| Title:
|
Some geometric aspects of the calculus of variations in several independent variables (English) |
| Author:
|
Saunders, David |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 |
| Volume:
|
18 |
| Issue:
|
1 |
| Year:
|
2010 |
| Pages:
|
3-19 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper describes some recent research on parametric problems in the calculus of variations. It explains the relationship between these problems and the type of problem more usual in physics, where there is a given space of independent variables, and it gives an interpretation of the first variation formula in this context in terms of cohomology. (English) |
| Keyword:
|
calculus of variations |
| Keyword:
|
parametric problems |
| MSC:
|
35A15 |
| MSC:
|
58A10 |
| MSC:
|
58A20 |
| idZBL:
|
Zbl 1235.58014 |
| idMR:
|
MR2848502 |
| . |
| Date available:
|
2011-10-25T07:14:03Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141669 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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[8] Krupka, D.: Lepagean forms and higher order variational theories.Proceedings of the IUTAM-ISIMM Symposium on Modern Developments in Analytical Mechanics , S. Benenti, M. Francaviglia, A. Lichnerowicz (eds.)Tecnoprint 1983 197–238 MR 0773488 |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| . |
