ISBN: 9781332942855 - exact and asymptotic solutions of the cauchy problem (classic reprint) (3 Ergebnisse)

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Paperback. Zustand: New. Print on Demand. This book presents a theoretical framework for examining linear hyperbolic partial differential equations. It provides a foundation for understanding the Cauchy problem, which seeks to determine a solution to such equations subject to specified initial conditions. The author, an established mathematician, employs a novel approach called 'generalized progressing wave solutions' to construct explicit solutions to these equations, even when the initial data is singular. The book's significance lies in extending the methods of geometrical optics to a much broader class of problems, offering a deeper understanding of the behavior of solutions to hyperbolic equations, including the phenomenon of caustics, where the usual solution techniques break down. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.…