This book is devoted to an introduction of elliptic and
parabolic inverse problems. Our goal is to present some recent
methods for establishing uniqueness and stability results. We study
some classical elliptic inverse problems: inverse conductivity
problem, detection of corrosion or cracks and inverse spectral
problems. Among the parabolic inverse problems we consider the
classic problem of finding an initial distribution of heat and the
location of sources. We hope that this book will interest all those
who want to learn the mathematical analysis of inverse
problems.
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