Schrödinger operators and unique continuation. Towards an optimal result

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dc.creatorKinzebulatov, D.
dc.creatorShartser, L.
dc.date2009-02-03
dc.date2009-02-04
dc.date.accessioned2026-07-07T12:37:15Z
dc.date.available2026-07-07T12:37:15Z
dc.descriptionIn this article we prove the property of unique continuation (also known for C^\infty functions as quasianalyticity) for solutions of the differential inequality |Δu| \leq |Vu| for V from a wide class of potentials (including L^{d/2,\infty}_{\loc}(R^d) class) and u in a space of solutions Y_V containing all eigenfunctions of the corresponding self-adjoint Schrödinger operator. Motivating question: is it true that for potentials V, for which self-adjoint Schrödinger operator is well defined, the property of unique continuation holds?
dc.identifierhttps://arxiv.org/abs/0902.0423
dc.identifierhttp://arxiv.org/abs/0902.0423
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218376
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35B60; 35J10
dc.titleSchrödinger operators and unique continuation. Towards an optimal result
dc.typetext

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