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- W2953090048 abstract "A free boundary problem arising from the optimal reinforcement of a membrane or from the reduction of traffic congestion is considered; it is of the form $$sup_{int_Dtheta,dx=m} inf_{uin H^1_0(D)}int_DBig(frac{1+theta}{2}|nabla u|^2-fuBig),dx.$$ We prove the existence of an optimal reinforcement $theta$ and that it has some higher integrability properties. We also provide some numerical computations for $theta$ and $u$." @default.
- W2953090048 created "2019-06-27" @default.
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- W2953090048 date "2015-05-30" @default.
- W2953090048 modified "2023-10-16" @default.
- W2953090048 title "A free boundary problem arising in PDE optimization" @default.
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