Nonlinear Wave Equations

• Linear wave propagation; local and global existence; singularity formation; solitons and inverse scattering; perturbation methods; general relativity.

". . .a comprehensive pedagogical presentation of the most effective new tools for the study of perturbation methods for a large class of nonlinear evolution problems in mathematical physics. . .. . . .This book is one of the rare titles in this field. On one hand, it can be used as a text for graduate-level students. On the other hand, the content of the book covers a wide class of results on local and global existence, regularity, and singularity formation for nonlinear wave propagation. . .. This book would benefit graduate students as well as to specialists in the field of nonlinear hyperbolic problems in mathematical topics. "---Zentralblatt fur Mathematik"The book has a wealth of matter.. . .Every chapter has a section call[ed] Further results which enriches the contents. The study examines traveling waves and interactions exhaustively.. . .Researchers in wave-propagation will find Nonlinear Wave Equations of great value. "---Applied Mechanics Review