عنوان

Isolated singularities in partial differential inequalities /

(Number (ISBN

1107138388

(Number (ISBN

9781107138384

Number

dltt

Title Proper

Isolated singularities in partial differential inequalities /

General Material Designation

[Book]

First Statement of Responsibility

Marius Ghergu, Steven D. Taliaferro

Specific Material Designation and Extent of Item

xii, 349 pages ;

Dimensions

24 cm

Series Title

Encyclopedia of mathematics and its applications ;

Volume Designation

no. 161

Text of Note

Includes bibliographical references and index

Text of Note

Representation formulae for singular solutions of polyharmonic and parabolic inequalities -- Isolated singularities of nonlinear second-order elliptic inequalities -- More on isolated singularities for semilinear elliptic inequalities -- Elliptic inequalities for the Laplace operator with Hardy potential -- Singular solutions for second-order nondivergence type elliptic inequalities -- Isolated singularities of polyharmonic inequalities -- Isolated singularities of polyharmonic inequalities -- Nonlinear biharmonic inequalities -- Semilinear elliptic systems of differential inequalities -- Isolated singularities for nonlocal elliptic systems -- Isolated singularities for systems of parabolic inequalities -- Appendixes: A. Estimates for the heat kernel -- B. Heat potential estimates -- C. Nonlinear potential estimates

0

Text of Note

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

Inequalities (Mathematics)

Singularities (Mathematics)

Number

Edition

Class number

Book number

Ghergu, Marius

Taliaferro, Steven D.

Date of Transaction

20161205112337.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y