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Lectures on Nonlinear Evolution Equations: Initial Value Problems (Repost)

Posted By: AvaxGenius
Date: 20 Aug 2022 06:18:28
Lectures on Nonlinear Evolution Equations: Initial Value Problems (Repost)

Lectures on Nonlinear Evolution Equations: Initial Value Problems by Reinhard Racke
English | PDF | 2015 | 315 Pages | ISBN : 3319218727 | 2.9 MB

This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The book employs the classical method of continuation of local solutions with the help of a priori estimates obtained for small data. The existence and uniqueness of small, smooth solutions that are defined for all values of the time parameter are investigated. Moreover, the asymptotic behavior of the solutions is described as time tends to infinity. The methods for nonlinear wave equations are discussed in detail.
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The Einstein Equations and the Large Scale Behavior of Gravitational Fields

Posted By: AvaxGenius
Date: 20 Jun 2022 12:31:59
The Einstein Equations and the Large Scale Behavior of Gravitational Fields

The Einstein Equations and the Large Scale Behavior of Gravitational Fields: 50 Years of the Cauchy Problem in General Relativity by Piotr T. Chruściel
English | PDF | 2004 | 487 Pages | ISBN : 3764371307 | 51.3 MB

The book presents state-of-the-art results on the analysis of the Einstein equations and the large scale structure of their solutions. It combines in a unique way introductory chapters and surveys of various aspects of the analysis of the Einstein equations in the large. It discusses applications of the Einstein equations in geometrical studies and the physical interpretation of their solutions. Open problems concerning analytical and numerical aspects of the Einstein equations are pointed out.
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Analytic Methods in the Theory of Differential and Pseudo-Differential Equations of Parabolic Type

Posted By: AvaxGenius
Date: 3 Jan 2021 21:27:57
Analytic Methods in the Theory of Differential and Pseudo-Differential Equations of Parabolic Type

Analytic Methods in the Theory of Differential and Pseudo-Differential Equations of Parabolic Type by Samuil D. Eidelman
English | PDF | 2004 | 395 Pages | ISBN : 3034895925 | 26.9 MB

The theory of parabolic equations, a well-developed part of the contemporary partial differential equations and mathematical physics, is the subject theory of of an immense research activity. A continuing interest in parabolic equations is caused both by the depth and complexity of mathematical problems emerging here, and by its importance in specific applied problems of natural science, technology, and economics.
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