On solutions to $-\Delta u = V u$ near infinity
Analysis of PDEs
2025-04-28 v2 Complex Variables
Abstract
We investigate the unique continuation property and the sign changing behavior of weak solutions to near infinity under certain conditions on the blow-up rate of the potential near infinity.
Cite
@article{arxiv.2401.05242,
title = {On solutions to $-\Delta u = V u$ near infinity},
author = {Yifei Pan and Yuan Zhang},
journal= {arXiv preprint arXiv:2401.05242},
year = {2025}
}
Comments
19 pages, accepted at Communications in Partial Differential Equations