Decay of eigenfunctions of elliptic PDE's

2013/06/28 by Herbst, Ira, Skibsted, Erik
#Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1306.6878

Abstract

We study exponential decay of eigenfunctions of self-adjoint higher order elliptic operators on \R^d. 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.

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