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- W4281664035 abstract "Abstract We study the optimal arrangement of two conductive materials in order to maximize the first eigenvalue of the corresponding diffusion operator with Dirichlet conditions. The amount of the highest conductive composite is assumed to be limited. Since this type of problems has no solution in general, we work with a relaxed formulation. We show that the problem has some good concavity properties which allow us to get some uniqueness results. By proving that it is related to the minimization of the energy for a two-phase material studied in [4] we also obtain some smoothness results. As a consequence, we show that the unrelaxed problem has never solution. The paper is completed with some numerical results corresponding to the convergence of the gradient algorithm." @default.
- W4281664035 created "2022-06-13" @default.
- W4281664035 creator A5063248066 @default.
- W4281664035 date "2022-06-07" @default.
- W4281664035 modified "2023-10-18" @default.
- W4281664035 title "The Maximization of the First Eigenvalue for a Two-Phase Material" @default.
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- W4281664035 doi "https://doi.org/10.1007/s00245-022-09825-8" @default.
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