Explicit bounds for Lipschitz constant of solution to basic problem in calculus of variations
Optimization and Control
2017-12-14 v1
Abstract
In this paper we present explicit estimate for Lipschitz constant of solution to a problem of calculus of variations. The approach we use is due to Gamkrelidze and is based on the equivalence of the problem of calculus of variations and a time-optimal control problem. The obtained estimate is used to compute complexity bounds for a path-following method applied to a convex problem of calculus of variations with polyhedral end-point constraints.
Cite
@article{arxiv.1712.04825,
title = {Explicit bounds for Lipschitz constant of solution to basic problem in calculus of variations},
author = {Miguel Oliveira and Georgi Smirnov},
journal= {arXiv preprint arXiv:1712.04825},
year = {2017}
}
Comments
16 pages