Explorer Variations , approximation , and low regularity in one dimension

Abstract

We investigate the properties of minimizers of one-dimensional variational problems when the Lagrangian has no higher smoothness than continuity. An elementary approximation result is proved, but it is shown that this cannot be in general of the form of a standard Lipschitz “variation”. Part of this investigation, but of interest in its own right, is an… (More)

Topics

Cite this paper

@inproceedings{Gratwick2017ExplorerV, title={Explorer Variations , approximation , and low regularity in one dimension}, author={Richard Gratwick}, year={2017} }