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Isolated singularities in partial di...

Ghergu, Marius,

Isolated singularities in partial differential inequalities /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Isolated singularities in partial differential inequalities /Marius Ghergu, Steven D. Taliaferro.
Author:	Ghergu, Marius,
other author:	Taliaferro, Steven D.,
Published:	Cambridge :Cambridge University Press,2016.
Description:	xii, 349 p. :ill. ;24 cm.
Subject:	Inequalities (Mathematics)
Online resource:	https://www.loc.gov/catdir/enhancements/fy1701/2016288157-t.html
Online resource:	https://www.loc.gov/catdir/enhancements/fy1701/2016288157-b.html
Online resource:	https://www.loc.gov/catdir/enhancements/fy1701/2016288157-d.html
ISBN:	9781107138384 :

Isolated singularities in partial differential inequalities /
Ghergu, Marius,

Isolated singularities in partial differential inequalities /Marius Ghergu, Steven D. Taliaferro. - Cambridge :Cambridge University Press,2016. - xii, 349 p. :ill. ;24 cm. - Encyclopedia of mathematics and its applications ;no. 161. - Encyclopedia of mathematics and its applications ;v. 124-125..

Includes bibliographical references and index.

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.

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.--

ISBN: 9781107138384 :NT$3342

LCCN: 2016288157Subjects--Topical Terms:

183909
Inequalities (Mathematics)

LC Class. No.: QA295 / .G477 2016

Dewey Class. No.: 515.3/6

Isolated singularities in partial differential inequalities /
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008 170901s2016 enka b 001 0 eng d
010 $a 2016288157
020 $a 9781107138384 : $c NT$3342
020 $a 1107138388
035 $a (OCoLC)ocn918879326
035 $a 19275612
040 $a BTCTA $b eng $c BTCTA $d YDXCP $d OCLCO $d CDX $d OCLCQ $d KLG $d OCLCF $d IUL $d UIU $d SOI $d DLC
042 $a lccopycat
050 0 0 $a QA295 $b .G477 2016
082 0 4 $a 515.3/6 $2 23
100 1 $a Ghergu, Marius, $e author. $3 767213
245 1 0 $a Isolated singularities in partial differential inequalities / $c Marius Ghergu, Steven D. Taliaferro.
260 $a Cambridge : $b Cambridge University Press, $c 2016.
300 $a xii, 349 p. : $b ill. ; $c 24 cm.
490 1 $a Encyclopedia of mathematics and its applications ; $v no. 161
504 $a Includes bibliographical references and index.
505 0 $a 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.
520 $a 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.-- $c Source other than the Library of Congress.
650 0 $a Inequalities (Mathematics) $3 183909
650 0 $a Singularities (Mathematics) $3 185806
700 1 $a Taliaferro, Steven D., $e author. $3 767214
830 0 $a Encyclopedia of mathematics and its applications ; $v v. 124-125. $3 403662
856 4 1 $3 Table of contents only $u https://www.loc.gov/catdir/enhancements/fy1701/2016288157-t.html
856 4 2 $3 Contributor biographical information $u https://www.loc.gov/catdir/enhancements/fy1701/2016288157-b.html
856 4 2 $3 Publisher description $u https://www.loc.gov/catdir/enhancements/fy1701/2016288157-d.html

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QA295 G416 2016

一般使用(Normal)

[NT 15000113]

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