Reconstruction of Small Inhomogeneities from Boundary Measurements, 1846. sayıSpringer Science & Business Media, 3 Ağu 2004 - 238 sayfa 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. |
İçindekiler
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 |
| 223 | |
| 237 | |
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
algorithm asymptotic expansion asymptotic formula boundary measurements bounded Lipschitz domain Chap compact compact operators compute conductivity inclusions conductivity problem connected Lipschitz constant C depending D₁ defined denote derive Dirichlet Dirichlet problem disk do(y domain in IRd eigenvalues ellipse EMT's estimate exists a constant Ə¹ following theorem Fourier transform given GPT's Green's harmonic function harmonic polynomial Helmholtz equation hence identity inequality invertible L(OD L²(ƏD Lamé constants Lamé parameters layer potentials Lemma linear Lipschitz boundary Lipschitz character matrix method Neumann O(ed obtain operator Poincaré inequality polarization tensor prove reconstruction satisfies small inclusions Suppose symmetric tensor of Pólya-Szegö transmission problem u₁ ulan unique solution vector Vogelius voltage potential zero θν ΘΩ μο ὃν Σ Σ ΣΣ ав ән дв ди ди მა მე მი მყ