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Bounds on eigenfunctions of semiclassical operators with double characteristics

Authors :
Krupchyk, Katya
Uhlmann, Gunther
Publication Year :
2015

Abstract

We obtain sharp uniform bounds on the low lying eigenfunctions for a class of semiclassical pseudodifferential operators with double characteristics and complex valued symbols, under the assumption that the quadratic approximations along the double characteristics are elliptic.

Subjects

Subjects :
Mathematics - Analysis of PDEs
Mathematics - Spectral Theory
35P20, 81Q12, 81Q20

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1504.01069
Document Type :
Working Paper

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