Linear programming interpretations of Mather's variational principle
ESAIM: Control, Optimisation and Calculus of Variations (2010)
- Volume: 8, page 693-702
- ISSN: 1292-8119
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topEvans, L. C., and Gomes, D.. "Linear programming interpretations of Mather's variational principle." ESAIM: Control, Optimisation and Calculus of Variations 8 (2010): 693-702. <http://eudml.org/doc/90665>.
@article{Evans2010,
abstract = {
We discuss some implications of linear programming for Mather theory
[13-15] and its
finite dimensional approximations. We find that the complementary
slackness condition of duality theory formally implies that the Mather set lies in an
n-dimensional graph and as well predicts the relevant nonlinear PDE for the “weak
KAM” theory of Fathi [5-8].
},
author = {Evans, L. C., Gomes, D.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Linear programming; duality; weak KAM theory.; linear programming; weak KAM theory},
language = {eng},
month = {3},
pages = {693-702},
publisher = {EDP Sciences},
title = {Linear programming interpretations of Mather's variational principle},
url = {http://eudml.org/doc/90665},
volume = {8},
year = {2010},
}
TY - JOUR
AU - Evans, L. C.
AU - Gomes, D.
TI - Linear programming interpretations of Mather's variational principle
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 8
SP - 693
EP - 702
AB -
We discuss some implications of linear programming for Mather theory
[13-15] and its
finite dimensional approximations. We find that the complementary
slackness condition of duality theory formally implies that the Mather set lies in an
n-dimensional graph and as well predicts the relevant nonlinear PDE for the “weak
KAM” theory of Fathi [5-8].
LA - eng
KW - Linear programming; duality; weak KAM theory.; linear programming; weak KAM theory
UR - http://eudml.org/doc/90665
ER -
References
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