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 
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     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://www.numdam.org/articles/10.4171/RSMUP/137-8/}
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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://www.numdam.org/articles/10.4171/RSMUP/137-8/

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