We consider the problem of finding estimates for the variation of the eigenvalues of partial differential operators of elliptic type following a domain perturbation. We survey several results obtained by using two different approaches, one of which based on Hardy-type inequalities.
Spectral stability estimates for elliptic operators in domain perturbation problems
BURENKOV, VICTOR;LAMBERTI, PIER DOMENICO
2007
Abstract
We consider the problem of finding estimates for the variation of the eigenvalues of partial differential operators of elliptic type following a domain perturbation. We survey several results obtained by using two different approaches, one of which based on Hardy-type inequalities.File in questo prodotto:
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