Presents powerful methods for dealing with singularities in elliptic and parabolic partial differential inequalities. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 344 pages, 4 b/w illus. BIC Classification: PBKJ. Category: (U) Tertiary Education (US: College). Dimension: 234 x 156. . . 2016. 1st Edition. Hardcover. . . . . Books ship from the US and Ireland.

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Bibliographic Details

Title: Encyclopedia of Mathematics and its Applications: Series Number 161: Isolated Singularities in Partial Differential Inequalities
Publisher: Cambridge University Press
Publication Date: 2016
Language: English
ISBN 10: 1107138388
ISBN 13: 9781107138384
Binding: Hardcover
Condition: New

About this title

Synopsis

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.

About the Authors

Marius Ghergu is a Lecturer in the School of Mathematical Sciences at University College Dublin, Ireland.

Steven D. Taliaferro is Associate Professor in the Department of Mathematics at Texas A & M University.

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