Journal of convex analysis, Tome 13 (2006) no. 3, pp. 647-685
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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/
@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},
year = {2006},
volume = {13},
number = {3},
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
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
%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 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.
