Carleman Parabola and the Eigenvalues of Elliptic Operators
- Authors: Kostin A.B.1
-
Affiliations:
- National Research Nuclear University “MEPhI”
- Issue: Vol 54, No 3 (2018)
- Pages: 318-329
- Section: Partial Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154706
- DOI: https://doi.org/10.1134/S0012266118030047
- ID: 154706
Cite item
Abstract
We study the problem of location of the spectrum of an elliptic operator in a bounded domain with both the classical and more special boundary conditions. On the complex plane, we construct the set of all eigenvalues of the corresponding operator and consider several examples to illustrate the “asymptotic accuracy” of the obtained set and consider an example of nonunique solvability of a parabolic inverse problem with final observation.
About the authors
A. B. Kostin
National Research Nuclear University “MEPhI”
Author for correspondence.
Email: abkostin@yandex.ru
Russian Federation, Moscow, 115409
Supplementary files
