Asymptotic Completeness for a Scalar Quasilinear Wave Equation Satisfying the Weak Null Condition PDF Download
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Author: Dongxiao Yu
Publisher: American Mathematical Society
ISBN: 1470470489
Category : Mathematics
Languages : en
Pages : 140
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Book Description
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Author: Dongxiao Yu
Publisher: American Mathematical Society
ISBN: 1470470489
Category : Mathematics
Languages : en
Pages : 140
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Book Description
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Author: Deniz Bilman
Publisher: American Mathematical Society
ISBN: 1470471213
Category : Mathematics
Languages : en
Pages : 102
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Book Description
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Author: J. Adams
Publisher: American Mathematical Society
ISBN: 1470471051
Category : Mathematics
Languages : en
Pages : 122
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Book Description
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Author: Radu Saghin
Publisher: American Mathematical Society
ISBN: 1470471329
Category : Mathematics
Languages : en
Pages : 90
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Book Description
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Author: Daniele Alessandrini
Publisher: American Mathematical Society
ISBN: 1470471086
Category : Mathematics
Languages : en
Pages : 130
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Book Description
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Author: R. M. Guralnick
Publisher: American Mathematical Society
ISBN: 1470470527
Category : Mathematics
Languages : en
Pages : 316
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Book Description
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Author: David A. Kopriva
Publisher: Springer Science & Business Media
ISBN: 9048122619
Category : Mathematics
Languages : en
Pages : 397
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Book Description
This book explains how to solve partial differential equations numerically using single and multidomain spectral methods. It shows how only a few fundamental algorithms form the building blocks of any spectral code, even for problems with complex geometries.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1228
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Book Description
Author: Demetrios Christodoulou
Publisher: Princeton University Press
ISBN: 1400863171
Category : Mathematics
Languages : en
Pages : 525
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Book Description
The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book offers a constructive proof of global, smooth solutions to the Einstein Vacuum Equations, which look, in the large, like the Minkowski space-time. In particular, these solutions are free of black holes and singularities. The work contains a detailed description of the sense in which these solutions are close to the Minkowski space-time, in all directions. It thus provides the mathematical framework in which we can give a rigorous derivation of the laws of gravitation proposed by Bondi. Moreover, it establishes other important conclusions concerning the nonlinear character of gravitational radiation. The authors obtain their solutions as dynamic developments of all initial data sets, which are close, in a precise manner, to the flat initial data set corresponding to the Minkowski space-time. They thus establish the global dynamic stability of the latter. Originally published in 1994. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author: Hans Ringström
Publisher: European Mathematical Society
ISBN: 9783037190531
Category : Mathematics
Languages : en
Pages : 310
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Book Description
The general theory of relativity is a theory of manifolds equipped with Lorentz metrics and fields which describe the matter content. Einstein's equations equate the Einstein tensor (a curvature quantity associated with the Lorentz metric) with the stress energy tensor (an object constructed using the matter fields). In addition, there are equations describing the evolution of the matter. Using symmetry as a guiding principle, one is naturally led to the Schwarzschild and Friedmann-Lemaitre-Robertson-Walker solutions, modelling an isolated system and the entire universe respectively. In a different approach, formulating Einstein's equations as an initial value problem allows a closer study of their solutions. This book first provides a definition of the concept of initial data and a proof of the correspondence between initial data and development. It turns out that some initial data allow non-isometric maximal developments, complicating the uniqueness issue. The second half of the book is concerned with this and related problems, such as strong cosmic censorship. The book presents complete proofs of several classical results that play a central role in mathematical relativity but are not easily accessible to those without prior background in the subject. Prerequisites are a good knowledge of basic measure and integration theory as well as the fundamentals of Lorentz geometry. The necessary background from the theory of partial differential equations and Lorentz geometry is included.
