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arXiv · 1712.04825

Explicit bounds for Lipschitz constant of solution to basic problem in calculus of variations

Miguel Oliveira·Georgi Smirnov
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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.

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Miguel Oliveira, Georgi Smirnov. 2017-12-13. Explicit bounds for Lipschitz constant of solution to basic problem in calculus of variations. https://arxiv.org/abs/1712.04825

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