On the Uniqueness of the Recovery of the Domain of the Perturbed Laplace Operator

An arbitrary point is removed from a three-dimensional Euclidean space on a two-dimensional sphere. The new well-posed solvable boundary value problems for the corresponding Laplace-Beltrami operator on the resulting punctured sphere are presented. To formulate the well-posed problems some properties of Green's function of the Laplace-Beltrami operator on a two-dimensional sphere are previously studied in detail.

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Well-posed problems for the Laplace-Beltrami operator on a punctured two-dimensional sphere

Кангужин

Dosmagulova

2023

Advances in the Theory of Nonlinear Analysis and Its Application

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On the Uniqueness of the Recovery of the Domain of the Perturbed Laplace Operator

Cited by 1 publication

References 7 publications

Well-posed problems for the Laplace-Beltrami operator on a punctured two-dimensional sphere

Well-posed problems for the Laplace-Beltrami operator on a punctured two-dimensional sphere

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