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978-0-387-87823-2
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9780387878232
978-0-387-87823-2
10.1007/978-0-387-87823-2
doi
ISI Library, Kolkata
QA299.6-433
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MAT034000
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thema
515
23
Alinhac, Serge.
author.
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http://id.loc.gov/vocabulary/relators/aut
Hyperbolic Partial Differential Equations
[electronic resource] /
by Serge Alinhac.
New York, NY :
Springer New York,
2009.
XII, 150 p.
online resource.
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Universitext,
0172-5939
Vector 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.
Serge 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.
Global analysis (Mathematics).
Differential equations, partial.
Potential theory (Mathematics).
Analysis.
http://scigraph.springernature.com/things/product-market-codes/M12007
Partial Differential Equations.
http://scigraph.springernature.com/things/product-market-codes/M12155
Potential Theory.
http://scigraph.springernature.com/things/product-market-codes/M12163
SpringerLink (Online service)
Springer eBooks
Printed edition:
9780387879512
Printed edition:
9780387878225
Universitext,
0172-5939
https://doi.org/10.1007/978-0-387-87823-2
ZDB-2-SMA
EB
Mathematics and Statistics (Springer-11649)
426404
426404
276063
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