3 papers
math.AP2026
Propagation-Window Bounds in Degenerate Plant-Consumer Reaction-Diffusion Systems
Chiun-Chuan Chen, Ting-Yang Hsiao, Li-Chang Hung +2
We study traveling waves in high-dimensional plant--consumer reaction--diffusion systems with competing plants and associated consumers. We focus on the degenerate case in…
math.PR2026
A Heat Kernel Expectation Approach to Boundary-Corrected Li--Yau Estimates for the Dirichlet Heat Equation
Li-Chang Hung
In this paper, we establish an explicit boundary-corrected Li--Yau type gradient estimate for positive solutions of the Dirichlet heat equation on the Euclidean half-space. The mai…
math.PR2026
A Variance Representation Formula for Hölder's Inequality
Li-Chang Hung
We establish an exact representation formula for the deficit in Hölder's inequality. Rather than estimating the deficit by auxiliary quantities, we show that it can be represented…