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:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2016
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 161 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| 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: | Title from publisher's bibliographic system (viewed on 05 Feb 2016) |
| Beschreibung: | 1 online resource (xii, 349 pages) |
| ISBN: | 9781316481363 |
| DOI: | 10.1017/CBO9781316481363 |
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Datensatz im Suchindex
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| author | Ghergu, Marius |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781316481363 |
| format | Electronic eBook |
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| id | DE-604.BV043940247 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9781316481363 |
| language | English |
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| physical | 1 online resource (xii, 349 pages) |
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| publishDate | 2016 |
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| publisher | Cambridge University Press |
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| series2 | Encyclopedia of mathematics and its applications |
| spelling | Ghergu, Marius Verfasser aut Isolated singularities in partial differential inequalities Marius Ghergu, Steven D. Taliaferro Cambridge Cambridge University Press 2016 1 online resource (xii, 349 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 161 Title from publisher's bibliographic system (viewed on 05 Feb 2016) 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 Differential equations, Partial Differentialungleichung (DE-588)4149785-5 gnd rswk-swf Differentialungleichung (DE-588)4149785-5 s 1\p DE-604 Taliaferro, Steven D. Sonstige oth Erscheint auch als Druckausgabe 978-1-107-13838-4 https://doi.org/10.1017/CBO9781316481363 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ghergu, Marius Isolated singularities in partial differential inequalities Differential equations, Partial 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, Steven D. Taliaferro |
| title_fullStr | Isolated singularities in partial differential inequalities Marius Ghergu, Steven D. Taliaferro |
| title_full_unstemmed | Isolated singularities in partial differential inequalities Marius Ghergu, Steven D. Taliaferro |
| title_short | Isolated singularities in partial differential inequalities |
| title_sort | isolated singularities in partial differential inequalities |
| topic | Differential equations, Partial Differentialungleichung (DE-588)4149785-5 gnd |
| topic_facet | Differential equations, Partial Differentialungleichung |
| url | https://doi.org/10.1017/CBO9781316481363 |
| work_keys_str_mv | AT ghergumarius isolatedsingularitiesinpartialdifferentialinequalities AT taliaferrostevend isolatedsingularitiesinpartialdifferentialinequalities |