These notes record and expand the lectures for the “Journées Équations aux Dérivées Partielles 2018” held by the author during the week of June 11-15, 2018. The aim is to give a overview of the classical theory for the obstacle problem, and then present some recent developments on the regularity of the free boundary.
@article{JEDP_2018____A2_0, author = {Figalli, Alessio}, title = {Free boundary regularity in obstacle problems}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, note = {talk:2}, pages = {1--24}, publisher = {Groupement de recherche 2434 du CNRS}, year = {2018}, doi = {10.5802/jedp.662}, language = {en}, url = {http://www.numdam.org/articles/10.5802/jedp.662/} }
TY - JOUR AU - Figalli, Alessio TI - Free boundary regularity in obstacle problems JO - Journées équations aux dérivées partielles N1 - talk:2 PY - 2018 SP - 1 EP - 24 PB - Groupement de recherche 2434 du CNRS UR - http://www.numdam.org/articles/10.5802/jedp.662/ DO - 10.5802/jedp.662 LA - en ID - JEDP_2018____A2_0 ER -
Figalli, Alessio. Free boundary regularity in obstacle problems. Journées équations aux dérivées partielles (2018), Talk no. 2, 24 p. doi : 10.5802/jedp.662. http://www.numdam.org/articles/10.5802/jedp.662/
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