A double complex related with a system of partial differential equations. I

Jan Chrastina

Archivum Mathematicum (1983)

  • Volume: 019, Issue: 2, page 83-97
  • ISSN: 0044-8753

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Chrastina, Jan. "A double complex related with a system of partial differential equations. I." Archivum Mathematicum 019.2 (1983): 83-97. <http://eudml.org/doc/18107>.

@article{Chrastina1983,
author = {Chrastina, Jan},
journal = {Archivum Mathematicum},
keywords = {contact form; variation bicomplex; Euler-Lagrange bicomplex; Vinogradov spectral sequence; Spencer homology; Koszul homology; Dedecker homology},
language = {eng},
number = {2},
pages = {83-97},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A double complex related with a system of partial differential equations. I},
url = {http://eudml.org/doc/18107},
volume = {019},
year = {1983},
}

TY - JOUR
AU - Chrastina, Jan
TI - A double complex related with a system of partial differential equations. I
JO - Archivum Mathematicum
PY - 1983
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 019
IS - 2
SP - 83
EP - 97
LA - eng
KW - contact form; variation bicomplex; Euler-Lagrange bicomplex; Vinogradov spectral sequence; Spencer homology; Koszul homology; Dedecker homology
UR - http://eudml.org/doc/18107
ER -

References

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  1. Tulczyjew W. M., The Euler-Lagrange resolution, Internat. Coll. on Differential Geometric Methods in Mathematical Physics, Aix-en-Provence 1979, Lecture Notes in Mathematics 836, Springer, 22-48. (1979) MR0607685
  2. Haine L., La suite spectrale d'Euler-Lagrange, Seminaire de Math. Pure, Institute Catholique de Louvain, 1-er semestre 1980. (1980) Zbl0465.58010
  3. Spencer D. C., Overdetermined systems of linear partial differential equations, Bull. Amer. Math. Soc, 75 (1969), 179-236. (1969) Zbl0185.33801MR0242200
  4. Serre J. P., A letter in the paper by Guillemin, V. W. and Sternberg, S., Bull. Amer. Math. Soc. 70 (1964), 42-46. (1964) 
  5. Cartan H., Eilenberg S., Homological algebra, Princeton University, 1956. (1956) Zbl0075.24305MR0077480
  6. Dedecker P., On the generalisation of symplectic geometry to multiple integrals in the calculus of variations, Lecture Notes in Mathematics 570, Springer, 395-456. MR0458478

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