Hyperbolic Partial Differential Equations [electronic resource] / by Serge Alinhac.
By: Alinhac, Serge [author.].
Contributor(s): SpringerLink (Online service).
Material type: TextSeries: Universitext: Publisher: New York, NY : Springer New York, 2009Description: XII, 150 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9780387878232.Subject(s): Global analysis (Mathematics)  Differential equations, partial  Potential theory (Mathematics)  Analysis  Partial Differential Equations  Potential TheoryAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 515 Online resources: Click here to access onlineItem type  Current location  Call number  Status  Date due  Barcode  Item holds  

EBOOKS 
ISI Library, Kolkata

Available  EB1614 
Vector Fields and Integral Curves  Operators and Systems in the Plane  Nonlinear First Order Equations  Conservation Laws in OneSpace Dimension  The Wave Equation  Energy Inequalities for the Wave Equation  Variable Coefficient Wave Equations and Systems.
Serge Alinhac (1948–) received his PhD from l'Université ParisSud XI (Orsay). After teaching at l'Université Paris Diderot VII and Purdue University, he has been a professor of mathematics at l'Université ParisSud XI (Orsay) since 1978. He is the author of Blowup for Nonlinear Hyperbolic Equations (Birkhäuser, 1995) and Pseudodifferential 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 threespace 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 selfcontained chapters, as well as references at the end of the book, enable easeofuse for both the student and the independent researcher.
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