Nonlinear Wave Equations FROM THE PUBLISHER
This up-to-date reference/text examines the mathematical aspects of nonlinear wave propagation - emphasizing nonlinear hyperbolic problems - and introduces the most effective tools for the study of perturbation methods and for exploring global existence, singularity formation, and large-time behavior of solutions. Containing key bibliographic citations, Nonlinear Wave Equations is an excellent reference for mathematical analysts and industrial and applied mathematicians; electrical and electronics, aerospace, mechanical, control, systems, and computer engineers; and physicists; as well as an invaluable text for graduate-level students in these disciplines with an understanding of partial differential equations.
FROM THE CRITICS
Zentralblatt fur Mathematik
...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.
Applied Mechanics Review
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.
Booknews
A course text for graduate students with a good background in partial differential equations. Examines the mathematical aspects of nonlinear wave propagation emphasizing nonlinear hyperbolic problems, and introduces tools for studying perturbation methods, global existence, singularity formation, and the large-time behavior of solutions. Avoids duplicating material in the other standard monographs. Annotation c. Book News, Inc., Portland, OR (booknews.com)