In this paper we extend a result regarding the free boundary regularity in a one-phase problem, by De Silva and Jerison [DJ], to non-divergence linear equations of second order. Roughly speaking we prove that the free boundary is given by a Lipschitz graph.
机构:
Ecole Polytech Fed Lausanne, Inst Math, Stn 8, CH-1015 Lausanne, SwitzerlandUniv Minnesota Twin Cities, Dept Math, 127 Vincent Hall,206 Church St SE, Minneapolis, MN 55455 USA
Fernandez-Real, Xavier
Yu, Hui
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机构:
Natl Univ Singapore, Dept Math, Singapore 119076, SingaporeUniv Minnesota Twin Cities, Dept Math, 127 Vincent Hall,206 Church St SE, Minneapolis, MN 55455 USA
Yu, Hui
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK,
2023,
2023
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