LEADER 00000cam a22004937i 4500 
001    ocn918879326 
003    OCoLC 
005    20161120084154.0 
008    160915s2016    enk      b    001 0 eng d 
010      2016288157 
020    9781107138384 
020    1107138388 
035    (OCoLC)918879326 
040    BTCTA|beng|erda|cBTCTA|dDLC|dYDXCP|dCDX|dKLG|dOCLCF|dIUL
       |dUIU|dSOI 
042    lccopycat 
049    RIDM 
050 00 QA295|b.G477 2016 
082 04 515.3/6|223 
090    QA295|b.G477 2016 
100 1  Ghergu, Marius,|0https://id.loc.gov/authorities/names/
       no2008031112|eauthor. 
245 10 Isolated singularities in partial differential 
       inequalities /|cMarius Ghergu, University College Dublin, 
       Steven D. Taliaferro, Texas A & M University. 
264  1 Cambridge :|bCambridge University Press,|c2016. 
300    xii, 349 pages ;|c24 cm. 
336    text|btxt|2rdacontent 
337    unmediated|bn|2rdamedia 
338    volume|bnc|2rdacarrier 
490 1  Encyclopedia of mathematics and its applications ;|vno. 
       161 
504    Includes bibliographical references and index. 
505 0  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    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.--|cSource other than 
       the Library of Congress. 
650  0 Inequalities (Mathematics)|0https://id.loc.gov/authorities
       /subjects/sh85065985 
650  0 Singularities (Mathematics)|0https://id.loc.gov/
       authorities/subjects/sh85122871 
650  7 Inequalities (Mathematics)|2fast|0https://id.worldcat.org/
       fast/972020 
650  7 Singularities (Mathematics)|2fast|0https://id.worldcat.org
       /fast/1119502 
700 1  Taliaferro, Steven D.,|0https://id.loc.gov/authorities/
       names/no2016048456|eauthor. 
830  0 Encyclopedia of mathematics and its applications ;|0https:
       //id.loc.gov/authorities/names/n42010632|vv. 161. 
901    MARCIVE 20231220 
948    |d20170922|clti|tlti-aex 
948    |d20161120|cMH|tconsult overlay|lridm 
948    |d20160930|clti|tlti-aex 
994    C0|bRID