Nonlinear Vibrations and the Wave Equation

By Alain Haraux

Book Overview

1 Unbounded Linear Operators and Evolution Equations.- 2 A Class of Abstract Wave Equations.- 3 Almost Periodic Functions and the Abstract Wave Equation.- 4 The Wave Equation in a Bounded Domain.- 5 The Initial-Value Problem for a Mildly Perturbed Wave Equation.- 6 The Initial-Value Problem in Presence of a Strong Dissipation.- 7 Solutions on R+ and Boundedness of the Energy.- 8 Existence of Forced Oscillations.- 9 Stability of Periodic or Almost Periodic Solutions.- 10 The Conservative Case in One Spatial Dimension.- 11 The Conservative Case in Several Spatial Dimensions.- 12 Thirthy Years After.

• Format: Paperback
• Language: English
• ISBN: 3319785141
• ISBN13: 9783319785141
• Release Date: May 2018
• Publisher: Springer
• Length: 102 Pages
• Weight: 0.38 lbs.
• Dimensions: 0.2" x 6.1" x 9.2"