Hyperbolic Partial Differential Equations

• Main Author: Alinhac, Serge. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Series: Universitext
• Subjects: Mathematics.; Differential equations, partial.; Partial Differential Equations.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-87823-2

 Serge Alinhac (1948<U+0013>) received his PhD from l'Universit ̌Paris-Sud XI (Orsay). After teaching at l'Universit ̌Paris Diderot VII and Purdue University, he has been a professor of mathematics at l'Universit ̌Paris-Sud XI (Orsay) since 1978. He is the author of Blowup for Nonlinear Hyperbolic Equations (Birkhũser, 1995) and Pseudo-differential Operators and the Nash<U+0013>Moser Theorem (with P. Gřard, American Mathematical Society, 2007). His primary areas of research are linear and nonlinear partial differential equations. This excellent introduction to hyperbolic differential equations is devoted to linear equations and symmetric systems, as well as conservation laws. The book is divided into two parts. The first, which is intuitive and easy to visualize, includes all aspects of the theory involving vector fields and integral curves; the second describes the wave equation and its perturbations for two- or three-space dimensions. Over 100 exercises are included, as well as "do it yourself" instructions for the proofs of many theorems. Only an understanding of differential calculus is required. Notes at the end of the self-contained chapters, as well as references at the end of the book, enable ease-of-use for both the student and the independent researcher.