Nonlinear Wave Equations [Hardcover]

This work examines the mathematical aspects of nonlinear wave propagation, emphasizing nonlinear hyperbolic problems. It introduces the tools that are most effective for exploring the problems of local and global existence, singularity formation, and large-time behaviour of solutions, and for the study of perturbation methods.Linear wave propagation; local and global existence; singularity formation; solitons and inverse scattering; perturbation methods; general relativity.