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[null,"1.","Record Nr.",null,"UNINA9910746969303321"]
[null,null,"Autore",null,"Diao Huaian"]
[null,null,"Titolo",null,"Spectral Geometry and Inverse Scattering Theory / / by Huaian Diao, Hongyu Liu"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023"]
[null,null,"ISBN",null,"9783031346156"]
[{"$nulls":4},"3031346157"]
[null,null,"Edizione",null,"[1st ed. 2023.]"]
[null,null,"Descrizione fisica",null,"1 online resource (388 pages)"]
[null,null,"Disciplina",null,"516"]
[null,null,"Soggetti",null,"Geometry"]
[{"$nulls":4},"Differential equations"]
[{"$nulls":4},"Differential Equations"]
[{"$nulls":4},"Geometria espectral"]
[{"$nulls":4},"Transformacions (Matemàtica)"]
[{"$nulls":4},"Llibres electrònics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"Introduction. -Geometric structures of Laplacian eiegenfunctions -- Geometric structures of Maxwellian eigenfunctions -- Inverse obstacle and diffraction grating scattering problems -- Path argument for inverse acoustic and electromagnetic obstacle scattering problems -- Stability for inverse acoustic obstacle scattering problems. - Stability for inverse electromagnetic obstacle scattering problems -- Geometric structures of Helmholtz’s transmission eigenfunctions with general transmission conditions and applications -- Geometric structures of Maxwell’s transmission eigenfunctions and applications -- Geometric structures of Lame’s transmission eigenfunctions with general ´ transmission conditions and applications -- Geometric properties of Helmholtz’s transmission eigenfunctions induced by curvatures and applications. - Stable determination of an acoustic medium scatterer by a single far-field pattern -- Stable determination of an elastic medium scatterer by a single far-field measurement and beyond."]
[null,null,null,"Sommario/riassunto","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 "]
[{"$nulls":4},"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 referencesource for researchers in acquiring the state-of-the-art results in inverse scattering theory and their potential applications. ."]