Spectral stability of higher order semi-elliptic operators
- Authors: Karapetyan G.1, Saribekyan N.1
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Affiliations:
- Russian-Armenian (Slavonic) University
- Issue: Vol 51, No 1 (2016)
- Pages: 1-10
- Section: Differential Equations
- URL: https://journals.rcsi.science/1068-3623/article/view/227876
- DOI: https://doi.org/10.3103/S1068362316010015
- ID: 227876
Cite item
Abstract
The paper gives estimates for the variation of eigenvalues of Dirichlet problem for semielliptic operators with homogeneous boundary conditions upon variation of the boundary of the domain on which the problem is considered. Operators of arbitrary even order in each direction and open sets with Lipschitz smooth boundary are considered.
About the authors
G. Karapetyan
Russian-Armenian (Slavonic) University
Author for correspondence.
Email: garnik_karapetyan@yahoo.com
Armenia, Yerevan
N. Saribekyan
Russian-Armenian (Slavonic) University
Email: garnik_karapetyan@yahoo.com
Armenia, Yerevan