Sharp upper bounds on the number of the scattering poles

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dc.creatorStefanov, Plamen
dc.date2004-12-30
dc.date.accessioned2026-07-07T05:15:42Z
dc.date.available2026-07-07T05:15:42Z
dc.descriptionFor various compactly supported perturbations of the Laplacian in odd dimensions $n$, we prove a sharp upper bound of the resonance counting function $N(r)$ of the type $N(r) \le A_n r^n(1+o(1))$ with an explicit constant $A_n$. In a few special cases, we show that this estimate turns into an asymptotic.
dc.identifierhttps://arxiv.org/abs/math/0412536
dc.identifierhttp://arxiv.org/abs/math/0412536
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73719
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35P25
dc.titleSharp upper bounds on the number of the scattering poles
dc.typetext

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