About Three Dimensional Jump Boundary Value Problems for the Laplacian

Автор(и)

  • Olexandr Polishchuk Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача image/svg+xml

DOI:

https://doi.org/10.31713/MCIT.2019.03

Ключові слова:

jump boundary value problems, Laplacian, simple and double layer potentials, well-posed solvability

Анотація

The conditions of well-posed solvability of searched function and its normal derivative three dimensional jump problem for the Laplacian and equivalent to them integral equation system for the sum of the simple and double layer potentials are determined in the Hilbert space, element of which as well as their normal derivatives have the jump through boundary surface.

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Опубліковано

2019-11-05