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.
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Editorial Reviews
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. . .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
---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
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This chapter presents some material on linear PDE with constant coefficients which will be needed in later chapters. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Pure Appl, Korteweg-de Vries, Duke Math, Academic Press, New York, Applied Math, Cambridge University Press, Princeton University Press, Pure Math New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
This chapter presents some material on linear PDE with constant coefficients which will be needed in later chapters. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Pure Appl, Korteweg-de Vries, Duke Math, Academic Press, New York, Applied Math, Cambridge University Press, Princeton University Press, Pure Math New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 58
books:
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- Nonlinear Wave Equations (Cbms Regional Conference Series in Mathematics) by Walter A. Strauss on page 45, page 85, and page 132
- Set Theory by Thomas Jech in Front Matter (1), and Front Matter (2)
- General Relativity by Robert M. Wald on page 265, and page 271
- Pseudodifferential Operators (Princeton Mathematical Series) by Michael E. Taylor on page 85, and page 133
- Introduction to Set Theory, Third Edition, Revised and Expanded (Chapman & Hall/CRC Pure and Applied Mathematics) by Karel Hrbacek in Front Matter (1), and Front Matter (2)
See all 58 books this book cites
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