Imperial College London
Professor Ari Laptev

ProfessorAriLaptev

Faculty of Natural Sciences, Department of Mathematics

Chair in Pure Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8499a.laptev Website

 
 
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Assistant

 

Mr David Whittaker +44 (0)20 7594 8481

 
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Location

 

680Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Laptev:2021:10.1007/s13324-021-00527-y,
author = {Laptev, A and Weth, T},
doi = {10.1007/s13324-021-00527-y},
journal = {Analysis and Mathematical Physics},
pages = {1--24},
title = {Spectral properties of the logarithmic Laplacian},
url = {http://dx.doi.org/10.1007/s13324-021-00527-y},
volume = {11},
year = {2021}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We obtain spectral inequalities and asymptotic formulae for the discrete spectrum of the operator 12log(−Δ) in an open set Ω∈Rd, d≥2, of finite measure with Dirichlet boundary conditions. We also derive some results regarding lower bounds for the eigenvalue λ1(Ω) and compare them with previously known inequalities.
AU  - Laptev,A
AU  - Weth,T
DO  - 10.1007/s13324-021-00527-y
EP  - 24
PY  - 2021///
SN  - 1664-235X
SP  - 1
TI  - Spectral properties of the logarithmic Laplacian
T2  - Analysis and Mathematical Physics
UR  - http://dx.doi.org/10.1007/s13324-021-00527-y
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000691136400002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://link.springer.com/article/10.1007%2Fs13324-021-00527-y
UR  - http://hdl.handle.net/10044/1/91617
VL  - 11
ER  -
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