Fine properties of minimizers of mechanical Lagrangians with Sobolev potentials
dc.contributor.author
Figalli, Alessio
dc.contributor.author
Mandorino, Vito
dc.date.accessioned
2024-06-27T06:54:11Z
dc.date.available
2017-06-12T19:38:07Z
dc.date.available
2024-06-27T06:54:11Z
dc.date.issued
2011-12
dc.identifier.issn
1078-0947
dc.identifier.issn
1553-5231
dc.identifier.other
10.3934/dcds.2011.31.1325
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/128219
dc.identifier.doi
10.3929/ethz-b-000128219
dc.description.abstract
In this paper we study the properties of curves minimizing mechanical Lagrangianwhere the potential is Sobolev. Since a Sobolev functionis only defined almost everywhere, no pointwise results can be obtained in this framework,and our point of view is shifted from single curves to measures in the space of paths.This study is motived by the goal of understanding the properties ofvariational solutions to the incompressible Euler equations.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
American Institute of Mathematical Sciences
en_US
dc.rights.uri
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject
Non-smooth Lagrangians
en_US
dc.subject
Euler-Lagrange equations
en_US
dc.subject
Action-minimizing measures
en_US
dc.subject
Value function
en_US
dc.title
Fine properties of minimizers of mechanical Lagrangians with Sobolev potentials
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
dc.date.published
2011-10
ethz.journal.title
Discrete and Continuous Dynamical Systems. Series A
ethz.journal.volume
31
en_US
ethz.journal.issue
4
en_US
ethz.journal.abbreviated
Discrete contin. dyn. syst.
ethz.pages.start
1325
en_US
ethz.pages.end
1346
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.notes
Published online September 2011.
en_US
ethz.identifier.nebis
010849236
ethz.publication.place
Springfield, MO
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::09565 - Figalli, Alessio / Figalli, Alessio
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::09565 - Figalli, Alessio / Figalli, Alessio
ethz.date.deposited
2017-06-12T19:38:38Z
ethz.source
ECIT
ethz.identifier.importid
imp5936553cc893e65301
ethz.ecitpid
pub:191124
ethz.eth
no
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2017-07-26T21:07:04Z
ethz.rosetta.lastUpdated
2020-02-14T17:58:41Z
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true
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true
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