Convexity criteria and uniqueness of absolutely minimizing functions
Analysis of PDEs
2015-05-18 v1 Optimization and Control
Abstract
We show that absolutely minimizing functions relative to a convex Hamiltonian are uniquely determined by their boundary values under minimal assumptions on Along the way, we extend the known equivalences between comparison with cones, convexity criteria, and absolutely minimizing properties, to this generality. These results perfect a long development in the uniqueness/existence theory of the archetypal problem of the calculus of variations in
Keywords
Cite
@article{arxiv.1003.3171,
title = {Convexity criteria and uniqueness of absolutely minimizing functions},
author = {Scott N. Armstrong and Michael G. Crandall and Vesa Julin and Charles K. Smart},
journal= {arXiv preprint arXiv:1003.3171},
year = {2015}
}
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34 pages