Universal prolongation of linear partial differential equations on filtered manifolds
Archivum Mathematicum (2009)
- Volume: 045, Issue: 4, page 289-300
- ISSN: 0044-8753
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topNeusser, Katharina. "Universal prolongation of linear partial differential equations on filtered manifolds." Archivum Mathematicum 045.4 (2009): 289-300. <http://eudml.org/doc/250691>.
@article{Neusser2009,
abstract = {The aim of this article is to show that systems of linear partial differential equations on filtered manifolds, which are of weighted finite type, can be canonically rewritten as first order systems of a certain type.
This leads immediately to obstructions to the existence of solutions. Moreover, we will deduce that the solution space of such equations is always finite dimensional.},
author = {Neusser, Katharina},
journal = {Archivum Mathematicum},
keywords = {prolongation; partial differential equations; filtered manifolds; contact manifolds; weighted jet bundles; prolongation; partial differential equation; filtered manifold; contact manifold; weighted jet bundle},
language = {eng},
number = {4},
pages = {289-300},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Universal prolongation of linear partial differential equations on filtered manifolds},
url = {http://eudml.org/doc/250691},
volume = {045},
year = {2009},
}
TY - JOUR
AU - Neusser, Katharina
TI - Universal prolongation of linear partial differential equations on filtered manifolds
JO - Archivum Mathematicum
PY - 2009
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 045
IS - 4
SP - 289
EP - 300
AB - The aim of this article is to show that systems of linear partial differential equations on filtered manifolds, which are of weighted finite type, can be canonically rewritten as first order systems of a certain type.
This leads immediately to obstructions to the existence of solutions. Moreover, we will deduce that the solution space of such equations is always finite dimensional.
LA - eng
KW - prolongation; partial differential equations; filtered manifolds; contact manifolds; weighted jet bundles; prolongation; partial differential equation; filtered manifold; contact manifold; weighted jet bundle
UR - http://eudml.org/doc/250691
ER -
References
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