R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Comparison Principle and its Applications (I): Introduction and Proof
Ruey-An Shiu (National Taiwan University)
Abstract
We introduce and establish the classical comparison and maximum principles in elliptic equations through proof. We then extend their applicability to a coupled two-species Lotka-Volterra competition-diffusion model. Additionally, we introduce supersolutions and subsolutions, providing a foundation for subsequent analyses.