Perturbation of the boundary in boundary-value problems of partial differential equations:
Perturbation of the boundary is a rather neglected topic in the study of PDEs for two main reasons. First, on the surface it appears trivial, merely a change of variables and an application of the chain rule. Second, carrying out such a change of variables frequently results in long and difficult ca...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2005
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| Schriftenreihe: | London Mathematical Society lecture note series
318 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Perturbation of the boundary is a rather neglected topic in the study of PDEs for two main reasons. First, on the surface it appears trivial, merely a change of variables and an application of the chain rule. Second, carrying out such a change of variables frequently results in long and difficult calculations. In this book, first published in 2005, the author carefully discusses a calculus that allows the computational morass to be bypassed, and he goes on to develop more general forms of standard theorems, which help answer a wide range of problems involving boundary perturbations. Many examples are presented to demonstrate the usefulness of the author's approach, while on the other hand many tantalizing open questions remain. Anyone whose research involves PDEs will find something of interest in this book |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (viii, 206 pages) |
| ISBN: | 9780511546730 |
| DOI: | 10.1017/CBO9780511546730 |
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| 505 | 8 | |a Geometrical preliminaries -- Differential calculus of boundary perturbations -- Examples using the implicit function theorem -- Bifurcation problems -- The tranversality theorem -- Generic perturbation of the boundary -- Boundary operators for second-order elliptic equations -- The method of rapidly-oscillating solutions | |
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Datensatz im Suchindex
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| author | Henry, Dan 1944-2002 |
| author_facet | Henry, Dan 1944-2002 |
| author_role | aut |
| author_sort | Henry, Dan 1944-2002 |
| author_variant | d h dh |
| building | Verbundindex |
| bvnumber | BV043942044 |
| classification_rvk | SI 320 SK 540 |
| collection | ZDB-20-CBO |
| contents | Geometrical preliminaries -- Differential calculus of boundary perturbations -- Examples using the implicit function theorem -- Bifurcation problems -- The tranversality theorem -- Generic perturbation of the boundary -- Boundary operators for second-order elliptic equations -- The method of rapidly-oscillating solutions |
| ctrlnum | (ZDB-20-CBO)CR9780511546730 (OCoLC)850116442 (DE-599)BVBBV043942044 |
| dewey-full | 515/.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.353 |
| dewey-search | 515/.353 |
| dewey-sort | 3515 3353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511546730 |
| format | Electronic eBook |
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| id | DE-604.BV043942044 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511546730 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351014 |
| oclc_num | 850116442 |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (viii, 206 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Cambridge University Press |
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| series2 | London Mathematical Society lecture note series |
| spelling | Henry, Dan 1944-2002 Verfasser aut Perturbation of the boundary in boundary-value problems of partial differential equations Dan Henry Cambridge Cambridge University Press 2005 1 online resource (viii, 206 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 318 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Geometrical preliminaries -- Differential calculus of boundary perturbations -- Examples using the implicit function theorem -- Bifurcation problems -- The tranversality theorem -- Generic perturbation of the boundary -- Boundary operators for second-order elliptic equations -- The method of rapidly-oscillating solutions Perturbation of the boundary is a rather neglected topic in the study of PDEs for two main reasons. First, on the surface it appears trivial, merely a change of variables and an application of the chain rule. Second, carrying out such a change of variables frequently results in long and difficult calculations. In this book, first published in 2005, the author carefully discusses a calculus that allows the computational morass to be bypassed, and he goes on to develop more general forms of standard theorems, which help answer a wide range of problems involving boundary perturbations. Many examples are presented to demonstrate the usefulness of the author's approach, while on the other hand many tantalizing open questions remain. Anyone whose research involves PDEs will find something of interest in this book Boundary value problems Perturbation (Mathematics) Differential equations, Partial Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Störungstheorie (DE-588)4128420-3 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Randwertproblem (DE-588)4048395-2 s Störungstheorie (DE-588)4128420-3 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-57491-4 https://doi.org/10.1017/CBO9780511546730 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Henry, Dan 1944-2002 Perturbation of the boundary in boundary-value problems of partial differential equations Geometrical preliminaries -- Differential calculus of boundary perturbations -- Examples using the implicit function theorem -- Bifurcation problems -- The tranversality theorem -- Generic perturbation of the boundary -- Boundary operators for second-order elliptic equations -- The method of rapidly-oscillating solutions Boundary value problems Perturbation (Mathematics) Differential equations, Partial Partielle Differentialgleichung (DE-588)4044779-0 gnd Störungstheorie (DE-588)4128420-3 gnd Randwertproblem (DE-588)4048395-2 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4128420-3 (DE-588)4048395-2 |
| title | Perturbation of the boundary in boundary-value problems of partial differential equations |
| title_auth | Perturbation of the boundary in boundary-value problems of partial differential equations |
| title_exact_search | Perturbation of the boundary in boundary-value problems of partial differential equations |
| title_full | Perturbation of the boundary in boundary-value problems of partial differential equations Dan Henry |
| title_fullStr | Perturbation of the boundary in boundary-value problems of partial differential equations Dan Henry |
| title_full_unstemmed | Perturbation of the boundary in boundary-value problems of partial differential equations Dan Henry |
| title_short | Perturbation of the boundary in boundary-value problems of partial differential equations |
| title_sort | perturbation of the boundary in boundary value problems of partial differential equations |
| topic | Boundary value problems Perturbation (Mathematics) Differential equations, Partial Partielle Differentialgleichung (DE-588)4044779-0 gnd Störungstheorie (DE-588)4128420-3 gnd Randwertproblem (DE-588)4048395-2 gnd |
| topic_facet | Boundary value problems Perturbation (Mathematics) Differential equations, Partial Partielle Differentialgleichung Störungstheorie Randwertproblem |
| url | https://doi.org/10.1017/CBO9780511546730 |
| work_keys_str_mv | AT henrydan perturbationoftheboundaryinboundaryvalueproblemsofpartialdifferentialequations |