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MARC 21

Hyperbolic Partial Differential Equations
Tag	Description
020	$a9780387878232
082	$a515
099	$aOnline Resource : Springer
100	$aAlinhac, Serge.
245	$aHyperbolic Partial Differential Equations$hEB$cby Serge Alinhac.
260	$aNew York, NY$bSpringer$c2009.
300	$axi, 150 pages$bonline resource.
336	$atext
338	$aonline resource
440	$aUniversitext
505	$aIntroduction -- Vector Fields and Integral Curves -- Operators and Systems in the Plane -- Nonlinear First Order Equations -- Conservation Laws in One Dimension Space -- The Wave Equation -- Energy Inequalities for the Wave Equation -- Variable Coefficients Wave Equations and Systems -- Appendices -- Index.
520	$aSerge Alinhac (1948) received his PhD from l'Université Paris-Sud XI (Orsay). After teaching at l'Université Paris Diderot VII and Purdue University, he has been a professor of mathematics at l'Université Paris-Sud XI (Orsay) since 1978. He is the author of Blowup for Nonlinear Hyperbolic Equations (Birkhäuser, 1995) and Pseudo-differential Operators and the Nash-Moser Theorem (with P. Gérard, 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
710	$aSpringerLink (Online service)
830	$aUniversitext
856	$uhttp://dx.doi.org/10.1007/978-0-387-87823-2