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math.AP2026
Diffusion bounds for non-autonomous degenerate parabolic equations
Marius Lemm, Israel Michael Sigal, Jingxuan Zhang
We consider possibly degenerate non-autonomous parabolic equations in spaces for all , and prove Gaussian space-time upper bounds of the Davies-Gaffney, or i…
math.AP2024
Spectral localization estimates for abstract linear Schrödinger equations
Jingxuan Zhang
We study the propagation properties of abstract linear Schrödinger equations of the form , where is a self-adjoint operator and a time-depend…