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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

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

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