Article ID Journal Published Year Pages File Type
4616841 Journal of Mathematical Analysis and Applications 2013 11 Pages PDF
Abstract
We study the qualitative effects of the transport terms on the maximum principle for a family of one-dimensional linear second order boundary value problems. We mainly focus on sign changing transport functions, denoted by B(x). There is a huge difference between the cases when B is non-increasing or non-decreasing. It turns out that when B is non-increasing the maximum principle holds when the amplitude of B is sufficiently large, whereas it fails to be true if B is non-decreasing.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
, ,