Decay of eigenfunctions of elliptic PDE's

Ira Herbst; Erik Skibsted

Decay of eigenfunctions of elliptic PDE's

Ira Herbst, Erik Skibsted

Department of Mathematics

Research output: Working paper/Preprint › Working paper › Research

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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 language	English
Publisher	Department of Mathematics, Aarhus University
Number of pages	23
Publication status	Published - 2013

Series	Preprints
Number	3
ISSN	1397-4076

Keywords

eigenfunctions
exponential decay
microlocal analysis
combinatorics

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http://math.au.dk/publs?publid=981

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KW - exponential decay

KW - microlocal analysis

KW - combinatorics

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Decay of eigenfunctions of elliptic PDE's

Abstract

Keywords

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