The Landis conjecture on exponential decay

Autor:	Logunov, A., Malinnikova, E., Nadirashvili, N., Nazarov, F.
Rok vydání:	2020
Předmět:	Mathematics - Analysis of PDEs Mathematical Physics Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	Consider a solution $u$ to $\Delta u +Vu=0$ on $\mathbb{R}^2$, where $V$ is real-valued, measurable and $|V|\leq 1$. If $|u(x)| \leq \exp(-C |x| \log^{1/2}|x|)$, $|x|>2$, where $C$ is a sufficiently large absolute constant, then $u\equiv 0$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2007.07034 Zobrazit plný text záznamu View this record from Arxiv