Spectral and Dynamical Stability of Nonlinear Waves

By Keith Promislow and Todd Kapitula

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.

• Format: Hardcover
• Language: English
• ISBN: 1461469945
• ISBN13: 9781461469940
• Release Date: June 2013
• Publisher: Springer
• Length: 361 Pages
• Weight: 1.55 lbs.
• Dimensions: 0.9" x 6.1" x 9.2"