$L^\infty$-uniqueness of Schrödinger operators restricted in an open domain

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dc.creatorLemle, Ludovic Dan
dc.date2007-12-14
dc.date2008-03-09
dc.date.accessioned2026-07-07T09:25:28Z
dc.date.available2026-07-07T09:25:28Z
dc.descriptionConsider the Schrödinger operator ${\cal A}=-\fracΔ{2}+V$ acting on space $C_0^\infty(D)$, where $D$ is an open domain in $\R^d$. The main purpose of this paper is to present the $L^\infty(D,dx)$-uniqueness for Schrödinger operators which is equivalent to the $L^1(D,dx)$-uniqueness of weak solutions of the heat diffusion equation associated to the operator $\cal A$.
dc.identifierhttps://arxiv.org/abs/0712.2411
dc.identifierhttp://arxiv.org/abs/0712.2411
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156417
dc.subjectMathematical Physics
dc.subject(Primary) 47D03, 47F05 (Secondary) 60J60
dc.title$L^\infty$-uniqueness of Schrödinger operators restricted in an open domain
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