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math.SP2026
Lieb-Thirring bounds for Melik-Adamyan canonical Hamiltonians
Baruch Schneider, Diana Barseghyan Schneiderová, Yifan Zhang
We study a class of positive matrix Hamiltonians arising from the canonical differential expressions of Melik-Adamyan and appearing in the appendix of Alpay--Gohberg. Let and $…
math.SP2026
One-dimensional optimisation of indefinite-weight principal eigenvalues with asymmetric Robin parameters and a Schrödinger-type perturbation
Baruch Schneider, Diana Schneiderová, Yifan Zhang
We study the minimisation of the positive principal eigenvalue for an indefinite-weight problem with asymmetric Robin parameters. The model is motivated by diffusive logistic equat…