Isolated Singularities in Partial Differential Inequalities pdf
Isolated Singularities in Partial Differential Inequalities pdf
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Author: Steven D. Taliaferro
Page Count: 362 pages
Published Date: 04 Feb 2016
Publisher: CAMBRIDGE UNIVERSITY PRESS
Publication Country: Cambridge, United Kingdom
Language: English
ISBN: 9781107138384
File size: 8 Mb
Download Link: Isolated Singularities in Partial Differential Inequalities
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In this monograph, the authors present some powerful methods for dealing with singularities in elliptic and parabolic partial differential inequalities. Here, the authors take the unique approach of investigating differential inequalities rather than equations, the reason being that the simplest way to study an equation is often to study a corresponding inequality; for example, using sub and superharmonic functions to study harmonic functions. Another unusual feature of the present book is that it is based on integral representation formulae and nonlinear potentials, which have not been widely investigated so far. This approach can also be used to tackle higher order differential equations. The book will appeal to graduate students interested in analysis, researchers in pure and applied mathematics, and engineers who work with partial differential equations. Readers will require only a basic knowledge of functional analysis, measure theory and Sobolev spaces.
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Isolated Singularities in Partial Differential Inequalities. Steven D. Taliaferro
Author: Steven D. Taliaferro
Page Count: 362 pages
Published Date: 04 Feb 2016
Publisher: CAMBRIDGE UNIVERSITY PRESS
Publication Country: Cambridge, United Kingdom
Language: English
ISBN: 9781107138384
File size: 8 Mb
Download Link: Isolated Singularities in Partial Differential Inequalities
---------------------------------------------------------------
In this monograph, the authors present some powerful methods for dealing with singularities in elliptic and parabolic partial differential inequalities. Here, the authors take the unique approach of investigating differential inequalities rather than equations, the reason being that the simplest way to study an equation is often to study a corresponding inequality; for example, using sub and superharmonic functions to study harmonic functions. Another unusual feature of the present book is that it is based on integral representation formulae and nonlinear potentials, which have not been widely investigated so far. This approach can also be used to tackle higher order differential equations. The book will appeal to graduate students interested in analysis, researchers in pure and applied mathematics, and engineers who work with partial differential equations. Readers will require only a basic knowledge of functional analysis, measure theory and Sobolev spaces.
Read online Isolated Singularities in Partial Differential Inequalities Buy and read online Isolated Singularities in Partial Differential Inequalities Download and read Isolated Singularities in Partial Differential Inequalities ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent Download to iPad/iPhone/iOS, B&N nook Isolated Singularities in Partial Differential Inequalities
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