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Layer Potential Techniques in Spectral Analysis
About this Title
Habib Ammari, Ecole Polytechnique, Palaiseau, France, Hyeonbae Kang, Inha University, Incheon, South Korea and Hyundae Lee, Inha University, Incheon, South Korea
Publication: Mathematical Surveys and Monographs
Publication Year:
2009; Volume 153
ISBNs: 978-0-8218-4784-8 (print); 978-1-4704-1380-4 (online)
DOI: https://doi.org/10.1090/surv/153
MathSciNet review: MR2488135
MSC: Primary 47F05; Secondary 35P20, 35R30, 47A10, 49Q12, 49R05, 74G99, 74H45
Table of Contents
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Front/Back Matter
Chapters
Gohberg-Sigal theory
Eigenvalue perturbation problems and applications
- 2. Layer potentials
- 3. Eigenvalue perturbations of the Laplacian
- 4. Vibration testing for detecting internal corrosion
- 5. Perturbations of scattering frequencies of resonators with narrow slits and slots
- 6. Eigenvalue perturbations of the Lamé system
Photonic and phononic band gaps and optimal design