Reconstruction of Small Inhomogeneities from Boundary Measurements, Issue 1846

Front Cover
Springer Science & Business Media, Aug 3, 2004 - Mathematics - 238 pages
This is the first book to provide a systematic exposition of promising techniques for the reconstruction of small inhomogeneities from boundary measurements. In particular, theoretical results and numerical procedures for the inverse problems for the conductivity equation, the Lamé system, as well as the Helmholtz equation are discussed in a readable and informative manner. The general approach developed in this book is based on layer potential techniques and modern asymptotic analysis of partial differential equations. The book is particularly suitable for graduate students in mathematics.
 

Contents

I
1
II
5
III
11
V
14
VI
30
VII
34
VIII
39
IX
41
XXXIV
109
XXXV
113
XXXVI
115
XXXVII
123
XXXVIII
129
XL
132
XLI
140
XLII
143

X
42
XI
45
XII
47
XIII
49
XIV
52
XV
56
XVI
57
XVII
58
XVIII
62
XIX
65
XX
67
XXI
71
XXII
76
XXIII
79
XXIV
80
XXV
85
XXVII
88
XXVIII
89
XXIX
91
XXX
97
XXXII
100
XXXIII
103
XLIII
147
XLIV
151
XLV
159
XLVI
163
XLVII
164
XLVIII
167
XLIX
175
L
179
LI
185
LII
188
LIII
197
LIV
207
LV
209
LVI
213
LVII
215
LVIII
216
LIX
217
LXII
220
LXIII
223
LXIV
237
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