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Geometric Analysis of Hyperbolic Differential Equations: An Introduction

2010-05-20 Mathematics
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Release : 2010-05-20
Genre : Mathematics
Kind : eBook
Book Rating : 814/5 ( reviews)

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Book Synopsis Geometric Analysis of Hyperbolic Differential Equations: An Introduction by : S. Alinhac

Download or read book Geometric Analysis of Hyperbolic Differential Equations: An Introduction written by S. Alinhac. This book was released on 2010-05-20. Available in PDF, EPUB and Kindle. Book excerpt: Its self-contained presentation and 'do-it-yourself' approach make this the perfect guide for graduate students and researchers wishing to access recent literature in the field of nonlinear wave equations and general relativity. It introduces all of the key tools and concepts from Lorentzian geometry (metrics, null frames, deformation tensors, etc.) and provides complete elementary proofs. The author also discusses applications to topics in nonlinear equations, including null conditions and stability of Minkowski space. No previous knowledge of geometry or relativity is required.

Geometric Analysis of Hyperbolic Differential Equations

2014-05-14 Differential equations, Hyperbolic
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Release : 2014-05-14
Genre : Differential equations, Hyperbolic
Kind : eBook
Book Rating : 844/5 ( reviews)

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Book Synopsis Geometric Analysis of Hyperbolic Differential Equations by : Serge Alinhac

Download or read book Geometric Analysis of Hyperbolic Differential Equations written by Serge Alinhac. This book was released on 2014-05-14. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained presentation of the tools of Lorentzian geometry necessary to access recent works in mathematical relativity.

Geometric Analysis and Nonlinear Partial Differential Equations

2003 Mathematics
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Release : 2003
Genre : Mathematics
Kind : eBook
Book Rating : 512/5 ( reviews)

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Book Synopsis Geometric Analysis and Nonlinear Partial Differential Equations by : Stefan Hildebrandt

Download or read book Geometric Analysis and Nonlinear Partial Differential Equations written by Stefan Hildebrandt. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: This well-organized and coherent collection of papers leads the reader to the frontiers of present research in the theory of nonlinear partial differential equations and the calculus of variations and offers insight into some exciting developments. In addition, most articles also provide an excellent introduction to their background, describing extensively as they do the history of those problems presented, as well as the state of the art and offer a well-chosen guide to the literature. Part I contains the contributions of geometric nature: From spectral theory on regular and singular spaces to regularity theory of solutions of variational problems. Part II consists of articles on partial differential equations which originate from problems in physics, biology and stochastics. They cover elliptic, hyperbolic and parabolic cases.

Hyperbolic Partial Differential Equations

2009-06-17 Mathematics
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Release : 2009-06-17
Genre : Mathematics
Kind : eBook
Book Rating : 238/5 ( reviews)

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Book Synopsis Hyperbolic Partial Differential Equations by : Serge Alinhac

Download or read book Hyperbolic Partial Differential Equations written by Serge Alinhac. This book was released on 2009-06-17. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometric Analysis and Nonlinear Partial Differential Equations

2014-01-15
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Release : 2014-01-15
Genre :
Kind : eBook
Book Rating : 289/5 ( reviews)

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Book Synopsis Geometric Analysis and Nonlinear Partial Differential Equations by : Stefan Hildebrandt

Download or read book Geometric Analysis and Nonlinear Partial Differential Equations written by Stefan Hildebrandt. This book was released on 2014-01-15. Available in PDF, EPUB and Kindle. Book excerpt:

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