5 papers
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…
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…
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…
Nonlinear estimates for traveling wave solutions of reaction diffusion equations
Li-Chang Hung, Xian Liao
In this paper we will establish nonlinear a priori lower and upper bounds for the solutions to a large class of equations which arise from the study of traveling wave solutions of…
On generalization of D'Aurizio-Sándor trigonometric inequalities with a parameter
Li-Chang Hung, Pei-Ying Li
In this work, we generalize the D'Aurizio-Sándor inequalities (\cite{D'Aurizio,Sandor}) using an elementary approach. In particular, our approach provides an alternative proof of t…