» » Hyperbolic Partial Differential Equations (Universitext)

Download Hyperbolic Partial Differential Equations (Universitext) fb2

by Serge Alinhac

  • ISBN: 038787822X
  • Category: Math & Science
  • Author: Serge Alinhac
  • Subcategory: Mathematics
  • Other formats: docx rtf mbr mobi
  • Language: English
  • Publisher: Springer; 2009 edition (June 29, 2009)
  • Pages: 150 pages
  • FB2 size: 1512 kb
  • EPUB size: 1228 kb
  • Rating: 4.5
  • Votes: 434
Download Hyperbolic Partial Differential Equations (Universitext) fb2

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

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

Serge Alinhac (1948–) received his PhD from l'Université Paris-Sud XI (Orsay). This excellent introduction to hyperbolic differential equations is devoted to linear equations and symmetric systems, as well as conservation laws.

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).

The aim of the present book is to present hyperbolic partial differential equations at an elementary level

The aim of the present book is to present hyperbolic partial differential equations at an elementary level. the novice might well be used to a more discursive style. HypPDE is a very good boo. he more experienced mathematician will also find a lot of good stuff in these pages, all presented well and cogently. Michael Berg, The Mathematical Association of America, October, 2009). This terse volume on hyperbolic differential equations (which describe processes, such as wave propagation, where signals travel at finite speed) serves . eed. Summing Up: Highly recommended. Upper-division undergraduate through professional collections.

Hyperbolic Partial Differential Equations We remark that if u ∈ C ∞ (R [0, T [) is a solution of the Cauchy problem, all traces (∂tk u)(x, 0) are known from the data; in fact, using the equation . .

Hyperbolic Partial Differential Equations. 123. Serge Alinhac Université Paris-Sud XI Département de Mathématiques Orsay Cedex 91405 France serge. Introduction The aim of this book is to present hyperbolic partial differential equations at an elementary level.

Электронная книга "Hyperbolic Partial Differential Equations", Serge Alinhac. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Hyperbolic Partial Differential Equations" для чтения в офлайн-режиме.

More precisely, the Cauchy problem can be locally solved for arbitrary initial data along any non-characteristic hypersurface. Many of the equations of mechanics are hyperbolic, and so the study of hyperbolic equations is of substantial contemporary interest

Hyperbolic Partial Differential Equations book.

Hyperbolic Partial Differential Equations book.

Extra resources for Hyperbolic Partial Differential Equations (Universitext). Show sample text content. First we tranform this Cauchy challenge right into a simply geometric challenge. To a true functionality u ∈ C 1 (Ω) we affiliate its graph in Ω Rz, S {(x, z), x ∈ Ω, z u(x)}

Extra resources for Hyperbolic Partial Differential Equations (Universitext). To a true functionality u ∈ C 1 (Ω) we affiliate its graph in Ω Rz, S {(x, z), x ∈ Ω, z u(x)}. the strategy of features is predicated upon the next statement: statement three. 1. The functionality u is an answer of the equation in Ω if and provided that the field V (x, z) (a1 (x, z),.

book by Serge Alinhac. The aim of this book is to present hyperbolic partial di'erential equations at an elementary level. In fact, the required mathematical background is only a third year university course on di'erential calculus for functions of several variables. No functional analysis knowledge is needed, nor any distribution theory (with the exception of shock waves mentioned below). k All solutions appearing in the text are piecewise classical C solutions.

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.



Related to Hyperbolic Partial Differential Equations (Universitext) fb2 books: