Spectral geometry and inverse scattering theory / Huaian Diao, Hongyu Liu.

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Spectral geometry and inverse scattering theory / Huaian Diao, Hongyu Liu.

9783031346156 (electronic bk.)
3031346157 (electronic bk.)
9783031346149
3031346149

Cham : Springer, 2023.

English

1 online resource (x, 387 pages) : illustrations (some color)

10.1007/978-3-031-34615-6 doi

QA614.95

516.3/62

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed October 10, 2023).

Print version: 9783031346149

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