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Spectral and Dynamical Stability of Nonlinear Waves

Todd Kapitula and Keith Promislow
Publisher: 
Springer
Publication Date: 
2013
Number of Pages: 
361
Format: 
Hardcover
Series: 
Applied Mathematical Sciences
Price: 
79.95
ISBN: 
9781461469940
Category: 
Monograph
We do not plan to review this book.

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.

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