30 citations · 30 across the 3 of their papers we have counts for
4 papers
Revisiting Quantum Optimal Control Theory: New Insights for the Canonical Solutions
Katherine Castro, Ignacio R. Solá, Juan J. Omiste
In this study, we present a revision of the Quantum Optimal Control Theory (QOCT) originally proposed by Rabitz et al (Phys. Rev. A 37, 49504964 (1988)), which has broad applicatio…
Uniqueness results and enclosure properties for hypersurfaces with boundary in weighted cylinders
Katherine Castro, César Rosales
For a Riemannian manifold , possibly with boundary, we consider the Riemannian product with a smooth positive function that weights the Riemannian measures…
Isoperimetric inequalities in cylinders with density
Katherine Castro
Given a compact Riemannian manifold with density without boundary and the real line with constant density, we prove that isoperimetric regions of large volume in $…
Free boundary stable hypersurfaces in manifolds with density and rigidity results
Katherine Castro, César Rosales
Let be a weighted manifold with boundary , i.e., a Riemannian manifold where a density function is used to weight the Riemannian Hausdorff measures. In this paper w…