Landis-Oleinik Conjecture in the Exterior Domain
Analysis of PDEs
2015-09-30 v1
Abstract
In 1974, Landis and Oleinik conjectured that if a bounded solution of a parabolic equation decays fast at a time, then the solution must vanish identically before that time, provided the coefficients of the equation satisfy appropriate conditions at infinity. We prove this conjecture under some reasonable assumptions on the coefficients which improved the earlier results.
Keywords
Cite
@article{arxiv.1509.08904,
title = {Landis-Oleinik Conjecture in the Exterior Domain},
author = {Jie Wu and Liqun Zhang},
journal= {arXiv preprint arXiv:1509.08904},
year = {2015}
}
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34 pages