Spectral Geometry and Inverse Scattering Theory
Springer International Publishing (Verlag)
978-3-031-34617-0 (ISBN)
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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.
Erscheinungsdatum | 04.10.2024 |
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Zusatzinfo | X, 387 p. 16 illus., 1 illus. in color. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 210 x 279 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
Schlagworte | acoustics • Elastodynamics • electromagnetism • geometric structures of eigenfunctions • inverse shape problems • single measurements • Spectral Geometry • stability • uniqueness • wave scattering |
ISBN-10 | 3-031-34617-3 / 3031346173 |
ISBN-13 | 978-3-031-34617-0 / 9783031346170 |
Zustand | Neuware |
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