On the Variational Behaviour of the Subhessians of the Lasry-Lions Envelope
Journal of convex analysis, Tome 13 (2006) no. 3, pp. 647-685
Voir la notice de l'article provenant de la source Heldermann Verlag
A full analysis is made of the effect that the Lasry-Lions double-envelope has on the subjet and associated subhessians of a prox-bounded, lower-semicontinuous function. This enables the (basic) subdifferential of nonsmooth analysis and the limiting subjet of viscosity-solution theory to be characterized via accumulation points of the first- and second-order derivative information of approximating functions provided by the Lasry-Lions double-envelope.
@article{JCA_2006_13_3_JCA_2006_13_3_a10,
author = {A. Eberhard and R. Sivakumaran and R. Wenczel},
title = {On the {Variational} {Behaviour} of the {Subhessians} of the {Lasry-Lions} {Envelope}},
journal = {Journal of convex analysis},
pages = {647--685},
publisher = {mathdoc},
volume = {13},
number = {3},
year = {2006},
url = {http://geodesic.mathdoc.fr/item/JCA_2006_13_3_JCA_2006_13_3_a10/}
}
TY - JOUR AU - A. Eberhard AU - R. Sivakumaran AU - R. Wenczel TI - On the Variational Behaviour of the Subhessians of the Lasry-Lions Envelope JO - Journal of convex analysis PY - 2006 SP - 647 EP - 685 VL - 13 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JCA_2006_13_3_JCA_2006_13_3_a10/ ID - JCA_2006_13_3_JCA_2006_13_3_a10 ER -
%0 Journal Article %A A. Eberhard %A R. Sivakumaran %A R. Wenczel %T On the Variational Behaviour of the Subhessians of the Lasry-Lions Envelope %J Journal of convex analysis %D 2006 %P 647-685 %V 13 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/JCA_2006_13_3_JCA_2006_13_3_a10/ %F JCA_2006_13_3_JCA_2006_13_3_a10
A. Eberhard; R. Sivakumaran; R. Wenczel. On the Variational Behaviour of the Subhessians of the Lasry-Lions Envelope. Journal of convex analysis, Tome 13 (2006) no. 3, pp. 647-685. http://geodesic.mathdoc.fr/item/JCA_2006_13_3_JCA_2006_13_3_a10/