Symmetrization & applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
c2006
|
| Schriftenreihe: | Series in analysis
v. 3 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Paralleltitel: Symmetrization and applications Includes bibliographical references (p. 141-146) and index Symmetrization -- Some Classical Inequalities -- Comparison Theorems -- Eigenvalue Problems -- Nonlinear Problems The study of isoperimetric inequalities involves a fascinating interplay of analysis, geometry and the theory of partial differential equations. Several conjectures have been made and while many have been resolved, a large number still remain open. One of the principal tools in the study of isoperimetric problems, especially when spherical symmetry is involved, is Schwarz symmetrization, which is also known as the spherically symmetric and decreasing rearrangement of functions. The aim of this book is to give an introduction to the theory of Schwarz symmetrization and study some of its applications. The book gives an modern and up-to-date treatment of the subject and includes several new results proved recently. Effort has been made to keep the exposition as simple and self-contained as possible. A knowledge of the existence theory of weak solutions of elliptic partial differential equations in Sobolev spaces is, however, assumed. Apart from this and a general mathematical maturity at the graduate level, there are no other prerequisites |
| Beschreibung: | 1 Online-Ressource (xii, 148 p.) |
| ISBN: | 9789812773937 9812773932 |
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| 490 | 0 | |a Series in analysis |v v. 3 | |
| 500 | |a Paralleltitel: Symmetrization and applications | ||
| 500 | |a Includes bibliographical references (p. 141-146) and index | ||
| 500 | |a Symmetrization -- Some Classical Inequalities -- Comparison Theorems -- Eigenvalue Problems -- Nonlinear Problems | ||
| 500 | |a The study of isoperimetric inequalities involves a fascinating interplay of analysis, geometry and the theory of partial differential equations. Several conjectures have been made and while many have been resolved, a large number still remain open. One of the principal tools in the study of isoperimetric problems, especially when spherical symmetry is involved, is Schwarz symmetrization, which is also known as the spherically symmetric and decreasing rearrangement of functions. The aim of this book is to give an introduction to the theory of Schwarz symmetrization and study some of its applications. The book gives an modern and up-to-date treatment of the subject and includes several new results proved recently. Effort has been made to keep the exposition as simple and self-contained as possible. A knowledge of the existence theory of weak solutions of elliptic partial differential equations in Sobolev spaces is, however, assumed. Apart from this and a general mathematical maturity at the graduate level, there are no other prerequisites | ||
| 650 | 4 | |a Inégalités isopérimétriques | |
| 650 | 4 | |a Symétrie (Mathématiques) | |
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| 650 | 7 | |a Symmetry (Mathematics) |2 fast | |
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Datensatz im Suchindex
| _version_ | 1804175524868653056 |
|---|---|
| any_adam_object | |
| author | Kesavan, S. |
| author_facet | Kesavan, S. |
| author_role | aut |
| author_sort | Kesavan, S. |
| author_variant | s k sk |
| building | Verbundindex |
| bvnumber | BV043108147 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)666958476 (DE-599)BVBBV043108147 |
| dewey-full | 516 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516 |
| dewey-search | 516 |
| dewey-sort | 3516 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043108147 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:17:40Z |
| institution | BVB |
| isbn | 9789812773937 9812773932 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028532338 |
| oclc_num | 666958476 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xii, 148 p.) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | World Scientific |
| record_format | marc |
| series2 | Series in analysis |
| spelling | Kesavan, S. Verfasser aut Symmetrization & applications S. Kesavan Symmetrization and applications Singapore World Scientific c2006 1 Online-Ressource (xii, 148 p.) txt rdacontent c rdamedia cr rdacarrier Series in analysis v. 3 Paralleltitel: Symmetrization and applications Includes bibliographical references (p. 141-146) and index Symmetrization -- Some Classical Inequalities -- Comparison Theorems -- Eigenvalue Problems -- Nonlinear Problems The study of isoperimetric inequalities involves a fascinating interplay of analysis, geometry and the theory of partial differential equations. Several conjectures have been made and while many have been resolved, a large number still remain open. One of the principal tools in the study of isoperimetric problems, especially when spherical symmetry is involved, is Schwarz symmetrization, which is also known as the spherically symmetric and decreasing rearrangement of functions. The aim of this book is to give an introduction to the theory of Schwarz symmetrization and study some of its applications. The book gives an modern and up-to-date treatment of the subject and includes several new results proved recently. Effort has been made to keep the exposition as simple and self-contained as possible. A knowledge of the existence theory of weak solutions of elliptic partial differential equations in Sobolev spaces is, however, assumed. Apart from this and a general mathematical maturity at the graduate level, there are no other prerequisites Inégalités isopérimétriques Symétrie (Mathématiques) MATHEMATICS / Geometry / General bisacsh Isoperimetric inequalities fast Symmetry (Mathematics) fast Isoperimetric inequalities Symmetry (Mathematics) Sobolev-Einbettung (DE-588)4181713-8 gnd rswk-swf Eigenwertproblem (DE-588)4013802-1 gnd rswk-swf Symmetrisierung (DE-588)4738312-4 gnd rswk-swf Isoperimetrische Ungleichung (DE-588)4162544-4 gnd rswk-swf Isoperimetrische Ungleichung (DE-588)4162544-4 s 1\p DE-604 Symmetrisierung (DE-588)4738312-4 s 2\p DE-604 Sobolev-Einbettung (DE-588)4181713-8 s 3\p DE-604 Eigenwertproblem (DE-588)4013802-1 s 4\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=514821 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kesavan, S. Symmetrization & applications Inégalités isopérimétriques Symétrie (Mathématiques) MATHEMATICS / Geometry / General bisacsh Isoperimetric inequalities fast Symmetry (Mathematics) fast Isoperimetric inequalities Symmetry (Mathematics) Sobolev-Einbettung (DE-588)4181713-8 gnd Eigenwertproblem (DE-588)4013802-1 gnd Symmetrisierung (DE-588)4738312-4 gnd Isoperimetrische Ungleichung (DE-588)4162544-4 gnd |
| subject_GND | (DE-588)4181713-8 (DE-588)4013802-1 (DE-588)4738312-4 (DE-588)4162544-4 |
| title | Symmetrization & applications |
| title_alt | Symmetrization and applications |
| title_auth | Symmetrization & applications |
| title_exact_search | Symmetrization & applications |
| title_full | Symmetrization & applications S. Kesavan |
| title_fullStr | Symmetrization & applications S. Kesavan |
| title_full_unstemmed | Symmetrization & applications S. Kesavan |
| title_short | Symmetrization & applications |
| title_sort | symmetrization applications |
| topic | Inégalités isopérimétriques Symétrie (Mathématiques) MATHEMATICS / Geometry / General bisacsh Isoperimetric inequalities fast Symmetry (Mathematics) fast Isoperimetric inequalities Symmetry (Mathematics) Sobolev-Einbettung (DE-588)4181713-8 gnd Eigenwertproblem (DE-588)4013802-1 gnd Symmetrisierung (DE-588)4738312-4 gnd Isoperimetrische Ungleichung (DE-588)4162544-4 gnd |
| topic_facet | Inégalités isopérimétriques Symétrie (Mathématiques) MATHEMATICS / Geometry / General Isoperimetric inequalities Symmetry (Mathematics) Sobolev-Einbettung Eigenwertproblem Symmetrisierung Isoperimetrische Ungleichung |
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