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math.OC2019
Optimal partitioning of an interval and applications to Sturm-Liouville eigenvalues
Paolo Tilli, Davide Zucco
We study the optimal partitioning of a (possibly unbounded) interval of the real line into subintervals in order to minimize the maximum of certain set-functions, under rather…
math.OC2018
Spectral partitions for Sturm-Liouville problems
Paolo Tilli, Davide Zucco
We look for best partitions of the unit interval that minimize certain functionals defined in terms of the eigenvalues of Sturm-Liouville problems. Via Γ-convergence theory, we stu…