STABLE DETERMINATION OF A CRACK FROM BOUNDARY MEASUREMENTS

被引:86
作者
ALESSANDRINI, G
机构
关键词
D O I
10.1017/S0308210500025853
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We treat the problem of determining a crack inside a conductor when two pairs of current and voltage boundary measurements are given. We prove a theorem of continuous dependence from the data.
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页码:497 / 516
页数:20
相关论文
共 13 条
[1]  
ALESSANDRINI G, 1991, APPLIED IND MATH
[2]   STABILITY RESULTS FOR AN INVERSE PROBLEM IN POTENTIAL-THEORY [J].
BERETTA, E ;
VESSELLA, S .
ANNALI DI MATEMATICA PURA ED APPLICATA, 1990, 156 :381-404
[3]  
BRYAN K, UNIQUENESS RESULT ID
[4]   ROBIN FUNCTIONS AND ENERGY FUNCTIONALS OF MULTIPLY CONNECTED DOMAINS [J].
DUREN, PL ;
SCHIFFER, MM .
PACIFIC JOURNAL OF MATHEMATICS, 1991, 148 (02) :251-273
[5]   DETERMINING CRACKS BY BOUNDARY MEASUREMENTS [J].
FRIEDMAN, A ;
VOGELIUS, M .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1989, 38 (03) :527-556
[6]  
HADAMARD J, 1952, LECTURES CAUCHYS PRO
[7]  
Isakov V., 1990, INVERSE SOURCE PROBL
[8]  
LAVRENTEV MM, 1983, PROBLEMI NON B POSTI
[9]   RECONSTRUCTIONS FROM BOUNDARY MEASUREMENTS [J].
NACHMAN, AI .
ANNALS OF MATHEMATICS, 1988, 128 (03) :531-576
[10]  
Nehari Z., 1952, CONFORMAL MAPPING