Spectral and Dynamical Stability of Nonlinear Waves
This book unifies the dynamical systems and functional analysis approaches to the linear and nonlinear stability of waves. It synthesizes fundamental ideas of the past 20+ years of research, carefully balancing theory and application. The book isolates and methodically develops key ideas by working...
محفوظ في:
| المؤلفون الرئيسيون: | , |
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| مؤلف مشترك: | |
| التنسيق: | الكتروني كتاب الكتروني |
| اللغة: | English |
| منشور في: |
New York, NY :
Springer New York : Imprint: Springer,
2013.
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| الطبعة: | 1st ed. 2013. |
| سلاسل: | Applied Mathematical Sciences,
185 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | https://doi.org/10.1007/978-1-4614-6995-7 |
| الوسوم: |
إضافة وسم
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جدول المحتويات:
- Introduction
- Background material and notation
- Essential and absolute spectra
- Dynamical implications of spectra: dissipative systems
- Dynamical implications of spectra: Hamiltonian systems
- Dynamical implications of spectra: Hamiltonian systems
- Point spectrum: reduction to finite-rank eigenvalue problems
- Point spectrum: linear Hamiltonian systems
- The Evans function for boundary value problems
- The Evans function for Sturm-Liouville operators on the real line
- The Evans function for nth-order operators on the real line
- Index
- References. .



