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...
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| Hlavní autoři: | , |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
New York, NY :
Springer New York : Imprint: Springer
[20..].
Cham : Springer Nature |
| Vydání: | 1st ed. 2013. |
| Edice: | Applied Mathematical Sciences
185 |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Spectral and dynamical stability of nonlinear waves, Todd Kapitula, Keith Promislow, New York, Springer, 2013, 1 vol. (XIII-361 p.), Applied mathematical sciences, 978-1-461-46994-0 |
Obsah:
- 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