On the Uniqueness of the Recovery of the Domain of the Perturbed Laplace Operator
Kanguzhin B. Akanbay Y. Kaiyrbek Z.
June 2022Pleiades journals
Lobachevskii Journal of Mathematics
2022#43Issue 61532 - 1535 pp.
Abstract: The paper gives a correct definition of the formal Laplace operator with delta-shaped perturbation. To define the area of use, the limiting potentials of simple and double layers are used. It is proved that from a set of spectra of some reference operators it is possible to unambiguously reconstruct the boundary densities of the potentials and the double layer. Moreover, one of the reference operators coincides with the original Laplace operator with delta-like perturbation.
canonical problems , Dirichlet problem , inverse problem , Laplace operator
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Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Al-Farabi Kazakh National University
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
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