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Decay of eigenfunctions of elliptic PDE's, I
- Source :
- Herbst, I & Skibsted, E 2015, ' Decay of eigenfunctions of elliptic PDE's, I ', Advances in Mathematics, vol. 270, pp. 138-180 . https://doi.org/10.1016/j.aim.2014.11.001
- Publication Year :
- 2015
- Publisher :
- Elsevier BV, 2015.
-
Abstract
- We study exponential decay of eigenfunctions of self-adjoint higher order elliptic operators on Rd. We show that the possible (global) critical decay rates are determined algebraically. In addition we show absence of super-exponentially decaying eigenfunctions and a refined exponential upper bound.
Details
- ISSN :
- 00018708
- Volume :
- 270
- Database :
- OpenAIRE
- Journal :
- Advances in Mathematics
- Accession number :
- edsair.doi.dedup.....f2b8d8324945e9592b621d04b01d6e79