The main theorem connecting convex Hamiltonians and semicontinuous viscosity solutions due to Barron and Jensen is extended to quasiconvex Hamiltonians. Some applications are indicated.
Le théorème principal reliant les hamiltoniens convexes et les solutions de viscosité semicontinues, due à Barron et Jensen, est étendu aux hamiltoniens quasi-convexes. Quelques applications sont indiquées.
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@article{CRMATH_2013__351_19-20_737_0, author = {Barron, Emmanuel N.}, title = {Semicontinuous viscosity solutions for quasiconvex {Hamiltonians}}, journal = {Comptes Rendus. Math\'ematique}, pages = {737--741}, publisher = {Elsevier}, volume = {351}, number = {19-20}, year = {2013}, doi = {10.1016/j.crma.2013.09.021}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2013.09.021/} }
TY - JOUR AU - Barron, Emmanuel N. TI - Semicontinuous viscosity solutions for quasiconvex Hamiltonians JO - Comptes Rendus. Mathématique PY - 2013 SP - 737 EP - 741 VL - 351 IS - 19-20 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2013.09.021/ DO - 10.1016/j.crma.2013.09.021 LA - en ID - CRMATH_2013__351_19-20_737_0 ER -
%0 Journal Article %A Barron, Emmanuel N. %T Semicontinuous viscosity solutions for quasiconvex Hamiltonians %J Comptes Rendus. Mathématique %D 2013 %P 737-741 %V 351 %N 19-20 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2013.09.021/ %R 10.1016/j.crma.2013.09.021 %G en %F CRMATH_2013__351_19-20_737_0
Barron, Emmanuel N. Semicontinuous viscosity solutions for quasiconvex Hamiltonians. Comptes Rendus. Mathématique, Volume 351 (2013) no. 19-20, pp. 737-741. doi : 10.1016/j.crma.2013.09.021. http://archive.numdam.org/articles/10.1016/j.crma.2013.09.021/
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