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Spectral Geometry and Inverse Scattering Theory by Huaian Diao; Hongyu Liu is a book available to read on EtoBox.

What is Spectral Geometry and Inverse Scattering Theory about?

Inverse scattering problems are a vital subject for both theoretical and experimental studies and remain an active field of research in applied mathematics. This book provides a detailed presentation of typical setup of inverse scattering problems for time-harmonic acoustic, electromagnetic and elastic waves. Moreover, it provides systematical and in-depth discussion on an important class of geometrical inverse scattering problems, where the inverse problem aims at recovering the shape and location of a scatterer independent of its medium properties. Readers of this book will be exposed to a unified framework for analyzing a variety of geometrical inverse scattering problems from a spectral geometric perspective. This book contains both overviews of classical results and update-to-date information on latest developments from both a practical and theoretical point of view. It can be used as an advanced graduate textbook in universities or as a reference source for researchers in acquiring the state-of-the-art results in inverse scattering theory and their potential applications.

Author

Huaian Diao; Hongyu Liu

Publisher

Springer Nature Switzerland AG

Published

2023

Language

EN

ISBN

9783031346156

Subjects

Mathematics, Stem