Decay of eigenfunctions of elliptic PDE's

Ira Herbst, Erik Skibsted

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Abstract

We study exponential decay of eigenfunctions of self-adjoint higher order elliptic operators on Rd. We show that the possible critical decay rates are determined algebraically. In addition we show absence of super-exponentially decaying eigenfunctions and a refined exponential upper bound.
OriginalsprogEngelsk
UdgiverDepartment of Mathematics, Aarhus University
Antal sider23
StatusUdgivet - 2013
NavnPreprints
Nummer3
ISSN1397-4076

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