03263nam a22004575i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118040002500153050001600178072001600194072002300210072001500233082001200248100007700260245009000337264004600427300003400473336002600507337002600533338003600559347002400595490002900619505027300648520129000921650003502211650003702246650003602283650008502319650010702404650009302511710003402604773002002638776003602658776003602694830002902730856004602759978-0-387-87823-2DE-He21320181204133151.0cr nn 008mamaa100301s2009 xxu| s |||| 0|eng d a97803878782327 a10.1007/978-0-387-87823-22doi aISI Library, Kolkata 4aQA299.6-433 7aPBK2bicssc 7aMAT0340002bisacsh 7aPBK2thema04a5152231 aAlinhac, Serge.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aHyperbolic Partial Differential Equationsh[electronic resource] /cby Serge Alinhac. 1aNew York, NY :bSpringer New York,c2009. aXII, 150 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aUniversitext,x0172-59390 aVector Fields and Integral Curves -- Operators and Systems in the Plane -- Nonlinear First Order Equations -- Conservation Laws in One-Space Dimension -- The Wave Equation -- Energy Inequalities for the Wave Equation -- Variable Coefficient Wave Equations and Systems. 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. 0aGlobal analysis (Mathematics). 0aDifferential equations, partial. 0aPotential theory (Mathematics).14aAnalysis.0http://scigraph.springernature.com/things/product-market-codes/M1200724aPartial Differential Equations.0http://scigraph.springernature.com/things/product-market-codes/M1215524aPotential Theory.0http://scigraph.springernature.com/things/product-market-codes/M121632 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z978038787951208iPrinted edition:z9780387878225 0aUniversitext,x0172-593940uhttps://doi.org/10.1007/978-0-387-87823-2