SCI A MATH, V276, P1461
[9]  
FRIEDMAN A, 1975, INDIANA U MATH J, V24, P1005, DOI 10.1512/iumj.1975.24.24086
[10]  
FRIEDMAN A, 1976, ARCH RATION MECH AN, V61, P97, DOI 10.1007/BF00249700