Elliptic operators on planar graphs: Unique continuation for eigenfunctions and nonpositive curvature

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dc.creatorKlassert, S.
dc.creatorLenz, D.
dc.creatorPeyerimhoff, N.
dc.creatorStollmann, P.
dc.date2004-10-07
dc.date.accessioned2026-07-07T04:31:32Z
dc.date.available2026-07-07T04:31:32Z
dc.descriptionThis paper is concerned with elliptic operators on plane tessellations. We show that such an operator does not admit a compactly supported eigenfunction, if the combinatorial curvature of the tessellation is nonpositive. Furthermore, we show that the only geometrically finite, repetitive plane tessellations with nonpositive curvature are the regular $(3,6), (4,4)$ and $(6,3)$ tilings.
dc.identifierhttps://arxiv.org/abs/math-ph/0410022
dc.identifierhttp://arxiv.org/abs/math-ph/0410022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57846
dc.subjectMathematical Physics
dc.subjectFunctional Analysis
dc.subject81Q10; 35J10; 82B44
dc.titleElliptic operators on planar graphs: Unique continuation for eigenfunctions and nonpositive curvature
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