A construction of a uniform continuous minimizing movement associated with a singular functional
Yamaura, Yoshihiko1
1 Nihon University, TOKYO, JAPAN
Rendiconti del Seminario Matematico della Università di Padova, Tome 137 (2017), pp. 155-184.

A minimizing movement is constructed associated with a singular functional introduced by Alt and Ca ffarelli in order to study a free boundary problem. The main purpose of the present research is to construct a minimizing movement, which is uniformly continuous with respect to both time and space variables. The strategy is to regularize the singular term of time discretized functionals, and then to pass to the limit in the regularization parameter in the sense of €Γ-convergence keeping the time discretization parameter fixed.

DOI : 10.4171/RSMUP/137-8
Classification : 35
Mots clés : Minimizing movement, free boundary problem, €$\Gamma$-convergence
Yamaura, Yoshihiko 1

1 Nihon University, TOKYO, JAPAN 
@article{RSMUP_2017__137__155_0,
     author = {Yamaura, Yoshihiko},
     title = {A construction of a uniform continuous minimizing movement associated with a singular functional},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {155--184},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {137},
     year = {2017},
     doi = {10.4171/RSMUP/137-8},
     mrnumber = {3652873},
     zbl = {1375.35132},
     url = {http://archive.numdam.org/articles/10.4171/RSMUP/137-8/}
}
TY  - JOUR
AU  - Yamaura, Yoshihiko
TI  - A construction of a uniform continuous minimizing movement associated with a singular functional
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2017
SP  - 155
EP  - 184
VL  - 137
PB  - European Mathematical Society Publishing House
PP  - Zuerich, Switzerland
UR  - http://archive.numdam.org/articles/10.4171/RSMUP/137-8/
DO  - 10.4171/RSMUP/137-8
ID  - RSMUP_2017__137__155_0
ER  - 
%0 Journal Article
%A Yamaura, Yoshihiko
%T A construction of a uniform continuous minimizing movement associated with a singular functional
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2017
%P 155-184
%V 137
%I European Mathematical Society Publishing House
%C Zuerich, Switzerland
%U http://archive.numdam.org/articles/10.4171/RSMUP/137-8/
%R 10.4171/RSMUP/137-8
%F RSMUP_2017__137__155_0
Yamaura, Yoshihiko. A construction of a uniform continuous minimizing movement associated with a singular functional. Rendiconti del Seminario Matematico della Università di Padova, Tome 137 (2017), pp. 155-184. doi : 10.4171/RSMUP/137-8. http://archive.numdam.org/articles/10.4171/RSMUP/137-8/

Cité par Sources :