The geometry of the space of Cauchy data of nonlinear PDEs

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F13%3A%230000395" target="_blank" >RIV/47813059:19610/13:#0000395 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.2478%2Fs11533-013-0292-y" target="_blank" >http://link.springer.com/article/10.2478%2Fs11533-013-0292-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2478/s11533-013-0292-y" target="_blank" >10.2478/s11533-013-0292-y</a>

Result language
angličtina
Original language name
The geometry of the space of Cauchy data of nonlinear PDEs
Original language description
First-order jet bundles can be put at the foundations of the modern geometric approach to nonlinear PDEs, since higher-order jet bundles can be seen as constrained iterated jet bundles. The definition of first-order jet bundles can be given in many equivalent ways - for instance, by means of Grassmann bundles. In this paper we generalize it by means of flag bundles, and develop the corresponding theory for higher-oder and infinite-order jet bundles. We show that this is a natural geometric framework forthe space of Cauchy data for nonlinear PDEs. As an example, we derive a general notion of transversality conditions in the Calculus of Variations.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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