Decay of eigenfunctions of elliptic PDE's

Ira Herbst, Erik Skibsted

Research output: Working paper/Preprint Working paperResearch

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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.
Original languageEnglish
PublisherDepartment of Mathematics, Aarhus University
Number of pages23
Publication statusPublished - 2013
SeriesPreprints
Number3
ISSN1397-4076

Keywords

  • eigenfunctions
  • exponential decay
  • microlocal analysis
  • combinatorics

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