Some geometric aspects of the calculus of variations in several independent variables

David Saunders

Communications in Mathematics (2010)

  • Volume: 18, Issue: 1, page 3-19
  • ISSN: 1804-1388

Abstract

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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.

How to cite

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Saunders, David. "Some geometric aspects of the calculus of variations in several independent variables." Communications in Mathematics 18.1 (2010): 3-19. <http://eudml.org/doc/196812>.

@article{Saunders2010,
abstract = {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.},
author = {Saunders, David},
journal = {Communications in Mathematics},
keywords = {calculus of variations; parametric problems},
language = {eng},
number = {1},
pages = {3-19},
publisher = {University of Ostrava},
title = {Some geometric aspects of the calculus of variations in several independent variables},
url = {http://eudml.org/doc/196812},
volume = {18},
year = {2010},
}

TY - JOUR
AU - Saunders, David
TI - Some geometric aspects of the calculus of variations in several independent variables
JO - Communications in Mathematics
PY - 2010
PB - University of Ostrava
VL - 18
IS - 1
SP - 3
EP - 19
AB - 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.
LA - eng
KW - calculus of variations; parametric problems
UR - http://eudml.org/doc/196812
ER -

References

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