2 papers
math.AP2025
Parabolic Frequency on Gaussian Spaces and Unique Continuation
Jin Sun, Kui Wang
We establish an almost-monotonicity formula for a parabolic frequency on Gaussian spaces for solutions of the Ornstein-Uhlenbeck heat equation with lower-order terms: $$\partial_t…
math.SP2025
Sharp Fundamental Gap Estimate on Convex Domains in Gaussian Spaces
Jin Sun, Kui Wang
We prove a sharp lower bound for the fundamental gap on convex domains in Gaussian spaces, the difference between the first two eigenvalues of the Ornstein-Uhlenbeck operator with…