Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616841 | Journal of Mathematical Analysis and Applications | 2013 | 11 Pages |
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
Julián López-Gómez, Marcelo Montenegro,