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arXiv · 1509.08904

Landis-Oleinik Conjecture in the Exterior Domain

Jie Wu·Liqun Zhang
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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.

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Jie Wu, Liqun Zhang. 2015-09-29. Landis-Oleinik Conjecture in the Exterior Domain. https://arxiv.org/abs/1509.08904

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