3 citations · 7 across the 13 of their papers we have counts for
13 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…
Generalization of Completely Monotone Conjecture for Tsallis entropy
Li-Chang Hung
We generalize the completely monotone conjecture ([CG15]) from Shannon entropy to the Tsallis entropy up for orders up to at least four. To this end, we employ the algorithm ([Jün1…
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…
N-barrier maximum principle for degenerate elliptic systems and its application
Li-Chang Hung, Hsiao-Feng Liu, Chiun-Chuan Chen
In this paper, we prove the N-barrier maximum principle, which extends the result in [5] from linear diffusion equations to nonlinear diffusion equations, for a wide class of degen…
An N-barrier maximum principle for autonomous systems of species and its application to problems arising from population dynamics
Chiun-Chuan Chen, Li-Chang Hung, Chen-Chih Lai
We show that the N-barrier maximum principle (NBMP) remains true for species. In addition, a stronger lower bound in NBMP is given by employing an improved tangent line…
Remark on the N-barrier method for a class of autonomous elliptic systems
Li-Chang Hung
In this note, we aim to extend the previous work on an N-barrier maximum principle (\cite{hung2015n,hung2015maximum}) to a more general class of systems of two equations. Moreover,…
Blow-up in reaction-diffusion systems under Robin boundary conditions
Li-Chang Hung
In this paper we apply the differential inequality technique of Payne {\it et. al} \cite{Payne&SchaeferRobin08} to show that a reaction-diffusion system admits blow-up solutions, a…
Stationary solutions to the Poisson-Nernst-Planck equations with steric effects
Li-Chang Hung, Mach Nguyet Minh
Ion transport, the movement of ions across a cellular membrane, plays a crucial role in a wide variety of biological processes and can be described by the Poisson-Nernst-Planck equ…
An N-barrier maximum principle for elliptic systems arising from the study of traveling waves in reaction-diffusion systems
Li-Chang Hung
By employing the N-barrier method developed in the paper, we establish a new N-barrier maximum principle for diffusive Lotka-Volterra systems of two competing species. As an applic…
A maximum principle for diffusive Lotka-Volterra systems of two competing species
Li-Chang Hung, Chiun-Chuan Chen
Using a new approach, we establish a maximum principle for diffusive Lotka-Volterra systems of two competing species. Under certain conditions we show this maximum principle leads…