Open Access
VOL. 13 | 2012 A Natural Geometric Framework for the Space of Initial Data of Nonlinear PDEs
Giovanni Moreno

Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka

Geom. Integrability & Quantization, 2012: 245-257 (2012) DOI: 10.7546/giq-13-2012-245-257

Abstract

The modern geometrical approach to nonlinear PDEs is the outcome of a nontrivial synthesis of differential calculus over commutative algebras and cohomological algebra in the context of infinite jet spaces. In this paper we propose a very natural generalization of the notion of a jet space, which allows to treat the space of initial data of a nonlinear PDE on the same footing as the space of its solutions.

Information

Published: 1 January 2012
First available in Project Euclid: 13 July 2015

zbMATH: 1382.58003
MathSciNet: MR3087975

Digital Object Identifier: 10.7546/giq-13-2012-245-257

Rights: Copyright © 2012 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

PROCEEDINGS ARTICLE
13 PAGES


Back to Top