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math.AP2025
Spectral inequalities for Schrödinger equations and quantitative propagation of smallness in the plane
Eugenia Malinnikova, Jiuyi Zhu
This paper deals with spectral inequalities for one-dimensional Schrödinger operators with potentials bounded between two increasing functions (weights). The spectral inequality a…
math.AP2025
Hardy's Uncertainty principle for Schrödinger equations with quadratic Hamiltonians
Elena Cordero, Gianluca Giacchi, Eugenia Malinnikova
Hardy's uncertainty principle is a classical result in harmonic analysis, stating that a function in and its Fourier transform cannot both decay arbitrarily fas…