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...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
[2016]
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
161 |
| Schlagworte: | |
| Zusammenfassung: | 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 |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | xii, 349 Seiten 24 cm |
| ISBN: | 9781107138384 1107138388 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV043585131 | ||
| 003 | DE-604 | ||
| 005 | 20170322 | ||
| 007 | t | ||
| 008 | 160603s2016 |||| 00||| eng d | ||
| 020 | |a 9781107138384 |c : hardback |9 978-1-107-13838-4 | ||
| 020 | |a 1107138388 |9 1-107-13838-8 | ||
| 035 | |a (OCoLC)951261601 | ||
| 035 | |a (DE-599)GBV858622718 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-19 |a DE-20 |a DE-83 | ||
| 050 | 0 | |a QA295 | |
| 082 | 0 | |a 515.3/6 | |
| 084 | |a SK 490 |0 (DE-625)143242: |2 rvk | ||
| 084 | |a SK 540 |0 (DE-625)143245: |2 rvk | ||
| 084 | |a 31.45 |2 bkl | ||
| 084 | |a 26D10 |2 msc | ||
| 084 | |a 35A20 |2 msc | ||
| 100 | 1 | |a Ghergu, Marius |0 (DE-588)101897590X |4 aut | |
| 245 | 1 | 0 | |a Isolated singularities in partial differential inequalities |c Marius Ghergu, University College Dublin ; Steven D. Taliaferro, Texas A&M University |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c [2016] | |
| 264 | 4 | |c © 2016 | |
| 300 | |a xii, 349 Seiten |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Encyclopedia of mathematics and its applications |v 161 | |
| 500 | |a Includes bibliographical references and index | ||
| 520 | 8 | |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 | |
| 650 | 4 | |a Inequalities (Mathematics) | |
| 650 | 4 | |a Singularities (Mathematics) | |
| 650 | 0 | 7 | |a Differentialungleichung |0 (DE-588)4149785-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Differentialungleichung |0 (DE-588)4149785-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Taliaferro, Steven D. |0 (DE-588)1102567515 |4 aut | |
| 830 | 0 | |a Encyclopedia of mathematics and its applications |v 161 |w (DE-604)BV000903719 |9 161 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-028999705 | ||
Datensatz im Suchindex
| _version_ | 1804176270344323072 |
|---|---|
| any_adam_object | |
| author | Ghergu, Marius Taliaferro, Steven D. |
| author_GND | (DE-588)101897590X (DE-588)1102567515 |
| author_facet | Ghergu, Marius Taliaferro, Steven D. |
| author_role | aut aut |
| author_sort | Ghergu, Marius |
| author_variant | m g mg s d t sd sdt |
| building | Verbundindex |
| bvnumber | BV043585131 |
| callnumber-first | Q - Science |
| callnumber-label | QA295 |
| callnumber-raw | QA295 |
| callnumber-search | QA295 |
| callnumber-sort | QA 3295 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 490 SK 540 |
| ctrlnum | (OCoLC)951261601 (DE-599)GBV858622718 |
| dewey-full | 515.3/6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.3/6 |
| dewey-search | 515.3/6 |
| dewey-sort | 3515.3 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02659nam a2200481 cb4500</leader><controlfield tag="001">BV043585131</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20170322 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">160603s2016 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781107138384</subfield><subfield code="c">: hardback</subfield><subfield code="9">978-1-107-13838-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1107138388</subfield><subfield code="9">1-107-13838-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)951261601</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)GBV858622718</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-19</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA295</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.3/6</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 490</subfield><subfield code="0">(DE-625)143242:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 540</subfield><subfield code="0">(DE-625)143245:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.45</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">26D10</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">35A20</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ghergu, Marius</subfield><subfield code="0">(DE-588)101897590X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Isolated singularities in partial differential inequalities</subfield><subfield code="c">Marius Ghergu, University College Dublin ; Steven D. Taliaferro, Texas A&M University</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">[2016]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2016</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xii, 349 Seiten</subfield><subfield code="c">24 cm</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Encyclopedia of mathematics and its applications</subfield><subfield code="v">161</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="520" ind1="8" ind2=" "><subfield code="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</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Inequalities (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Singularities (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialungleichung</subfield><subfield code="0">(DE-588)4149785-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Differentialungleichung</subfield><subfield code="0">(DE-588)4149785-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Taliaferro, Steven D.</subfield><subfield code="0">(DE-588)1102567515</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Encyclopedia of mathematics and its applications</subfield><subfield code="v">161</subfield><subfield code="w">(DE-604)BV000903719</subfield><subfield code="9">161</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-028999705</subfield></datafield></record></collection> |
| id | DE-604.BV043585131 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:29:31Z |
| institution | BVB |
| isbn | 9781107138384 1107138388 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028999705 |
| oclc_num | 951261601 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-20 DE-83 |
| owner_facet | DE-19 DE-BY-UBM DE-20 DE-83 |
| physical | xii, 349 Seiten 24 cm |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Encyclopedia of mathematics and its applications |
| series2 | Encyclopedia of mathematics and its applications |
| spelling | Ghergu, Marius (DE-588)101897590X aut Isolated singularities in partial differential inequalities Marius Ghergu, University College Dublin ; Steven D. Taliaferro, Texas A&M University Cambridge Cambridge University Press [2016] © 2016 xii, 349 Seiten 24 cm txt rdacontent n rdamedia nc rdacarrier Encyclopedia of mathematics and its applications 161 Includes bibliographical references and index 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) Differentialungleichung (DE-588)4149785-5 gnd rswk-swf Differentialungleichung (DE-588)4149785-5 s DE-604 Taliaferro, Steven D. (DE-588)1102567515 aut Encyclopedia of mathematics and its applications 161 (DE-604)BV000903719 161 |
| spellingShingle | Ghergu, Marius Taliaferro, Steven D. Isolated singularities in partial differential inequalities Encyclopedia of mathematics and its applications Inequalities (Mathematics) Singularities (Mathematics) Differentialungleichung (DE-588)4149785-5 gnd |
| subject_GND | (DE-588)4149785-5 |
| title | Isolated singularities in partial differential inequalities |
| title_auth | Isolated singularities in partial differential inequalities |
| title_exact_search | Isolated singularities in partial differential inequalities |
| title_full | Isolated singularities in partial differential inequalities Marius Ghergu, University College Dublin ; Steven D. Taliaferro, Texas A&M University |
| title_fullStr | Isolated singularities in partial differential inequalities Marius Ghergu, University College Dublin ; Steven D. Taliaferro, Texas A&M University |
| title_full_unstemmed | Isolated singularities in partial differential inequalities Marius Ghergu, University College Dublin ; Steven D. Taliaferro, Texas A&M University |
| title_short | Isolated singularities in partial differential inequalities |
| title_sort | isolated singularities in partial differential inequalities |
| topic | Inequalities (Mathematics) Singularities (Mathematics) Differentialungleichung (DE-588)4149785-5 gnd |
| topic_facet | Inequalities (Mathematics) Singularities (Mathematics) Differentialungleichung |
| volume_link | (DE-604)BV000903719 |
| work_keys_str_mv | AT ghergumarius isolatedsingularitiesinpartialdifferentialinequalities AT taliaferrostevend isolatedsingularitiesinpartialdifferentialinequalities |