Decay at infinity for parabolic equations
Analysis of PDEs
2007-05-23 v1
Abstract
We consider solutions to linear parabolic equations with initial data decaying at spatial infinity. For a class of advection-diffusion equations with a spatially dependent velocity field, we study the behavior of solutions as time tends to infinity. We characterize velocity fields, so that positive solutions decay or lift-off at spatial infinity as time tends to infinity. This addresses the question of stability of the zero solution for decaying perturbations.
Keywords
Cite
@article{arxiv.math/0509212,
title = {Decay at infinity for parabolic equations},
author = {Oliver C. Schnürer and Hartmut R. Schwetlick},
journal= {arXiv preprint arXiv:math/0509212},
year = {2007}
}
Comments
7 pages